Quiz 3: The Reciprocal Functions and Identities

Find secθ. P(-20. 21)

- 29/20

Find cscθ. (3, -4)

- 5/4

tan²θ - sec²θ = _____

-1

sec180° tan270° sin360° csc90°

-1 undefined 0 1

Given that θ terminates in Quadrant II and sinθ = 12/13 , find secθ.

-13/5

Given that θ terminates in Quadrant III and tanθ = 5/12, find cscθ.

-13/5

Evaluate cot225°.

1

Angle θ is in standard position. The terminal side of the angle passes through the point (5/13, 12/13 ) on the unit circle.Find cscθ.

13/12 hint: If a point is on the unit circle, then the y-coordinate is the value of sine. The reciprocal of sine is cosecant.

Given that cosθ = -12/13 and θ is in the second quadrant, find cscθ.

13/5

Evaluate sec420°.

2

In which quadrant is θ located if cscθ is negative and tanθ is positive?

III hint: Cosecant is negative in Quadrants III and IV.Tangent is positive in Quadrants I and III.

60/11 -61/60 -60/61 11/60 -61/11

tanθ cscθ sinθ cotθ secθ

Evaluate cot180°.

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Evaluate csc(-315°).

√2

Find the exact value of the trigonometric expression. sec(30°)cos(60°)

√3/3