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Question
Find all the angles between 0° and 360° which satisfy the equation sin2θ = `3/4`
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Solution
sin2θ = `3/4`
⇒ sin θ = `+- sqrt(3)/2`
sin 60° = `sqrt(3)/2`
sin 120° = sin(180° – 60°)
= sin 60°
= `sqrt(3)/2`
∴ θ = 60° and 120°
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