Sine and Cosine Relationship of Complementary Angles: CCSS.Math.Content.HSG-SRT.C.7

Practice Questions

Common Core: High School - Geometry › Sine and Cosine Relationship of Complementary Angles: CCSS.Math.Content.HSG-SRT.C.7

Questions
10
1

True or False: The sine of any acute angle is equal to the cosine of its complement.

2

Consider the equilateral triangle below. Find the height of the triangle using the sine cosine relationship of complementary angles.

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3

Use the sine and cosine relationship of complementary angles to solve for .

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4

You have two complementary angles, and . You know that and . Using your sine and cosine relationships, what is ?

5

Consider the following figure. and are parallel to each other. and are parallel to each other. Is there enough information to solve for using sine and cosine relationship of complementary angles? If so, what is the value of ?

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6

and are complementary angles. If what is ? Use the sine cosine relationship of complementary angles to solve this problem.

7

You have two complementary angles, and . You know that . Using your sine and cosine relationships, what is in degrees?

8

Use the sine and cosine relationship of complementary angles to find the diagonal of the square. (DO NOT use Pythagorean Theorem).

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9

True or False: The sine and cosine relationship of complementary angles is only true for the acute angles of a right triangle.

10

You have two complementary angles, and . Solve for , round to the second decimal place.

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