Question

sinx+cosecx=2 ,then sin power2x+cosec power2x=?​

Answer 1

put x=90degree

&sin90 degree =1

Answer 2

Step-by-step explanation:

sinx+cosecx=2

square on both side,

(Sin x + Cosec x)^2 = 4

Sin^2 x + Cosec^2 x +2(Sin x)(Cosec x)=4

Sin^2 x + Cosec^2 x + 2(Sin x)(1/Sin x)=4

Sin^2 x + Cosec^2 x + 2 = 4

Sin^2 x + Cosec^2 x = 4-2

Sin^2 x + Cosec^2 x = 2