Question

sin⁴theta + 2sin²theta (1- 1/cosec²theta) + cos⁴theta​

Answer 1

Hey user,

Here is ur solution.....

with explanation

Answer 2

Answer:

Sin^4theta+2sin^2theta(1-1/cosec^2theta)+cos^4theta

=Sin^4theta+2sin^2theta(1-sin^2theta)+cos^4theta

=sin^4theta+2sin^2theta×cos^2theta+cos^4theta

=(sin^2theta+cos^2theta)^2

=(1)^2

=1

I hope it will help you