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
