​Find a formula for tan^2 theta solely in terms of sin^2 theta

Mathematics
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Find a formula for tan^2 thetsolely in terms of sin^2 theta

Sep 30th, 2014

tan = sin/cos

Now cos2 = 1 - sin2 so cos = +/- sqrt(1 - sin2)

In the second quadrant, cos is negative, so cos = - sqrt(1 - sin2)
So that tan = sin/[-sqrt(1 - sin2)]
or -sin/sqrt(1 - sin2)

http://www.answers.com/Q/What_is_tan_theta_in_terms_of_sin_theta_in_quadrant_II

Sep 30th, 2014

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