Question

Use trigonometric identities to rewrite the equation sec theta/ csc theta =1

Answer 1

sec θ/ csc θ==> tan θ =1
the answer is tan θ=1

Answer 2

`tan\theta=1`

Explanation:

We have to rewrite the equation:

`(sec\theta)/(cosec\theta)=1`

We know that

`sec\theta=(1)/(cos\theta)`

and
`cosec\theta=(1)/(sin\theta)`

on putting these equation in first equation, we get:

`((1)/(cos\theta))/((1)/(sin\theta)) =1\\\\\\(sin\theta)/(cos\theta)=1\\ \\tan\theta=1`