EVALUATING TRIGONOMETRIC FUNCTIONS GIVEN A POINT WORKSHEET

The coordinates of a point P on the terminal arm of each angle are shown. Write the exact trigonometric ratios sin θ, cos θ, and tan θ for each.

Problem 1 :

terminalpointq1

Solution

Problem 2 :

terminalpointq2

Solution

Problem 3 :

terminalpointq3

Solution

Problem 4 :

terminalpointq4

Solution

Determine the exact of sin θ, cos θ, and tan θ if the terminal arm of an angle in standard position passes through the given point.

Problem 5 :

P (-5, 12)

Solution

Problem 6 :

P (5, -3)

Solution

Problem 7 :

P (6, 3)

Solution

Problem 8 :

P (-24, -10)

Solution

Answer Key

1)  sin θ = 4/5

cos θ = 3/5

tan θ = 4/3

2)  sin θ = -5/13

cos θ = -12/13

tan θ = 5/12

3)  sin θ = -15/17

cos θ = 8/17

tan θ = -15/8

4)  sin θ = -√2/2

cos θ = √2/2

tan θ = -1

5)  sin θ = 12/13

cos θ = -5/13

tan θ = -12/5

6)  sin θ = -3/√34

cos θ = 5/√34

tan θ = -3/5

7)  sin θ = 3√5

cos θ = 2/√5

tan θ = 1/2

8)  sin θ = -5/13

cos θ = -12/13

tan θ = 5/12

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