SOLUTION: How do you prove that sin2theta = 2cot(theta)/csc^2(theta)

Algebra.Com
Question 613146: How do you prove that sin2theta = 2cot(theta)/csc^2(theta)
Answer by lwsshak3(11628)   (Show Source): You can put this solution on YOUR website!
How do you prove that sin2theta = 2cot(theta)/csc^2(theta)
Start with right side
2cotx/csc^2x
=(2cosx/sinx)/(1/sin^2x)
=2cosxsin^2x/sinx
=2sinxcosx
=sin2x
verified:
right side=left side

RELATED QUESTIONS

How do you find radian measures of cot(theta)-6=2cot(theta)+2 between intervals... (answered by lwsshak3)
How do you verify that 1+cot(theta)/csc(theta) = sin(theta) +... (answered by jsmallt9)
How do you verify the identity? Sec(theta)/csc(theta) +sin(theta)/cos(theta)=2... (answered by lwsshak3)
prove that cot (theta) cos (theta)=csc (theta)- sin (theta) (answered by lwsshak3)
If {{{ tan^2 (45+theta)= a/b }}} prove that {{{ (b-a)/(b+a) = -sin2theta... (answered by krutarthas)
prove that (\sin (\theta )+\tan (\theta ))/(\csc (\theta )+\cot (\theta )) = sin(\theta ) (answered by MathLover1,Edwin McCravy)
How do you prove (sin[theta]tan[theta])/1-(cos[theta])= 1+(sec[theta]) (answered by Alan3354)
How do you prove that sin^2 theta equals (sec^2 theta)(cos^2 theta) minus 1/sec^2theta is (answered by MathLover1)
Verify that sec theta/sin theta * cot theta/csc theta = csc theta is an identity, help? (answered by richard1234)