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If Cos 2θ = Sin 4θ Where 2θ, 4θ Are Acute Angles, Find the Value of θ. - Mathematics

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प्रश्न

If cos 2θ = sin 4θ where 2θ, 4θ are acute angles, find the value of θ.

उत्तर

We know that sin (90 - θ) = cos θ

sin 20 = cos 2θ

sin 4θ = sin (90 - 2θ)

4θ = 90 – 20

6θ = 90

`θ = 90/6`

θ = 15°

 

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अध्याय 10: Trigonometric Ratios - Exercise 10.3 [पृष्ठ ५४]

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आरडी शर्मा Mathematics [English] Class 10
अध्याय 10 Trigonometric Ratios
Exercise 10.3 | Q 14 | पृष्ठ ५४
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