If-sin-x-cosec-x-2-then-sin-n-x-cosec-n-x-is-equal-to-

Question Number 57448 by Pk1167156@gmail.com last updated on 04/Apr/19

If \sin x + cosec x = 2, then \sin^{n} x + {cosec}^{n} x

is equal to

Answered by tanmay.chaudhury50@gmail.com last updated on 04/Apr/19

a + \frac{1}{a} = 2

a^{2} + 1 = 2 a

{(a - 1)}^{2} = 0 s o a = 1

s i n x = a = 1

c o s e c x = \frac{1}{a} = 1

{s i n}^{n} x + {c o s e c}^{n} x

{(1)}^{n} + {(1)}^{n}

= 2