Sine Formula

About Sine Formula

The sine formula is used to compute the angle of a right-angled triangle. This formula shows the relationship between the sides and angles of a right angle. The ratio of the opposing side to the hypotenuse side of a right triangle is known as sine. The hypotenuse is the longest side, while the opposite side is the opposite side of the hypotenuse. Sin is the shorthand for sine function in trigonometry.

Sine Formula

The Sine Angle Formula is, sinθ = Sine Formula

Solved examples of Sine Formula

Example: Calculate the sine angle of a right triangle whose opposite side and hypotenuse are 10 cm and 12 cm respectively.

Sol: It is given that Opposite side = 10 cm Hypotenuse = 12 cm

Using the formula: sinθ = Sine Formula

sinθ = Sine Formula

sinθ = 0.83

Check out the list of Maths formulas prepared by the experts of Home tution.com

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S.noFormulas List
1.A plus B Whole Square
2.A Plus B Whole Cube Formula
3.A Minus B Whole Square
4.A minus B Whole Cube Formula
5.X plus 1 whole cube Formula
6.2cosA cosB Formula
7.3D Distance Formula
8.30-60-90 Formula
9.90 Degree Angle Formula
10.a3 plus b3 Formula
11.a3 - b3 Formula
12.a2+b2+c2 Formula
13.Addition Formula
14.All Algebra Formula in One sheet
15.Algebraic Sequence Formula
16.All Circle Formulas
17.Altitude of a Triangle Formula
18.Amplitude Formula
19.Angle Bisector Theorem
20.Angle Difference Formula
21.Angles Formulas
22.Annuity Formula
23.ANOVA Test
24.Antiderivative Formula
25.APY Formula
26.Arccot Formula
27.Arc Length
28.Arctan Formula
29.Area of a circle
30.Area of a sector of a circle formula
31.Area under the curve formula
32.Arithmetic Sequence Recursive Formula
33.Arithmetic Mean Formula
34.Arithmetic Sequence Explicit Formula
35.Arithmetic Sequence Formula
36.ASA Formula
37.Associative Property Formula
38.Asymptote Formula
39.A Union B Formula
40.Average Deviation Formula
41.Average Formula
42.Average Rate of Change Formula
43.Average speed formula
44.Axis of the Symmetry
45.Basic Algebra Formula
46.Cosec Cot Formula
47.Baye's Formula
48.Binary to Decimal
49.Binomial Distribution Formula
50.Binomial Expansion
51.Binomial Theorem Formula
52.Calculus formulas
53.Calculus Formulas
54.Celsius Formula
55.Celsius to Fahrenheit
56.Celsius to kelvin
57.Centimeter Square to Meter Square Formula
58.Central Angle of a Circle Formula
59.Central Limit Theorem
60.Central Tendency Formula
61.Centroid Formula
62.Centroid of a Trapezoid Formula
63.Chain Rule And Composite Functions
64.Change of Base Formula
65.Chi-square formula
66.Circle Graph Formula
67.Clock Angle Formula
68.Coefficient of Variation
69.Cofactor Formula
70.Coin Toss Probability Formula
71.Combinations Formula
72.Common Ratio Formula
73.Commutative Property Formula
74.Completing the Square Formula
75.Complex Number Formula
76.Conditional probability Formula
77.Cone Height Formula
78.Confidence Interval Formula
79.Consecutive Integers Formula
80.Continuous Compounding Formula
81.Convert Millimeter to Inches Formula
82.Correlation Coefficient Formula
83.Cos Inverse Formula
84.Cos Square Theta Formula
85.Cosecant Formula
86.Cost Price Formula
87.Cot-Tan Formula
88.Cotangent formula
89.Covariance Formula
90.Cpk Formula
91.Cross product formula
92.Cube formula
93.Cube Root Formula
94.Cubic Equation Formula
95.Degrees to Radians
96.Double Angle Formulas
97.Quadratic Function
98.Quadrilateral Area Formulas
99.Quadrilateral Formulas
100.Quarterly Compound Interest Formula
101.Quartile Formula
102.Quarts to liters formula
103.Quotient Rule Formula
104.R Squared Formula
105.Radians to Degrees
106.Radical
107.Radius of Curvature Formula
108.Radius
109.Range Formula
110.Rate formula
111.Rate of Change Formula
112.Rate of Return Formula
113.Ratio Analysis Formulas
114.Ratio Formula
115.Rational Numbers Formula
116.Reciprocal Formula
117.Recursive Formula
118.Reduction Formula
119.Regular Hexagon Formula
120.Relative Change Formula
121.Relative Error Formula
122.Relative Frequency Formula
123.Relative Standard Deviation Formula
124.Remainder Formula
125.Lagrange Interpolation Formula
126.Lateral Area Formula
127.Lateral Surface Area of a Cube
128.Law of Cosines
129.Law of Sines
130.Least Common Multiple
131.Limit Formula
132.Linear Approximation Formula
133.Linear Equation Formula
134.Linear Function Formula
135.Linear Interpolation Formula
