Question

prove that sin power 4 theta + cos power 4 theta = 1-sin spuaretheta cos squere theta​

Answer 1

HEY MATE HERE IS UR ANSWER.

TO PROVE : sin⁴@ + cos⁴@ = 1-2sin²@.cos²@

so,

PROOF : LHS = sin⁴@ + cos⁴@

= (sin²@ +cos²@)²-2sin²@.cos²@ { by identity (a+b)² = a² + b² + 2Ab }

= 1² - 2sin²@.cos²@

= 1 - 2sin²@. cos²@ = RHS .

HENCE PROVED...

THANKS ...

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