Chapter 1.

1.1 Problem Statement

Simplify by referring to the appropriate triangle or trigonometric identity.

1.2 Step 1

Question Sequence

Question 1.1

Let θ = tan-1(x) so that tan(θ) = DI5gwNqEYSCXiF8JHGQVM88hTv/521tc.

Incorrect
Correct

Question 1.2

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: 0VV1JcqyBrI=

hypotenuse length:

Incorrect
Correct

1.3 Step 2

Now we have the following triangle.

Question 1.3

Using this triangle, find cos(θ).

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
Correct.
Incorrect.