Problem Statement

Simplify by referring to the appropriate triangle or trigonometric identity.

 
Step 1

Question Sequence

Question 1

Let θ = tan-1(x) so that tan(θ) = .

Incorrect
Correct

Question 2

Draw a right triangle where θ is one of the acute angles and tan θ = x. If the length of the side opposite to θ is x, find the length of the side adjacent to θ and the length of the hypotenuse.

opposite side length: x

adjacent side length:

hypotenuse length:

Incorrect
Correct

 
Step 2

Now we have the following triangle.

Question 3

Using this triangle, find cos(θ).

A.
B.
C.
D.
Correct.
Incorrect.