SOLUTION: Verify the identity. Justify each step. tan theta + cot theta = 1/sin theta cos theta

Algebra.Com
Question 627972: Verify the identity. Justify each step.
tan theta + cot theta = 1/sin theta cos theta

Answer by KMST(5328)   (Show Source): You can put this solution on YOUR website!
Since and ,

For a common denominator to add those two fractions, the obvious choice is , so

Now we can write it all as one fraction:

At this point, you can use the identity to conclude that

RELATED QUESTIONS

tan theta + cot theta = 1 over the sin theta times cos theta It asks me to: "Verify the (answered by longjonsilver,chibisan,jsmallt9)
Verify the identity. Justify each step. cot [theta - x/2] = - tan... (answered by jsmallt9)
Simplify each trig expression into 1 term: 1.) sin(theta)+cos(theta)cot(theta)... (answered by stanbon)
verify the identity sec(theta)sin(theta)cot(theta)=1 (answered by MathLover1)
Establish the identity: tan^2(theta)cos^2(theta) +... (answered by mananth)
Verify identity cos(theta)... (answered by user_dude2008)
establish each identity A) sec^4 theta - sec^2 theta = tan^4 theta + tan^2 theta (answered by solver91311)
Verify the identity of cos(theta) tan(theta) over sin(theta) =... (answered by fractalier)
Prove the following identity : (cos^2 theta - sin^2 theta)/(cos^2 theta + sin theta cos... (answered by MathLover1)