Find sec theta if tan theta724 and theta terminates in Quadr

Find sec theta if tan theta=7/24 and theta terminates in Quadrant 3?

Solution

tan theta=7/24 and theta terminates in Quadrant 3

Hypoteuse of right angled triangle which has angle theta:

sqrt(24^2 +7^2) = 25

cos theta = -24/25 ( cos is -ve in IIIrd quadrant)

sectheta = 1/costheta = -25/24