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If sin theta = 0.473, find the value of theta to the nearest degree?
3 Answers
- cidyahLv 75 years ago
sin theta = 0.473
sin is positive in quadrant 1 and 2
theta = arcsin(0.473) = 0.49269 radians (28.23 degrees)
The other solution is pi-0.49269 = 2.6489 radians (151.77 degrees)
The general solution is:
theta = 0.49269 + 2n pi (where n is any integer)
theta = 2.6489 + 2n pi (where n is any integer)
- PuzzlingLv 75 years ago
Simply compute arcsin(0.473). Usually that is the second function of the sin key on your calculator. Make sure your calculator is in Degree mode.
sin θ = 0.473
θ = arcsin(0.473)
θ ≈ 28.2292099°
Answer:
28° (to the nearest whole degree)