Finding Missing Angles in Right Triangles

This video tutorial explains how to find missing angles in right triangles using trigonometric ratios. It covers the use of sine and cosine functions, including their inverse functions, to calculate angles when given two sides of a triangle. The tutorial demonstrates the process with examples, showing how to input values into a calculator to find the angle measurements.

What is the hypotenuse in a right triangle?

• The side opposite the right angle

• The shortest side of the triangle

• The side adjacent to the right angle

• The side opposite the smallest angle

What trigonometric ratio is used to find a missing angle when you know the opposite side and the hypotenuse?

• Cosine

• Tangent

• Sine

• Cotangent

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CCSS.HSG.SRT.C.6

What is the role of the hypotenuse in trigonometric calculations for right triangles?

• It is irrelevant in trigonometric calculations.

• It determines the size of the right angle.

• It is always the longest side and used in sine and cosine ratios.

• It is used as the base for calculating angles.

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CCSS.HSG.SRT.C.6

How do you find the value of an angle using its sine value?

• Use the sine inverse function

• Add the sine value to 90 degrees

• Multiply the sine value by the hypotenuse

• Divide the opposite by the hypotenuse

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CCSS.HSG.SRT.C.8

What does the sine inverse function do?

• It finds the angle whose sine is a given number.

• It calculates the hypotenuse length.

• It multiplies the sine value by two.

• It divides the opposite side by the hypotenuse.

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CCSS.HSG.SRT.C.7

What is the approximate value of theta if sin(theta) = 7/10?

• 60 degrees

• 35 degrees

• 50 degrees

• 44.4 degrees

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CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

Which trigonometric ratio is used when you have the adjacent side and the hypotenuse?

• Cosine

• Sine

• Secant

• Tangent

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CCSS.HSG.SRT.C.6

What is the significance of the adjacent side in finding angles with cosine?

• It has no significance in trigonometric calculations.

• It is the side opposite the angle in question.

• It is used along with the hypotenuse to find the cosine of an angle.

• It is always the shortest side of the triangle.

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CCSS.HSG.SRT.C.6

How do you calculate the angle when given the cosine value?

• Use the cosine inverse function

• Multiply the cosine value by the adjacent side

• Divide the hypotenuse by the adjacent side

• Subtract the cosine value from 1

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CCSS.HSG.SRT.C.8

What is the approximate value of theta if cos(theta) = 35/57?

• 45 degrees

• 60 degrees

• 52.1 degrees

• 30 degrees