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Given that sin⁡θ=0.5\sin \theta = 0.5 and θ\theta is an acute angle, find the value of θ\theta.

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Full solution

Q. Given that sin⁡θ=0.5\sin \theta = 0.5 and θ\theta is an acute angle, find the value of θ\theta.
  1. Use inverse sine function: Use the inverse sine function to find θ\theta.θ=sin⁡−1(0.5)\theta = \sin^{-1}(0.5)
  2. Calculate theta value: Calculate the value of theta using a calculator or trigonometric table.\newlineθ=30∘\theta = 30^\circ

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