Question

Sin power 4 teta - cos power 4 teta=?​

Answer 1

Answer:

step wise explanation

sin^4 theta + cos^4 theta

= (sin^2theta + cos^2theta)^2-2sin^2 theta cis^2 theta .

= 1 - 1/2 (sin^2 2theta )^2

[ Therefore, cos^2 theta + sin^2 theta = 1 and minimum value of sin^2 2 theta is 0 ]

sin^4 theta + cos^4 theta

= 1 - 0

therefore,

sin^4 theta + cos^4 theta = 1