Question

cosx+cos²x=1 sin^8x+2sin^6x+sin⁴x=

Answer 1

you can go this way ...

Answer 2

Answer:

Answer is 2

Step-by-step explanation:

Given

         Cos x+Cos^2x=1

Then, Cos x=1-cos^2x=sin^2x (Trigonometric identity)

Sin^8x+2sin^6x+Sin^4x

=(Cos^2x)^2+2.(Cos^2x).(Cos^2x)+(Cos^2x)^2

2.(Cos x+cos^2x)^2.(Cos x+Cos^2x)

Cos x+Cos^2x=1

Therefore

    2.1.1=2