SOLUTION: If 0 ≤ x ≤ 180, find, in degrees, all angles x, which satisfy 0.2^(cos x) < 1.

Algebra ->  Trigonometry-basics -> SOLUTION: If 0 ≤ x ≤ 180, find, in degrees, all angles x, which satisfy 0.2^(cos x) < 1.       Log On


   

Question 1152665: If 0 ≤ x ≤ 180, find, in degrees, all angles x, which satisfy 0.2^(cos x) < 1.
Answer by ikleyn(52800) About Me  (Show Source):
You can put this solution on YOUR website!
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ANSWER.  The angles  0 <= x < 90 degrees.



Explanation.  The angles listed under the answer, i.e.   0 <= x < 90 degrees, OBVIOUSLY, satisfy the given inequality.


The complement to this set, i.e. angles  90 <= x <= 180 degrees, OBVIOUSLY, do not satisfy the given inequality,

since then  cos(x) is negative and  0.2%5E%28cos%28x%29%29  is then  %281%2F0.2%29%5Et = 5%5Et,  where t is a positive index.