Question

if sin theta + sin square theta is equal to 1 show that cos square theta + cos raised to 4 theta is equal to 1​

Answer 1

Answer:

hope this helps u:)

Step-by-step explanation:

Answer 2

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sin + sin² = 1

sin = 1 - sin²

sin = cos²

squaring on both side

( sin)² = (cos²)²

sin² = cos⁴ ......( 1 )

cos² + cos⁴ = 1

taking L.H.S.

cos²+ cos⁴

= cos² + ( sin²) ....from ( 1 )

= cos² + sin²

= sin² + cos²

= 1 [ sin² + cos ² = 1 ]

= R.H.S.

L.H.S. = R.H.S.

hence ,proved