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Question
If θ = 15° then `(sin 3θ)/(cos 4θ)` is equal to ______.
Options
`sqrt(2)`
2
`sqrt(3)`
3
MCQ
Fill in the Blanks
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Solution
If θ = 15° then `(sin 3θ)/(cos 4θ)` is equal to `underlinebb(sqrt(2))`.
Explanation:
3θ = 45°.
So, sin 3θ = sin 45°
= `sqrt(2)/2 . 4θ`
= 60°
So, cos 4θ = cos 60°
= `1/2`
Therefore, `(sin 3θ)/(cos 4θ)`
= `(sqrt(2)/2)/(1/2)`
= `sqrt(2)`
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