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If cos 2θ = sin 4θ and 2θ is acute, then find the value of θ. |
Answer» we have cos2θ = sin 4θ ⇒ sin(90° - 2θ) = sin 4θ comparing both sides, we get 90° - 2° = 4θ ⇒ 2θ + 4θ = 90° ⇒ 6θ= 90° ⇒ θ = \(\frac{90^\circ}6\) ∴ θ = 15° Hence, the value of θ is 15° |
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