Sine and Cosine of Complimentary Angles

Bellringer:
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[/img][br]
Use the following figure to complete tasks 1-5.
[img]data:image/png;base64,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[/img]
Task 1
What is the measure of 𝛼 +𝛽? How do you know?
Task 2
Use trigonometric ratios (sin, cos, or tan) to describe [math]\frac{BC}{AB}[/math]two different ways.
Task 3
Use trigonometric ratios (sin, cos, or tan) to describe [math]\frac{AC}{AB}[/math]two different ways.
Task 4
What can you conclude about sin[math]\alpha[/math] and cos[math]\beta[/math]?
Task 5
What can you conclude about cos[math]\alpha[/math] and sin[math]\beta[/math]?
Task 6
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[/img]
Task 7
[img]data:image/png;base64,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[/img]
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What did you learn about the relationship between the sine and cosine of a pair of angles that are complementary?
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Information: Sine and Cosine of Complimentary Angles