SOLUTION: Could you please help me solve this problem. Can you also show the steps, thank you. tan[(cos^(-1))(1/sqrt(17))]

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Question 918222: Could you please help me solve this problem. Can you also show the steps, thank you.
tan[(cos^(-1))(1/sqrt(17))]

Answer by Edwin McCravy(20060)   (Show Source): You can put this solution on YOUR website!


Since  is positive, its inverse cosine is a positive
angle between 0 and  in radians or between 0° and 90°, in degrees.
Therefore the tangent will be positive.

let 

Then the problem becomes to find 

Take the cosine of both sides of 









Substituting:

















Since we know that the answer is positive we can ignore the ±.



Edwin


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