Question

Prove that:
$cosec \frac{a - 2\pi}{4} = - sec \frac{a}{4}$
​

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