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About Multiple Angle Formulas
The multiple angle formula is a trigonometric function with multiple angles. Under the many angle formulas, there are formulas for double and triple angles. The general functions for the multiple angle formula are sine, tangent, and cosine.
For various angles, the sin formula is
Where n=1,2,3,……
General formula: Sin2θ= 2CosθSinθ and Sin3θ=3Sinθ-4Sin3θ
The Cosine formula for several angles is as follows
Where n = 1,2,3
The basic formula is as follows:Cos2θ=Cos2θ-Sin2 and Cos3θ=4Cos3θ-3Cosθ
The formula for Tangent Multiple Angles
Solved Examples of Multiple Angle Formulas
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Sol:
Using the identities and formulas above we can solve the given identity as shown below:
Hence, LHS = RHS
Thus Provides.
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