Trigonometric Functions and Identities

This video tutorial covers basic trigonometry concepts, including converting degrees to radians, understanding negative angles, finding coterminal angles, calculating arc lengths, and determining trigonometric ratios. It also explains how to calculate reference angles in different quadrants and find exact values of trigonometric functions using reference triangles and the unit circle.

How can you convert an angle of 60 degrees to radians?

• Subtract 2 pi

• Add 2 pi

• Multiply by 180/pi

• Multiply by pi/180

What is a coterminal angle to 30 degrees?

• 390 degrees

• 90 degrees

• 60 degrees

• 180 degrees

Tags

CCSS.HSG.C.B.5

Which formula is used to calculate the arc length of a circle?

• Arc length = angle in radians * radius

• Arc length = pi * radius

• Arc length = 2 * pi * radius

• Arc length = angle in degrees * radius

Tags

CCSS.HSG.SRT.C.6

What is the value of sine in a 3-4-5 right triangle?

• 3/5

• 4/5

• 5/3

• 5/4

Tags

CCSS.HSF.TF.C.8

If sine x is 5/7, what is cosine x in the second quadrant?

• 2√6/7

• -2√6/7

• 5/7

• -5/7

Tags

CCSS.HSF.TF.A.2

Which quadrant is characterized by having all trigonometric functions positive?

• Quadrant III

• Quadrant I

• Quadrant IV

• Quadrant II

Tags

CCSS.HSF.TF.C.9

What is the cofunction identity for sine?

• secant(90 - θ)

• tangent(90 - θ)

• cosine(90 - θ)

• cosecant(90 - θ)

How do you calculate the reference angle for an angle in the third quadrant?

• Subtract 360 from the angle

• Subtract the angle from 360

• Subtract the angle from 180

• Subtract 180 from the angle

Tags

CCSS.HSF.TF.A.2

What is the exact value of cosine 60 degrees?

• √3/2

• 1/2

• 0

• 1

What is the reference angle for 290 degrees?

• 50 degrees

• 70 degrees

• 60 degrees

• 80 degrees