Evaluating Trigonometric Functions In Expresses 2332 find th

Evaluating Trigonometric Functions In Expresses 23-32, find the values of the six trigonometric functions of theta with the given constraint. Function Value Constrain tan theta = -15/8 sin theta > 0 cos theta = 8/17 tan theta 0 csc theta = 4 cot theta

Solution

23. tan theta=-15/8

sin theta>0, and tan theta is negative. It means cos theta is negative

Here opposite=15   and adjacent=8

hypotenuse=sqrt(225+64)=17

sin theta=opposite/hypotenuse=15/17

cos theta=adjacent/hypotenuse= -8/17

cot theta=1/tan theta=-8/15

sec theta=1/cos theta= -17/8

csc theta= 1/sin theta=17/15