Verify the identity Simplify at each step 1 cos thetasin the

Verify the identity. (Simplify at each step.) 1+ cos theta/sin theta+ sin theta/1+cos theta =2 cse the theta 1+ cos theta/sin theta 1 + cos theta sin theta(1 + cos theta) (l + 2cos(theta) + cos^2 theta + sin^2 theta sin theta(1 + cos theta) 2 + 2(COS(theta) sin (theta)(1 + cos theta) = 2(1 + cos^2 theta sin theta (1 + cos theta) = 2 sin theta = 2 csc theta

Solution

the solution you have done is correct . you just made a typo error in that step

[2+2cos(theta)]/ sin(theta)(1+cos(theta)) = 2(1+cos(theta))/sin(theta)(1+cos(theta))

=2/sin(theta) = 2csc(theta)