SOLUTION: Use the graphing feature of your calculator to solve: cosx = (1/2)sinx for 0 < x < 2pi. Round your answer(2) to the nearest hundredth of a radian.

Algebra ->  Trigonometry-basics -> SOLUTION: Use the graphing feature of your calculator to solve: cosx = (1/2)sinx for 0 < x < 2pi. Round your answer(2) to the nearest hundredth of a radian.       Log On


   

Question 1180404: Use the graphing feature of your calculator to solve: cosx = (1/2)sinx for 0 < x < 2pi. Round your answer(2) to the nearest hundredth of a radian.

Found 2 solutions by MathLover1, ikleyn:
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

cos%28x%29+=+%281%2F2%29sin%28x%29+ for 0+%3C+x+%3C+2pi
cos%28x%29+=+%281%2F2%29sin%28x%29+.... both sides divide by cos%28x%29
1=+%281%2F2%29%28sin%28x%29+%2Fcos%28x%29+%29.......... both sides multiply by 2, use identity tan%28x%29=sin%28x%29+%2Fcos%28x%29+
2=+tan%28x%29+
x=+tan%5E-1%282%29+
solution:
x=1.107148717794
x=1.11 radians
since tan+%28x%29 is periodic and the period is+pi, also it is given 0+%3C+x+%3C+2pi
other solution is
x=1.11%2Bpi
x=4.25 radians


Answer by ikleyn(52798) About Me  (Show Source):
You can put this solution on YOUR website!
.

Is my understanding correct, that you are unable to use your calculator ?



If you are interested to learn it, look into these Internet sources

https://www.youtube.com/watch?v=IbYCPiMfsoc

https://mathbits.com/MathBits/TISection/Trig/trigequations.htm



First link is YouTube video-lesson.

Second link is written instructions.