How did you get d calculator of angle of projection

June 1, 2026Mathematics

ScanSolve AI Answer

June 1, 2026

Answer

\frac{5}{6}$.

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

Step 1: We had the equation $\sin(2\theta) = \frac{5}{6}$ . To find the value of $2\theta$ , we apply the inverse sine function to both sides: $2\theta = \arcsin\left(\frac{5}{6}\right)$

Step 2: Using a calculator, input $\arcsin(5 \div 6)$ . $\arcsin\left(\frac{5}{6}\right) \approx 56.44269^\circ$ So, $2\theta \approx 56.44^\circ$ .

Step 3: To find $\theta$ , we divide this value by 2: $\theta = \frac{56.44^\circ}{2}$ $\theta \approx 28.22^\circ$

This is how the angle of projection was calculated.

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Quick Answer

To find the angle when you know its sine value, you use the inverse sine function, often written as or ^-1 on a calculator.

Asked on June 1, 2026Mathematics

This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

ScanSolve AI AnswerAnswered on June 1, 2026

To find the angle when you know its sine value, you use the inverse sine function, often written as or ^-1 on a calculator. Step 1: We had the equation (2) = (5)/(6). To find the value of 2, we apply the inverse sine function to both sides: 2 = ((5)/(6)) Step 2: Using a calculator, input (5 ÷ 6). ((5)/(6)) ≈ 56.44269^ So, 2 ≈ 56.44^. Step 3: To find , we divide this value by 2: = (56.44^)/(2) ≈ 28.22^ This is how the angle of projection was calculated. That's 2 down. 3 left today — send the next one.

Asked on June 1, 2026Mathematics

ScanSolve AI AnswerAnswered on June 1, 2026

To find the angle when you know its sine value, you use the inverse sine function, often written as or ^-1 on a calculator. Step 1: We had the equation (2) = (5)/(6). To find the value of 2, we apply the inverse sine function to both sides: 2 = ((5)/(6)) Step 2: Using a calculator, input (5 ÷ 6). ((5)/(6)) ≈ 56.44269^ So, 2 ≈ 56.44^. Step 3: To find , we divide this value by 2: = (56.44^)/(2) ≈ 28.22^ This is how the angle of projection was calculated. That's 2 down. 3 left today — send the next one.