Question

Sin inverse X/5+cosec inverse 5/4=π/2,then the value of X=_

Answer 1

Answer:

sin

−1

5

x

=

2

π

−cosec

−1

4

5

take sin on both sides,

5

x

=cos(cosec

−1

4

5

)[sin(sin

−1

x)=x]

∵cosec

−1

4

5

=cos

−1

5

3

5

x

=cos(cos

−1

5

3

)

5

x

=

5

3

x=3