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If sin θ + sin2 θ =1, then the value of cos2 θ + cos4 θ is: (SSC Sub. Ins. 2015)
- a)2
- b)0
- c)1
- d)–1
Correct answer is option 'C'. Can you explain this answer?
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If sin θ + sin2 θ =1, then the value of cos2 θ + cos...
sinθ + sin2θ = 1
⇒ sinθ = 1 – sin2θ
⇒ sinθ = cos2θ
Squaring both sides
⇒ sin2θ = cos4θ
⇒ 1 – cos2θ = cos4θ
⇒ cos2θ + cos4θ = 1
⇒ sinθ = 1 – sin2θ
⇒ sinθ = cos2θ
Squaring both sides
⇒ sin2θ = cos4θ
⇒ 1 – cos2θ = cos4θ
⇒ cos2θ + cos4θ = 1
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If sin θ + sin2 θ =1, then the value of cos2 θ + cos4 θ is: (SSC Sub. Ins. 2015)a)2b)0c)1d)–1Correct answer is option 'C'. Can you explain this answer?
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