Answer to Question #190571 in Trigonometry for Melissa

Question

Determine the functions sin, cos and tan and their reciprocal and inverse functions.

Answer 1

$\sin \theta = \frac{{Opposite}}{{Hypothenuse}}\\ \cos\theta = \frac{{Adjacent}}{{Hypothenuse}}\\ \tan\theta = \frac{{Opposite}}{{Adjacent}} = \frac{\sin\theta}{\cos\theta} \\$

Cosecant, secant and tangent are the reciprocals of sine, cosine and tangent.

Arcsine, arccosine and arctangent are the inverse functions of sine, cosine and tangent.