Question

I want answer for this question any one please.....
I want full explanation ​

Answer 1

Given:

• sinθ = cosθ

To find:

• Tanθ + Cotθ = ?

Identities used:

1. sinθ / cosθ = tanθ
2. cosθ / sinθ = cotθ

Method:

$\tan(\theta) + \cot(\theta) = \frac{ \sin(\theta) }{ \cos(\theta) } + \frac{ \cos(\theta) }{ \sin(\theta) } \\ \\ \sf since \sin(\theta) = \cos(\theta) \\ \\ = \frac{ \sin(\theta) }{ \sin( \theta) } + \frac{ \sin(\theta) }{ \sin(\theta) } \\ \implies1 + 1 \\ = 2$

Therefore the answer is 2