SOLUTION: Determine all solutions of the equation in radians find cosx/2, given that sec x = 4 and x terminates in 0<x<pi/2. I tried and got +- sqr(5/8) but i don't how to make it to rad

Algebra.Com
Question 923529: Determine all solutions of the equation in radians
find cosx/2, given that sec x = 4 and x terminates in 0 I tried and got +- sqr(5/8) but i don't how to make it to radian.

Answer by lwsshak3(11628)   (Show Source): You can put this solution on YOUR website!
Determine all solutions of the equation in radians
find cosx/2, given that sec x = 4 and x terminates in 0 ***
cosx=1/secx=1/4 (In quadrant I where cos>0)

cos(x/2)=√(5/8)
use inverse cos key on calculator set to radians,then punch in √(5/8)
cos(x/2)≈0.659 radians

RELATED QUESTIONS

Determine all solutions of the equation in radians. Find cos(x/2), given that sec x=4... (answered by ewatrrr)
Determine all solutions of the equation in radians. Find cos x/2 , given that cos x... (answered by ikleyn)
determine all solutions of the equation in radians find cos (x/2), given that cos... (answered by lwsshak3)
find sin x/2 in radians, given that sinx =1/4 and x terminates in 0 less than x less than (answered by lwsshak3)
Find all solutions to the equation. 2cos^(2)x+cosx=0 Write answer in radians terms of (answered by solver91311)
Find all exact solutions, in radians, of: 2cos^2(x) + sqrt(2)cosx= 0... 0 (answered by lwsshak3)
find all solutions equation √3 sec(alpha)+2=0 writre your answer in radians and... (answered by lwsshak3)
Find all solutions in the equation.... (answered by Alan3354)
Find all solutions of the equation in the interval [0, 2pi)... (answered by lwsshak3)