Sine and Cosine of Complementary Angles: Record your information for steps 4 through 11. 1) Take a rectangular piece of blank paper and cut it diagonally to make a right triangle. 2) Label the angles A, B, and C (the right angle is C). 3) Label the sides lower-case a, b, and c (the hypotenuse is c). 4) Use a cm ruler to measure the lengths of a, b, and c. 5) Use a protractor to measure the angles A and B to the nearest degree. (Angle C is 90 degrees) 6) Add angles A and B. 7) What kind of angles are A and B? 8) What are the sine and cosine ratios for angles A and B? 9) What do you notice about the sine of angle A and the cosine of angle B? 10) What do you notice about the cosine of angle A and the sine of angle B? 11) Write a general statement that describes this relationship. Now express the following trigonometric ratios in terms of their cofunctions. 1) sin 40° = cos ? 2) cos 27° = 3) sin 90° = 4) cos 65° =

Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE: 1. Give the measures of the complement and the supplement of an angle measuring 35°.
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Sine and Cosine of Complementary Angles:
Record your information for steps 4 through 11.
1) Take a rectangular piece of blank paper and cut it diagonally to make a right triangle.
2) Label the angles A, B, and C (the right angle is C).
3) Label the sides lower-case a, b, and c (the hypotenuse is c).
4) Use a cm ruler to measure the lengths of a, b, and c.
5) Use a protractor to measure the angles A and B to the nearest degree. (Angle C is 90 degrees)
6) Add angles A and B.
7) What kind of angles are A and B?
8) What are the sine and cosine ratios for angles A and B?
9) What do you notice about the sine of angle A and the cosine of angle B?
10) What do you notice about the cosine of angle A and the sine of angle B?
11) Write a general statement that describes this relationship.
Now express the following trigonometric ratios in terms of their cofunctions.
1) sin 40° = cos ?
2) cos 27° =
3) sin 90° =
4) cos 65° =
Draw a Diagram:
Transcribed Image Text:Sine and Cosine of Complementary Angles: Record your information for steps 4 through 11. 1) Take a rectangular piece of blank paper and cut it diagonally to make a right triangle. 2) Label the angles A, B, and C (the right angle is C). 3) Label the sides lower-case a, b, and c (the hypotenuse is c). 4) Use a cm ruler to measure the lengths of a, b, and c. 5) Use a protractor to measure the angles A and B to the nearest degree. (Angle C is 90 degrees) 6) Add angles A and B. 7) What kind of angles are A and B? 8) What are the sine and cosine ratios for angles A and B? 9) What do you notice about the sine of angle A and the cosine of angle B? 10) What do you notice about the cosine of angle A and the sine of angle B? 11) Write a general statement that describes this relationship. Now express the following trigonometric ratios in terms of their cofunctions. 1) sin 40° = cos ? 2) cos 27° = 3) sin 90° = 4) cos 65° = Draw a Diagram:
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