Finding Missing Angles with Trig Ratios

The video tutorial explains how to find angles in triangles using inverse trigonometric functions. It covers the use of sine, cosine, and tangent inverses to solve for unknown angles, providing step-by-step instructions and examples. The tutorial emphasizes the importance of setting up the correct trigonometric ratio and using a calculator to find the angle. It also highlights the need to round the results to the nearest degree and includes practical examples to reinforce the concepts.

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

• Sine

• Cosine

• Tangent

• Cotangent

Tags

CCSS.HSG.SRT.C.6

What operation is performed to solve for an angle when using trigonometric ratios?

• Multiplication

• Inverse function

• Subtraction

• Addition

Tags

CCSS.HSG.SRT.C.8

What tool is recommended for calculating the inverse trigonometric functions?

• A scientific calculator

• A slide rule

• A graphing calculator

• Desmos online calculator

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CCSS.HSF.TF.B.7

What is the purpose of using inverse trigonometric functions in trigonometry?

• To calculate the area of a triangle

• To find the length of sides in a triangle

• To compute the perimeter of a triangle

• To determine the angles of a triangle

Tags

CCSS.HSG.SRT.C.8

What is the result of using the sine inverse function on a ratio of 51/55?

• 45 degrees

• 51 degrees

• 55 degrees

• 68 degrees

Tags

CCSS.HSG.SRT.C.8

What is the significance of rounding the result to the nearest degree in trigonometry?

• All of the above

• To match real-world measurements

• To simplify the calculation

• To ensure accuracy

Tags

CCSS.HSG.SRT.C.8

Which function is used when the opposite and adjacent sides of a triangle are known?

• Tangent

• Sine

• Secant

• Cosine

Tags

CCSS.HSG.SRT.C.6

For which angle measurement is the tangent inverse of 27/38 used?

• 45 degrees

• 27 degrees

• 38 degrees

• 35 degrees

Tags

CCSS.HSG.SRT.C.8

What is the correct angle found using the cosine inverse of 52/56?

• 22 degrees

• 52 degrees

• 56 degrees

• 30 degrees

Tags

CCSS.HSG.SRT.C.8

Which inverse function is used to find an angle when the adjacent and hypotenuse sides are known?

• Sine inverse

• Tangent inverse

• Cotangent inverse

• Cosine inverse

Tags

CCSS.HSG.SRT.C.8