English, asked by amanjattudhaliwal, 2 months ago

10.
Prove the tan sum of two angles​

Answers

Answered by vijayaselvam761
0

Answer:

Finding the sum of two angles formula for tangent involves taking quotient of the sum formulas for sine and cosine and simplifying. Recall, tanx=sinxcosx, when cosx≠0. Let's derive the sum formula for tangent.

Explanation:

Difference Formula for Cosine: cos(α−β)=cosαcosβ+sinαsinβ

Sum Formula for Cosine: cos(α+β)=cosαcosβ−sinαsinβ

Sum Formula for Sine: sin(α+β)=sinαcosβ+cosαsinβ

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