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

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

Question 1152665: If 0 ≤ x ≤ 180, find, in degrees, all angles x, which satisfy 0.2^(cos x) < 1.
Answer by ikleyn(52803) (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    is then   = ,  where t is a positive index.

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