Trigonometric Functions and Angles

The video tutorial explains how to use trigonometric functions to solve for unknown angles. It covers the basic trigonometric ratios: sine, cosine, and tangent, and provides a step-by-step guide on how to determine which function to use based on the given sides of a triangle. The tutorial includes a practice problem to find the measure of angle D using the cosine function, demonstrating both fractional and decimal methods for solving the problem.

What is the ratio for the sine function in a right triangle?

• Opposite over Adjacent

• Adjacent over Opposite

• Opposite over Hypotenuse

• Adjacent over Hypotenuse

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CCSS.HSG.SRT.C.6

Which trigonometric function should you use if you have the opposite and hypotenuse sides?

• Secant

• Sine

• Cosine

• Tangent

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CCSS.HSG.SRT.C.6

If you have the adjacent and hypotenuse sides, which trigonometric function is appropriate?

• Cosecant

• Sine

• Cosine

• Tangent

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CCSS.HSG.SRT.C.8

What is the first step in solving for an unknown angle using trigonometry?

• Convert to a decimal

• Choose a trigonometric function

• Identify the reference angle

• Calculate the hypotenuse

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CCSS.HSG.SRT.C.6

In the practice problem, which sides of the triangle were used to find angle D?

• Opposite and Hypotenuse

• Opposite and Adjacent

• Adjacent and Hypotenuse

• Adjacent and Opposite

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CCSS.HSG.SRT.C.6

What is the cosine of angle D in the practice problem?

• 40/28

• 28/40

• 45/28

• 28/45

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CCSS.HSG.SRT.C.8

How do you solve for an angle using the inverse trigonometric function?

• Use the regular trigonometric function

• Use the inverse button on the calculator

• Multiply by the hypotenuse

• Divide by the opposite side

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CCSS.4.MD.C.6

What is the rounded angle measure of D in the practice problem?

• 52°

• 53°

• 50°

• 51°

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CCSS.HSG.SRT.C.7

Which method can be used to convert a trigonometric ratio to a decimal?

• Subtract the denominator from the numerator

• Add the numerator and denominator

• Divide the numerator by the denominator

• Multiply the numerator by the denominator

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CCSS.HSG.SRT.C.8

What is the purpose of using the inverse trigonometric function?

• To find the length of a side

• To find the measure of an angle

• To determine the type of triangle

• To calculate the area of a triangle

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CCSS.HSG.SRT.C.8