Trigonometric Functions and Inverses

This video tutorial covers trigonometry concepts, including using trigonometric tables for exact values, calculator approximations, and inverse trigonometric functions. It provides step-by-step instructions on finding exact values and approximations for various trigonometric functions, such as cosine, cosecant, and tangent. The tutorial also explores advanced trigonometric calculations and problem-solving techniques, concluding with a review of key concepts.

What is the exact value of cosine at 150 degrees?

• -1/2

• 1/2

• -√3/2

• √2/2

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CCSS.HSF.TF.A.2

Which quadrant is cosine positive in?

• Third and fourth

• First and fourth

• Second and third

• First and second

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CCSS.HSF.TF.A.2

How do you find the approximate value of cosecant using a calculator?

• Use the cosecant button directly

• Calculate 1 over sine of the angle

• Use the tangent button

• Calculate 1 over cosine of the angle

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CCSS.HSF.TF.A.2

What is the approximate value of cotangent of 5π/6?

• 0.87

• -0.87

• -1.73

• 1.15

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CCSS.HSF.TF.B.7

If the cosine of an angle is 1/2, what are the possible angles?

• 30 and 330 degrees

• 60 and 300 degrees

• 45 and 315 degrees

• 90 and 270 degrees

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CCSS.HSF.TF.B.7

How do you find the angle if the tangent is negative √3?

• Use the inverse sine function

• Use the inverse cotangent function

• Use the inverse cosine function

• Use the inverse tangent function

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CCSS.HSF.TF.B.7

What is the inverse function of cosine used for?

• Determining the angle from a cosine ratio

• Finding the sine of an angle

• Calculating the tangent of an angle

• Finding the cosecant of an angle

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CCSS.HSF.TF.B.7

What is the purpose of using inverse trigonometric functions?

• To find the length of a side in a triangle

• To calculate the area of a circle

• To determine the angle from a given trigonometric ratio

• To find the hypotenuse of a triangle

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CCSS.HSF.TF.B.7

What is the result of inverse sine of 1.2?

• An undefined value

• A domain error

• A valid angle

• A negative angle

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CCSS.HSF.TF.B.7

What should you do if you encounter a domain error with inverse sine?

• Check if the ratio is greater than 1 or less than -1

• Use a different calculator

• Switch to radians

• Ignore the error

Tags

CCSS.HSF.TF.B.7