Understanding Trigonometric Functions and Angle Measures

The video tutorial explains how to find unknown angle measures in a triangle using trigonometric functions. It outlines steps to identify the sides of the triangle and choose the appropriate trigonometric function (sine, cosine) based on the given sides. The tutorial includes a practice problem where angle D is calculated using the cosine function, demonstrating both fractional and decimal methods to find the angle measure.

What is the first step in finding an unknown angle in a triangle?

• Calculate the sine value

• Find the unknown angle

• Choose a trigonometric function

• Identify the hypotenuse

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CCSS.HSG.SRT.C.6

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

• Secant

• Sine

• Cosine

• Tangent

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CCSS.HSG.SRT.C.6

What do you need to do after choosing the correct trigonometric function?

• Set up the problem

• Solve for the hypotenuse

• Calculate the tangent

• Find the adjacent side

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CCSS.HSG.SRT.C.6

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

• Adjacent and opposite

• Opposite and hypotenuse

• Adjacent and hypotenuse

• Opposite and adjacent

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CCSS.HSG.SRT.C.6

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

• 28 over 45

• 45 over 28

• 28 over 28

• 45 over 45

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CCSS.HSG.SRT.C.8

How do you solve for an angle using a trigonometric function?

• Add the opposite side

• Multiply by the hypotenuse

• Use the inverse function

• Subtract the adjacent side

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CCSS.8.NS.A.1

CCSS.7.NS.A.2D

What is the decimal equivalent of 28/45 in the practice problem?

• 0.622

• 0.556

• 0.711

• 0.678

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CCSS.4.MD.C.7

What is the final angle measure of D after solving the practice problem?

• 45°

• 48°

• 52°

• 60°

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CCSS.HSG.SRT.C.8

Which function key is used to solve for an angle in a calculator?

• Division key

• Multiplication key

• Addition key

• Inverse function key

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CCSS.HSG.SRT.C.8

What is the purpose of using the inverse trigonometric function in the practice problem?

• To identify the adjacent side

• To determine the angle measure

• To find the hypotenuse

• To calculate the sine value

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CCSS.HSG.SRT.C.8