SOLUTION: What is the degree - measure of the least positive angle x such that log(base 2)cos(x) = -1/2

Algebra ->  Trigonometry-basics -> SOLUTION: What is the degree - measure of the least positive angle x such that log(base 2)cos(x) = -1/2      Log On


   



Question 1152664: What is the degree - measure of the least positive angle x such that log(base 2)cos(x) = -1/2
Found 2 solutions by Alan3354, Edwin McCravy:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
log%282%2Ccos%28x%29%29+=+-1%2F2
cos%28x%29+=+2%5E-0.5 --- fractional exponents don't render well
cos%28x%29+=+1%2Fsqrt%282%29+=+sqrt%282%29%2F2
x = 45 degs

Answer by Edwin McCravy(20066) About Me  (Show Source):