Trigonometry Concepts and Applications

This video by Dennis Davis provides a foundational understanding of trigonometry, focusing on angles and the six trigonometric functions. It introduces the concept of using an imaginary triangle to define these functions and explains the mnemonic SOHCAHTOA for sine, cosine, and tangent. The video also covers reciprocal functions, the Cartesian plane, angle measurement in degrees and radians, the Pythagorean theorem, and the unit circle. Emphasizing understanding over memorization, it prepares viewers for further exploration of trigonometric functions.

What is the primary focus of trigonometry?

• Measurement of angles

• Measurement of triangles

• Measurement of circles

• Measurement of lines

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CCSS.HSG.SRT.C.6

Which mnemonic helps remember the basic trigonometric ratios?

• FOIL

• SOHCAHTOA

• PEMDAS

• BODMAS

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CCSS.HSF.TF.A.2

What is the reciprocal of the sine function?

• Cotangent

• Secant

• Cosine

• Cosecant

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CCSS.HSG.SRT.C.7

Which of the following is true about trigonometric functions?

• They are only used in geometry

• They are properties of triangles

• They are unitless

• They are always positive

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CCSS.6.NS.C.6B

In which quadrant are both x and y coordinates positive?

• Quadrant IV

• Quadrant III

• Quadrant II

• Quadrant I

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CCSS.4.MD.C.5B

CCSS.HSG.CO.A.1

How many radians are there in a full circle?

• 3π radians

• π radians

• 4π radians

• 2π radians

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CCSS.8.G.B.8

What is the Pythagorean theorem used for in trigonometry?

• Calculating angles

• Finding the area of a triangle

• Determining the circumference of a circle

• Relating the sides of a right triangle

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CCSS.HSF.TF.A.2

What is the radius of a unit circle?

• 1

• 2

• π

• 0

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CCSS.HSF.TF.A.2

In the unit circle, what does the x-coordinate represent?

• Sine of the angle

• Cosine of the angle

• Tangent of the angle

• Cosecant of the angle

Which angle corresponds to 3π/2 radians?

• 360 degrees

• 270 degrees

• 180 degrees

• 90 degrees