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Q: How to determine theta in degrees if theta equals 0.33PI?

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If sin(theta) is 0.9, then theta is about 64 degrees or about 116 degrees.

If sine theta is 0.28, then theta is 16.26 degrees. Cosine 2 theta, then, is 0.8432

sin(theta) = 15/17, cosec(theta) = 17/15 cos(theta) = -8/17, sec(theta) = -17/8 cotan(theta) = -8/15 theta = 2.0608 radians.

determine the degree of -3

Yes. (Theta in radians, and then approximately, not exactly.)

theta = arcsin(0.0138) is the principal value.

It is a simple trigonometric equation. However, without information on whether the angles are measures in degrees or radians, and with no domain for theta, the equation cannot be solved.

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cos(theta) = 0.7902 arcos(0.7902) = theta = 38 degrees you find complimentary angles

sin (theta) = [13* sin (32o)]/8 = 13*0.529919264/8 = 0.861118804 [theta] = sin-1 (0.861118804) [theta] = 59.44o

answer is 2.34 degrees answer is 2.34 degrees

Sin theta of 30 degrees is1/2

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