Textbook Question
Determine whether each statement is true or false. If false, tell why. Use a calculator for Exercises 39 and 42.sin 42° + sin 42° = sin 84°
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1. Measuring Angles
Angles in Standard Position
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What is the approximate measure of the angle shown below? Choose the most reasonable answer.
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Verified step by step guidance1
Observe the diagram: The angle θ is measured from the positive x-axis in the counterclockwise direction, ending in the third quadrant.
Recall that angles in standard position are measured counterclockwise from the positive x-axis. The third quadrant corresponds to angles between 180° and 270°.
Notice the direction of the arrow: It points downward and to the left, indicating the angle is in the third quadrant.
Consider the options given: 60°, 150°, 240°, and 300°. Only 240° falls within the range of the third quadrant (180° to 270°).
Conclude that the most reasonable measure for the angle θ, based on its position in the third quadrant, is approximately 240°.
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