Trig Substitution Problem w/ tan substitution

[Burjam]

Homework Statement

Under #3

Homework Equations

Trig identities

The Attempt at a Solution

The picture attached is my attempt. The square in the upper upper left is the problem and the one in the lower right is my solution. I'm seeing that I'm getting the wrong answer, but not how.

 

[ehild]

You should type in the problem at least.
The formula for csc (theta) is wrong, You miss a square root.

 

[Burjam]

I miss a square root? Where does a square root come into play? None of the sides of the triangle should have a square root in them.

 

[ehild]

I miss a square root? Where does a square root come into play? None of the sides of the triangle should have a square root in them.

Really? So the dimension of the sides of a right triangle is length, but that of the hypotenuse is length-squared?
Recall Pythagoras' Theorem.

 

[Burjam]

Haha sorry I did this while really tired... my bad.