Questions: Trig Practice Assignment 1. a) Sketch a rotation angle of 40°. 2. b) What is the reference angle?

Trig Practice Assignment 1. a) Sketch a rotation angle of 40°. 2. b) What is the reference angle?
Transcript text: Trig Practice Assignment 1. a) Sketch a rotation angle of $40^{\circ}$. 2. b) What is the reference angle?
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Solution

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Solution Steps

Step 1: Sketch the angle

The angle is \(40^\circ\), which lies in the first quadrant. We can sketch it as a rotation from the positive x-axis in the counterclockwise direction.

Step 2: Identify the reference angle

Since the angle is in the first quadrant (\(0^\circ < 40^\circ < 90^\circ\)), the reference angle is the angle itself.

Final Answer

The reference angle is \\(\boxed{40^\circ}\\).

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