Question

que- 2(sin^6 ∅ + cos^6 ∅ ) - 3 (sin^4 ∅^1 + cos^4 ∅ )+ 1 = 0 ......... guys sin^6 ka means sin ki power 6 h don't confuse guys

Answer 1

2(sin⁶θ+cos⁶θ)-3(sin⁴θ+cos⁴θ)+1

= 2{(sin²θ)³+(cos²θ)³}-3{(sin²θ)²+(cos²θ)²}+1

= 2{(sin²θ+cos²θ)³-3sin²θcos²θ(sin²θ+cos²θ)}-3{(sin²θ+cos²θ)²-2sin²θcos²θ}+1

=2(1-3sin²θcos²θ)-3(1-2sin²θcos²θ)+1

=2-6sin²θcos²θ-3+6sin²θcos²θ+1

=-1+1

=0 (Proved)

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