Solving Right Triangles in PreCalculus

This video tutorial covers the second section of chapter six, focusing on trigonometry. It begins with a review of key angles and their trigonometric ratios, followed by a discussion on reciprocal relationships of trigonometric functions. The video then explains inverse trigonometric functions and their distinct roles compared to reciprocals. The tutorial demonstrates solving triangles using these functions, including finding missing angles and sides. Example problems are solved to illustrate the application of these concepts, emphasizing the importance of understanding both degrees and radians.

What is the sine of 45 degrees?

• sqrt(3)/2

• sqrt(2)/2

• 1/2

• 1

Which of the following is the cosine of 60 degrees?

• 1

• sqrt(3)/2

• 1/2

• sqrt(2)/2

What is the reciprocal of the sine function?

• Cosine

• Cotangent

• Cosecant

• Secant

Which function is the inverse of the sine?

• Cosine

• Arcsine

• Cosecant

• Secant

What is the result of applying the Pythagorean theorem to a triangle with sides 8 and 12?

• sqrt(80)

• 4 sqrt(5)

• 5 sqrt(4)

• 16

How do you find angle A using the sides 8 and 12 of a triangle?

• Sine rule

• Inverse sine

• Tangent rule

• Cosine rule

What is the degree measure of angle A found using the inverse sine of 8/12?

• 45 degrees

• 41.810 degrees

• 48.190 degrees

• 60 degrees

What is the cosine of angle B if the adjacent side is 8 and the hypotenuse is 12?

• 3/4

• 2/3

• 4/5

• 8/12

What is the degree measure of angle B found using the inverse cosine of 8/12?

• 45 degrees

• 41.810 degrees

• 48.190 degrees

• 60 degrees

What is the tangent of angle A if the opposite side is 5 and the adjacent side is 28?

• 23/5

• 28/5

• 5/28

• 5/23