SOLUTION: Determine the values of theta, 0 (less than of equal to) theta < 2pi, for which tan(theta) = -[radical]sec^2(theta)-1 is true. A quick explanation and solution would be greatly

Algebra ->  Trigonometry-basics -> SOLUTION: Determine the values of theta, 0 (less than of equal to) theta < 2pi, for which tan(theta) = -[radical]sec^2(theta)-1 is true. A quick explanation and solution would be greatly       Log On


   

Question 741616: Determine the values of theta, 0 (less than of equal to) theta < 2pi, for which tan(theta) = -[radical]sec^2(theta)-1 is true.
A quick explanation and solution would be greatly appreciated!
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
Determine the values of theta, 0 (less than of equal to) theta < 2pi, for which tan(theta) = -[radical]sec^2(theta)-1 is true.
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tan%28x%29=-sqrt%28sec%5E2%28x%29-1%29
start with right side
-sqrt%28sec%5E2%28x%29-1%29
Identity: tan%5E2%28x%29=sec%5E2%28x%29-1
-sqrt%28sec%5E2%28x%29-1%29=-sqrt%28tan%5E2%28x%29%29=tan%28x%29