136.Litres to gallons formula
137.Log Formulas
138.Factorial
139.Factoring Trinomials Formula
140.Factorization Formula
141.Fahrenheit Equation
142.Fahrenheit to Celsius
143.Fahrenheit to Kelvin
144.Fibonacci Sequence Formula
145.Fibonacci Sequence
146.Foil Formula
147.Foot To Meter Formula
148.Formula For 180 Degree Rotation
149.Formula For Absolute Value
150.Formula For Adding Fractions
151.Formula For Adding Consecutive Numbers
152.Formula Arc Length
153.Formula For Dividing Fractions
154.Formula For Finding Angles
155.Formula For Odd Numbers
156.Formula For Period
157.Formula For Squaring
158.Isosceles Triangles Formulas
159.Formula To Find x Intercept
160.Fourier Series Formula
161.Fractions Formula
162.Frequency Distribution Formula
163.Frequency Formula
164.Frustum Of A Regular Pyramid Formula
165.Frustum of Cone
166.Function Formulas
167.Function Notation Formula
168.Future Value Compound Interest Formula
169.Future Value Simple Interest Formula
170.G To Kg Formula
171.GCD Formula
172.GCF Formula
173.Geometric Area Formula
174.Geometric Distribution Formula
175.Geometric Mean Formula
176.Geometric Sequence Formulas
177.Geometric Series Formula
178.Geometric Sum Formula
179.Geometry Formulas
180.Gradient Of A Line
181.Grams To Kilogram Formula
182.Great Circle Formula
183.Gross Profit Formula
184.Half Life Formula
185.Harmonic Mean Formula
186.HCF Formula
187.Height Of A Parallelogram Formula
188.Heron's Formula
189.Hexadecimal To Decimal Formula
190.Hexagon Formula
191.How To Convert 20 Celsius Into Fahrenheit
192.How To Convert Celsius Into Fahrenheit
193.Hyperbola Formula
194.Hyperbolic Functions Formula
195.Hypotenuse Formula
196.Implicit Differentiation Formula
197.Independent Events Formula
198.Infinite Geometric Series Formula
199.Infinite Series Formula
200.Integers Formulas
201.Integration By Parts Formula
202.Integration Formulas
203.Integration of UV Formula
204.Interest Formula
205.Interest Rate Formula
206.Interior Angle Formula
207.Internal Rate of Return Formula
208.Linear Interpolation Formula
209.Interquartile Range(IQR) Formula
210.Inverse Functions
211.Inverse of Matrix
212.Inverse Tangent Formula
213.Inverse Trigonometric Formulas
214.Inverse Variation Formula
215.Inversely Proportional Formula
216.Perimeter Of The Isosceles Triangle
217.Sample Mean Formula
218.Sample Size Formula
219.Sample Standard Deviation Formula
220.Sample Variance
221.SAS Triangle Formula
222.Scalene Triangle
223.Scientific Notation Formula
224.Secant Formula
225.Selling Price Formula
226.Long Division Formula
227.Sequences and Series Formulas
228.Semicircle Formulas
229.Sequence Formulas
230.Maclaurin Series Formula
231.Magnitude of a Vector
232.Sets Formulas
233.Magnitude of Vector formula
234.P(A/B) Formula
235.Matrix Formula
236.Mean Absolute Deviation Formula
237.Parabola Formula
238.Mean Deviation
239.Parallel Lines Formula
240.Parallelogram Formula
241.Mean formula
242.Pearson Correlation Formula
243.Percent Composition Formula
244.Mean Median Mode Formula
245.Mean Value Theorem
246.Median
247.Midpoint Formula
248.Miles to Km formula
249.Percent Decrease Formula
250.Measurement Formulas
251.Miles to meter formula
252.Percent Error
253.Percent Difference Formula
254.Percent Yield
255.ml to l Formula
256.Percentage Increase Formula
257.Mode
258.Monthly Compound Interest Formula
259.Mph to m/s formula
260.Percentile Formulas
261.Multiple Angle Formulas
262.Multiplication
263.n Choose k Formula
264.Perfect Cube Formula
265.Natural Log Formula
266.Perfect Square Formula
267.NCR Formula
268.Perfect Square Trinomial Formula
269.Net Change Formula
270.Net Income Formula
271.Net Present Value Formula
272.Perimeter Formulas
273.Net Worth Formula
274.Newton's Method Formula
275.Nominal Interest Rate Formula
276.Normal Distribution Formula
277.nPr Formula
278.Ordinary Annuity Formula
279.Orthocenter Formula
280.Perimeter Of A Circle Formula
281.Z Score
282.Perimeter Of A Kite Formula
283.Perimeter of a Trapezoid Formula
284.Yards to Meters Formula
285.Permutation And Combination
286.Y-Intercept
287.Permutation Formula
288.Work Formula
289.What are Trigonometric Functions Formulas
290.Weight formula
291.Perpendicular Line Formula
292.Phase Shift Formula
293.Weighted Mean
294.Weighted Average
295.Pi Formula
296.Point of Intersection Formula
297.Washer Method Formula
298.Point Slope Form
299.Volume Formulas
300.Vieta's Formula
