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.