SOLUTION: How do you prove that sin^2 theta equals (sec^2 theta)(cos^2 theta) minus 1/sec^2theta is an identity

Algebra.Com
Question 1080511: How do you prove that sin^2 theta equals (sec^2 theta)(cos^2 theta) minus 1/sec^2theta is an identity
Answer by MathLover1(20850)   (Show Source): You can put this solution on YOUR website!


start withe right side and get to left side:


since , we have









RELATED QUESTIONS

Prove the identity: sin^2 theta/1-cos theta = (sec theta + 1)/sec theta (answered by stanbon)
cos^2(theta)sec^2(theta)-[cos^2theta+sin^2theta] (answered by mananth)
Prove that sec theta -1/ sec theta +1=(sin theta/1+cos... (answered by Alan3354)
How do you verify the identity? Sec(theta)/csc(theta) +sin(theta)/cos(theta)=2... (answered by lwsshak3)
prove the following identity: sin theta cos theta - sec theta sin theta = -sin^2 theta (answered by Fermat)
How do you prove (sin[theta]tan[theta])/1-(cos[theta])= 1+(sec[theta]) (answered by Alan3354)
establish each identity A) 1 - sin theta over cos theta + cos theta over 1 - sin... (answered by lwsshak3)
Prove that tan^2 theta/ (sec^2 theta-1)^2 =1+cos theta/1- cos theta (answered by mananth)
Prove that Tan^ 2 theta / ( Sec theta -1 )^2 = 1+ cos theta/ 1- cos... (answered by Alan3354)