301.Venn Diagram Formula
302.Vector Projection
303.Vector formulas
304.Poisson Distribution Formula
305.Polygon Formula
306.Polynomial Formula
307.Variance Formula
308.U Substitution Formula
309.Unit Vector
310.Population Change Formula
311.Unit Rate Formula
312.Unit Conversion
313.Unit Circle
314.Uniform Distribution Formula
315.Population Mean Formula
316.Trigonometry Formulas
317.Triangular Pyramid Formula
318.Triangle Formulas
319.Trapezoidal Rule
320.Trajectory Formula
321.Total Interest Formula
322.Time Formula
323.The direction of a vector
324.The Accuracy Formula and How to Calculate It
325.Temperature Conversion
326.T Distribution Formula
327.Taylor Series Formula
328.Taylor Polynomial Formula
329.Tangent Line
330.Tangent Formulas
331.Tangent Circle Formula
332.Tan Formula
333.Tan2x Formula
334.Surface-area-of-triangular-pyramid-formula
335.Surface Area of a Square Prism
336.Surface Area Formulas
337.Supplementary Angles Formula
338.Sum of Squares
339.Sum of Perfect Squares Formula
340.Sum of n Natural Numbers Formula
341.Sum of Integers Formula
342.Sum of Exterior Angles Formula
343.Sum of Even Numbers Formula
344.Sum of Cubes Formula
345.Sum of Arithmetic Sequence Formula
346.Sum of Angles Formula
347.Summation Formulas
348.Subtraction
349.Stirling Formula
350.Standard Form Formula
351.Standard Deviation
352.SSS Formula
353.Square Root
354.Square Footage Formula
355.Speed formula
356.Special Right Triangles
357.Special Factoring Formulas
358.Slope of the Secant Line Formula
359.Slope Intercept Form
360.Slope Formula
361.Slant Height Formula
362.Skewness Formula
363.Sin Squared x Formula
364.Sin Formula
365.Sine Formula
366.Sin Cos Tan
367.Sin Cos Formulas
368.Sin2x Formula
369.Simpson's Rule
370.Simple Interest
371.Similar Triangles Formula
372.Signal to Noise Ratio
373.Sides of Triangle
374.Shell Method Formula
375.Rotation Formula
376.Root Mean Square Formula
377.Rise Over Run Formula
378.Right Angled Triangle
379.Riemann Sum Formula
380.Rhombus Formula
381.Reverse Percentages
382.Revenue Formula
383.Resultant Vector Formula
384.Remainder Theorem
385.Profit Margin Formula
386.Profit Formula
387.Profit and loss formula
388.Product To Sum Formulas
389.Area of Square Formula
390.Product Rule
391.Area of Trapezoid
392.Basic Statistics Formula
393.Current Formula
394.Daily Compound Interest Formula
395.De Moivre's Formula
396.Exponential Decay Formula
397.Decimal to Binary Formula
398.Decimals Formula
399.Definite Integral Formula
400.Derivative Formula
401.Diagonal of a Cube Formula
402.Diagonal of a Parallelogram
403.Diagonal of a Polygon Formula
404.Diagonal of The Rectangle
405.Probability Formula
406.Prime Numbers Formula
407.Diagonal of the Square
408.Diagonals Formula
409.Prime Factorization Formula
410.Present Value Formula
411.Present Discounted Value Formula
412.Population Variance
413.Diameter Formula
414.Km to miles formula
415.Diameter Of A Sphere Formula Using Volume
416.Kilogram to newton formula
417.Exterior Angle Theorem
418.Difference of Cubes Formula
419.Exponential Formula
420.Difference of Squares Formula
421.Exponential Growth Formula
422.Exponential growth and decay formula
423.Exponential Function formula
424.Exponential Function
425.Side Angle Side Formula
426.Difference Quotient Formula
427.Differential Equation Formula
428.Dimensional Formula
429.Discriminant Formulas
430.Disk Method Formula
431.Distance Formula
432.Distributive Property Formula
433.Exponential Equations
434.Dividend Divisor Quotient Remainder Formula
435.Exponential Distribution
436.Exponential Decay Formula
437.Division Formula
438.Euler's Formula
439.Expected Value Formula
440.Dot product
441.Euclidean Distance Formula
442.Double Angle Formulas
443.Equilateral Triangle Formula
444.Equation of a circle formula
445.Endpoint Formula
446.Double Time Formula
447.Empirical Rule Formula
448.Empirical Probability Formula
449.Ellipse Formulas
450.Effective Interest Rate Formula
451.Effective Annual Rate Formula
452.Differentiation and Integration Formula
453.Direct Proportion Formula
454.Direct Variation Formula
455.a2-b2 Formula
456.Discount Formula
457.Determinant Formula
458.Pythagorean Triples Formula
459.P-value Formula
460.Proportion Formula
461.P(A intersections B) Formula
462.P(A union B)Formula
463.Decimal to Hexadecimal
464.Vertex Formula
465.Area of Octagon
466.Outlier Formula
467.Distance Between Two Points Formula