Math, asked by gamingwithlegend852, 6 months ago

cosec^6-cot^6 = 1+3cosec^2cot^2

Answers

Answered by jyotisahil88
1

Answer:

nahi pata muje sorry ok bhai ya bhen

Answered by Amezkash
1

Step-by-step explanation:

cosec6θ=(cosec2θ)3.

cosec2θ=cot2θ+1−−−−(1)

(cosec2θ)3=(cot2θ+1)3

Since (x+y)3=x3+y3+3xy(x+y),we have

cosec6θ=(cot2θ)3+(1)3(cot2θ)(1)(cot2θ+1)

⇒cosec6θ=cot6θ+1+3.cot2.cosec2θ

⇒cosec6θ=cot6θ+3.cot2cosec2θ+1

∴ L.H.S=R.H.S

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