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If - ={2} , then + is

Question

If $cos θ - sin θ = 2 sin θ$ , then $cos θ + sin θ$ is

2 cos θ

2 sin θ

0

1

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Asher Discussed

cos θ - sin θ = 2 sin θ

, then

cos θ + sin θ

12 mins ago

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12 mins ago

Text solutionVerified

given ,

cos θ - sin θ = 2 sin θ

squaring , we get

cos^{2} θ + sin^{2} θ - 2 sin θ = 2 sin^{2} θ

1 - 2 sin θ cos θ = 2 (1 - cos^{2} θ)

1 + 2 sin θ cos θ = 2 cos^{2} θ

sin^{2} θ + cos^{2} θ + 2 sin θ cos θ = 2 cos^{2} θ

(sin θ + cos θ)^{2} = 2 cos^{2} θ

∴ sin θ + cos θ = 2 cos θ

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Question Text	If $cos θ - sin θ = 2 sin θ$ , then $cos θ + sin θ$ is
Answer Type	Text solution:1
Upvotes	150