Q13. If sin θ + sin2 θ = 1 then cos2 θ + cos4 θ is equal

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Q13. If sin θ + sin2 θ = 1 then cos2 θ + cos4 θ is equal

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(a) -1
(b) 1
(c) 0
(d) None of these

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Class 10 Maths swatiqna 3 years 2021-12-23T10:56:49+00:00 2021-12-23T10:56:49+00:00 1 Answer 6 views Enlightened 0

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swatiqna Enlightened · Answer 1 · 2021-12-23T10:57:40+00:00

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2021-12-23T10:57:40+00:00 December 23, 2021 at 10:57 am

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Answer: (b) 1

`sin θ+sin^2θ=1`
`⇒ 1-sin^2θ= sin θ`
Now,
`cos^2θ+cos^4θ`
`= cos^2 θ+cos^2θcos^2θ`
=` cos^2θ+(1-sin^2θ)(1-sin^2θ)`
`=cos^2θ+sinθ sinθ`
`=cos^2 θ+sin^2θ`
`=1`

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Q13. If sin θ + sin2 θ = 1 then cos2 θ + cos4 θ is equal

Q13. If sin θ + sin2 θ = 1 then cos2 θ + cos4 θ is equal

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