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If { 7 } = { 2 } for acute angles 7 and 2, then =

Question

If $sin 7 θ = cos 2 θ$ for acute angles $7 θ$ and $2 θ$ , then $θ =$

10

90

20

30

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Alexander Discussed

sin 7 θ = cos 2 θ

for acute angles

7 θ

and

2 θ

, then

θ =

7 mins ago

Discuss this question LIVE

7 mins ago

Text solutionVerified

Given :

sin 7 θ = cos 2 θ

⟹ sin 7 θ = sin (90 - 2 θ)

⟹ 7 θ = 90 - 2 θ

⟹ 9 θ = 90

⟹ θ = 10

Hence, the answer is

10

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Question Text	If $sin 7 θ = cos 2 θ$ for acute angles $7 θ$ and $2 θ$ , then $θ =$
Answer Type	Text solution:1
Upvotes	150