How do you find a numerical value of one trigonometric function of x given tanx=1/4secx?

1 Answer
Nov 12, 2016

x=0.2526802551+2pin or x=2.888912398+2pin

Explanation:

tanx=1/4 secx

sinx/cosx=1/4 *1/cosx

sinx/cosx*cosx=1/4*1/cosx*cosx

sinx/cancelcosx*cancelcosx=1/4*1/cancelcosx*cancelcosx

sinx=1/4

x=sin^-1(1/4)

x=0.2526802551+2pin or x=(pi-0.2526802551)+2pin

x=0.2526802551+2pin or x=2.888912398+2pin