Complementary Angles and Trigonometric Functions

The video tutorial addresses how to solve a trigonometry problem when the sine button on a calculator is not working. It explains the concept of complementary angles and demonstrates how to use the cosine function as an alternative to find a missing side in a right triangle. The tutorial includes a step-by-step solution using cross products and provides additional examples to reinforce the understanding of complementary angles in trigonometry.

What is the alternative method to find a missing side if the sine button on a calculator is not working?

• Use the tangent function

• Use the cosine of the complementary angle

• Use the cotangent function

• Use the secant function

Tags

CCSS.HSG.SRT.C.6

Which trigonometric function is used when the opposite side and hypotenuse are known?

• Cosine

• Sine

• Tangent

• Cotangent

Tags

CCSS.HSG.SRT.C.7

If the sine of 46 degrees is equal to 12 over y, what is the cosine of the complementary angle?

• Cosine of 60 degrees

• Cosine of 46 degrees

• Cosine of 90 degrees

• Cosine of 44 degrees

Tags

CCSS.HSG.SRT.C.8

What is the value of y when you solve 12 divided by the cosine of 44 degrees?

• 17.2

• 15.3

• 16.7

• 14.5

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CCSS.5.NBT.B.7

What is the result of 12 divided by 0.7193 in the context of the problem?

• 17.8

• 16.7

• 15.5

• 18.9

Tags

CCSS.HSG.SRT.C.7

What is the relationship between the sine of an angle and the cosine of its complementary angle?

• They are equal

• They are inverses

• They are unrelated

• They are complementary

Tags

CCSS.HSG.SRT.C.7

What is the cosine of the angle that complements 15 degrees?

• Cosine of 45 degrees

• Cosine of 75 degrees

• Cosine of 60 degrees

• Cosine of 30 degrees

Tags

CCSS.HSG.SRT.C.7

If the sine of 60 degrees is given, what is the cosine of its complementary angle?

• Cosine of 30 degrees

• Cosine of 90 degrees

• Cosine of 60 degrees

• Cosine of 45 degrees

Tags

CCSS.7.G.B.5

How do you find the complement of an angle?

• Add 90 degrees

• Subtract from 180 degrees

• Subtract from 90 degrees

• Add 180 degrees

Tags

CCSS.HSG.SRT.C.7

What is the sine of an angle equal to in terms of its complementary angle?

• Tangent of the complementary angle

• Cosine of the complementary angle

• Secant of the complementary angle

• Cosine of the same angle

Tags

CCSS.HSG.SRT.C.7