If the cosine of some angle theta is equal to 0475 what are

If the cosine of some angle theta is equal to 0.475, what are the possible values of the sine and tangent of theta?

Options:

1.85, -1.85, 0.880, -0.880, 0.475, 1.08, 0.457, -0.457, 0.540, -0.540

Solution

sinx = 0.475

cosx = +/- sqrt( 1- sin^2x)

=+/- sqrt( 1- (0.475)^2) = +/- 0.88

cosx = 0.88, - 0.88

tanx = sinx/cosx = 0.475/0.88 , -0.475/0.88

tanx = 0.540 , -0.650

If the cosine of some angle theta is equal to 0.475, what are the possible values of the sine and tangent of theta? Options: 1.85, -1.85, 0.880, -0.880, 0.475,

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