PROVE THIS TRIGONOMETRY IDENTITY

Question

cot(a+b)= cotacotb-1 (over) cota+cotb?

Answer 1

Step 1:

The trigonometric identity is .

Consider left hand side identity .

Rewrite the identity

Addition formula for trigonometric identitites:

and .

Substitute in the trigonometric identity.

Divide numerator and denominator by .

Fundamental identities : .

= Right hand side identity.

Hence, Left hand side identity is equal to Right hand side identity.

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Solution:

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