Posted by **denise ** on Sunday, July 24, 2011 at 11:28pm.

Find all solutions in the unterval [0,2pi), cos x/2-sinx=0

- pre cal 2 -
**Reiny**, Sunday, July 24, 2011 at 11:45pm
from sin2A = 2sinAcosA we can say that

sinx = 2sin(x/2)cos(x/2)

cos(x/2) = 2sin(x/2)cos(x/2)

1= 2sin(x/2)

sin(x/2) = 1/2

x/2 = 30°, 150° or π/6, 5π/6 radians

x = 60°, 300° or π/3, 5π/3 radians

## Answer this Question

## Related Questions

- pre cal - Find all solutions in the interval[0,2pi),cos x/2-sinx=0
- Pre-Cal - Approximate the equation's soultions in the interval (o, 2pi). If ...
- Pre-Cal(Please help) - Approximate the equation's soultions in the interval (o...
- Advanced Functions - Determine the solutions for: (cos x)/(1 + sinx) + (1 + sinx...
- Math Help - Hello! Can someone please check and see if I did this right? Thanks...
- Pre-cal - find all solutions of equation in [0, 2pi) 2 (sec x)^2 + (tan x)^2 -3...
- pre-cal/trig - PlEASE hlep me with this!! I need it as soon as possible....... ...
- Pre-Calculus - cos^2(x) + sin(x) = 1 - Find all solutions in the interval [0, ...
- trig - I need to find all solutions of the given equations for the indicated ...
- pre-cal - Simplify the given expression........? (2sin2x)(cos6x) sin 2x and cos ...

More Related Questions