Use a calculator to evaluate the expression.
arcsin 0.45
arctan 15
arcsin(-0.125)
arccos(-1/3)
sinA = 0.45, A = 26.7 Deg.
tanA = 15, A = 86.2 Deg.
sinA = (-0.125), A = -7.2 Deg. =-7.2 + 360 = 352.8Deg.
sinA = (-1/3), A = -19.5 Deg. = -19.5 + 360 = 340.5Deg.
To use a calculator to evaluate the expressions, follow these steps:
1. Make sure you have a calculator with trigonometric functions (like a scientific calculator or a calculator app on your phone).
2. Locate the trigonometric function buttons on your calculator. They are usually labeled as "sin", "cos", "tan", "arcsin", "arccos", and "arctan".
3. Enter the angle or value inside the parentheses of the respective trigonometric function.
4. Press the corresponding trigonometric function button to calculate the result.
5. The calculator will display the answer.
Using this method, let's evaluate the given expressions:
1. arcsin 0.45:
- On your calculator, look for the "arcsin" or "sin⁻¹" button.
- Enter 0.45 inside the parentheses: arcsin(0.45).
- Press the "arcsin" or "sin⁻¹" button.
- The calculator will display the answer.
2. arctan 15:
- On your calculator, locate the "arctan" or "tan⁻¹" button.
- Enter 15 inside the parentheses: arctan(15).
- Press the "arctan" or "tan⁻¹" button.
- The calculator will display the answer.
3. arcsin(-0.125):
- On your calculator, find the "arcsin" or "sin⁻¹" button.
- Enter -0.125 inside the parentheses: arcsin(-0.125).
- Press the "arcsin" or "sin⁻¹" button.
- The calculator will display the answer.
4. arccos(-1/3):
- On your calculator, locate the "arccos" or "cos⁻¹" button.
- Enter -1/3 inside the parentheses: arccos(-1/3).
- Press the "arccos" or "cos⁻¹" button.
- The calculator will display the answer.
By following these steps, you can use a calculator to evaluate these trigonometric expressions.