Angle Difference Formula

About Angle Difference Formula

By representing the trigonometric ratios of some specific non-standard angles as the difference between two standard angles, 

By representing the trigonometric ratios of some specific non-standard angles as the difference between two standard angles, angle difference formulae are utilised to find them. Angle difference identities are another name for these. Angle sum formulas exist in addition to angle difference formulas.

What is Angle Difference Formula?

The values of trigonometric functions of standard angles are already known from the trigonometric table. Using the trigonometric table, we may determine the exact values of sin 90°, cos 45°, cosec 30°, and so on. What are the values for sin 75°, cos 15°, tan 105°, and other angles?

Trigonometry Ratios Table
Angles (In Degrees) 0° 30° 45° 60° 90° 180° 270° 360°
Angles (In Radians) 0° π/6° π/4° π/3° π/2° π° 3π/2° 2π°
sin 0 1/2 1/√2 √3/2 1 0 -1 0
cos 1 √3/2 1/√2 1/2 0 -1 0 1
tan 0 1/√3 1 √3 ∞ 0 ∞ 0
cot ∞ √3 1 1/√3 0 ∞ 0 ∞
cosec ∞ 2 √2 2/√3 1 ∞ -1 ∞
sec 1 2/√3 √2 2 ∞ -1 ∞ 1

The angle difference and angle sum formulas can be used to find these.

The angle difference formulas are listed below.

sin (A+B) = sin A cos B + cos A sin B

sin (A-B) = sin A cos B - cos A sin B

cos (A+B) = cos A cos B - sin A sin B

cos (A-B) = cos A cos B + sin A sin B

tan (A+B) = (tan A + tan B)/(1 - tan A tan B)

tan (A-B) = (tan A - tan B)/(1 + tan A tan B)

Get the List of Maths formulas. 

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Angle Difference Formula

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