Question

plss solve it and give explanation too​

Answer 1

Answer:

1/125

Explanation:

sin^4x/2+cos^4/3=1/5

⇒sin^4x/2+((1−sin^2x)/3)^2=1/5

⇒sin^4/2+(1+sin4^x−2sin^2x/3)=1/5

⇒5sin^4x−4sin^2x+2=6/5

⇒25sin^4x−20sin^2x+4=0

⇒(5sin^2x−2)^2=0

⇒sin^2x=2/5

->sin^2x=3/5, tan2^x=2/3

->sin^8x/8+cos^8x/27=1/125

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