1. Use the unit circle to find the inverse function value in degrees.
tan^-1 √3
2. Use a calculator to find the value of the inverse function in radians
sin^-1 (0.65)
0.71
-3.85
0.86
-0.61
Use a calculator to find the value of the inverse function in radians
3. tan^-1 (0.009)
-0.09
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-1.48
3.05
-0.09
1. Use the unit circle to find the inverse function value in degrees. tan^-1 √3
2. Use a calculator to find the value of the inverse function in radians
sin^-1 (0.65)
0.71
-3.85
0.86
-0.61
1. The unit circle shows that tan 60° = √3. Therefore, tan^-1 √3 = 60°.
2. Using a calculator, sin^-1 (0.65) ≈ 0.71 radians.
1. To find the inverse function value of tan^-1 (√3) in degrees using the unit circle:
- Since tan is equal to the ratio of the opposite side to the adjacent side in a right triangle, we can find the angle by taking the inverse tangent of √3.
- The value of √3 is approximately 1.732.
- Locate the angle whose tangent is approximately 1.732 on the unit circle, which is π/3 or 60 degrees.
- Therefore, the inverse function value of tan^-1 (√3) in degrees is 60 degrees.
2. To find the value of the inverse function sin^-1(0.65) in radians using a calculator:
- Enter 0.65 into your calculator.
- Press the sin^-1 or arcsin button on your calculator.
- The result will be displayed as approximately 0.71 radians.
3. To find the value of the inverse function tan^-1(0.009) in radians using a calculator:
- Enter 0.009 into your calculator.
- Press the tan^-1 or arctan button on your calculator.
- The result will be displayed as approximately -0.09 radians or -5.15 degrees.