How did you get d calculator of angle of projection

Mathematics

ScanSolve AI Answer

Step-by-step solution

3 steps

To find the angle when you know its sine value, you use the inverse sine function, often written as arcsin⁡\arcsin or sin⁡−1\sin^{-1} on a calculator.

  1. We had the equation sin⁡(2θ)=56\sin(2\theta) = \frac{5}{6}.

    To find the value of 2θ2\theta, we apply the inverse sine function to both sides:

    2θ=arcsin⁡(56)2\theta = \arcsin\left(\frac{5}{6}\right)
  2. Using a calculator, input arcsin⁡(5÷6)\arcsin(5 \div 6).

    arcsin⁡(56)≈56.44269∘\arcsin\left(\frac{5}{6}\right) \approx 56.44269^\circ

    So, 2θ≈56.44∘2\theta \approx 56.44^\circ.

  3. To find θ\theta, we divide this value by 2

    θ=56.44∘2\theta = \frac{56.44^\circ}{2} θ≈28.22∘\theta \approx 28.22^\circ

    This is how the angle of projection was calculated.

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