SOLUTION: tan theta + cot theta = 2 and condition is 0is less than theta and theta is less than 90 what is the value of theta

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Question 917269: tan theta + cot theta = 2 and condition is 0is less than theta and theta is less than 90 what is the value of theta
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
tan theta + cot theta = 2 and condition is 0is less than theta and theta is less than 90 what is the value of theta
***use x for theta
tanx+cotx=2 (0 < x ≤ 90˚)
tan%28x%29%2Bcot%28x%29=2
sin%28x%29%2Fcos%28x%29%2Bcos%28x%29%2Fsin%28x%29=2
%28sin%5E2%28x%29%2Bcos%5E2%28x%29%29%2F%28sin%28x%29cos%28x%29%29=2
1%2F%28sin%28x%29cos%28x%29%29=2
2sin(x)cos(x)=1
sin(2x)=1
2x=90˚
x=45˚