SOLUTION: evaluate sqrt((4+4cos2x/1-cos2x))

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Question 1143230: evaluate sqrt((4+4cos2x/1-cos2x))
Answer by 4419875(21) About Me  (Show Source):
You can put this solution on YOUR website!
Remember that:
sin%5E2%28x%29%2Bcos%5E2%28x%29=1
and
cos2x+=+cos%5E2%28x%29-sin%5E2%28x%29
Now before substituting any value, factor out first the numerator:
sqrt%284%281%2Bcos2x%29%2F%281-cos2x%29%29
Then, now we take the square root of 4 and substitute the equivalent functions:

Solve the expression:
1.
2.sqrt%284%282cos%5E2%28x%29%29%29%2F%282sin%5E2%28x%29%29%29
3. Now cancel out 2 and you may find the equivalent in the form of cot%5E2%28x%29
4. Lastly get the sqrt of the expression sqrt%284+cot%5E2%28x%29%29
ANSWER: 2+cot%28x%29