Question

Cos^2xcscx-cscx=___x
fill in the blank

Answer 1

(-sinx)

Explanation:

The given expression is cox²x cosecx - cosecx

We have to simplify it

= cos²x
`((1)/(sinx))-((1)/(sinx))`

=
`(cos^(2)x )/(sinx)-(1)/(sinx)`

=
`(1)/(sinx)` × (cos² x-1)

= -
`(1-con^(2)x)/(sinx)`

= -
`(sin^(2)x)/(sinx)`

= - sinx

Therefore, (-sinx) is the answer.

Answer 2

cscx(cos²x - 1) = -sin²x/sinx
= - sinx