SOLUTION: If 0° < x < 90° and cos(x)= 3/(√10) compute log(sin(x)) + log(cos(x)) + log(tan(x)).

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Question 1152766: If 0° < x < 90° and cos(x)= 3/(√10) compute log(sin(x)) + log(cos(x)) + log(tan(x)).
Answer by ikleyn(52817) About Me  (Show Source):
You can put this solution on YOUR website!
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Then  log(sin(x)) + log(cos(x)) + log(tan(x)) = log%28%28sin%28x%29%2Acos%28x%29%2A%28sin%28x%29%2Fcos%28x%29%29%29%29 = log%28%28sin%5E2%28x%29%29%29 = log%28%281-cos%5E2%28x%29%29%29 = log%28%281-9%2F10%29%29 = log%28%281%2F10%29%29 = -1.    ANSWER