Sir please gave the proof. cos^4x + sin^4x = 1- 2 cos^2x sin^2x.
Manish Raheja , 8 Years ago
Grade 10
Trigonometry> Sir please gave the proof. cos^4x + sin^4...
2 Answerssanad
L.H.S
sanad
L.H.S
= sin4x +cos4x
It can be writen in this way
= (sin2x)2 + cos4x
= ( 1 – cos2x)2 + cos4x
= 1 +cos4x – 2cos2x + cos4x
= 1 – 2cos2x +2 cos4x
=1 – 2cos2x(1 – cos2x)
= 1 – 2cos2xsin2x
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