Question

Express tan theta in terms of cosec theta

Answer 1

Hi ,
I m representing theta as "@"

Tan@=sin@/co@............(1)
i.e P/H upon B/H
=P/B

Also sin@ =1/Cosec@...........(2)
=1 upon H/P
=P/H

From (1),(2)
Tan@=1/cosex@ upon cos@

Answer 2

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

Step-by-step explanation:

We know that,

$\sin\theta=\dfrac{1}{cosec\theta}$ .....(1)

And

$\tan\theta=\dfrac{\sin\theta}{\cos\theta}$ ....(2)

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

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

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

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Express tanθ in terms of cosecθ.

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