Question

EXERCISE 3.5
1. Find the value of sin (π+ x) sin (π – x) cosec2 x.​

Answer 1

Answer:We have, sin(π+x)sin(π-x)cosec^2.............(i)

We know

,sin(π+x)= -sinx.............(1)

and sin(π-x)= sinx............(2)

Substituting (1) and (2) in (i)

=> (-sinx)(sinx)cosec^2x

=> (-sin^2x)(cosec^2x).................(3)

We know,cosecx= 1/sinx

So,cosec^2x=1/sin^2x

Substituting in (3)

We get,

=>(-sin^2x)(1/sin^2x)= -1

So,the answer is -1.

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Step-by-step explanation: