Question

express tan in terms of cosec​

Answer 1

Answer:

Answer in attachment.

Answer 2

tanθ=

cosecθ⋅cosθ

1

Step-by-step explanation:

We know that,

\sin\theta=\dfrac{1}{cosec\theta}sinθ=

cosecθ

1

.....(1)

And

\tan\theta=\dfrac{\sin\theta}{\cos\theta}tanθ=

cosθ

sinθ

....(2)

Put equation (1) in equation (2) such that,

\tan\theta=\dfrac{1}{cosec\theta{\cdot} \cos\theta}tanθ=

cosecθ⋅cosθ

1

Hence, the above equation shows the expression for tanθ in terms of cosecθ.