# 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 :

Problem 2 :

Solution

Problem 3 :

Solution

Problem 4 :

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

 1)  sin θ = 4/5cos θ = 3/5tan θ = 4/3 2)  sin θ = -5/13cos θ = -12/13tan θ = 5/12 3)  sin θ = -15/17cos θ = 8/17tan θ = -15/8 4)  sin θ = -√2/2cos θ = √2/2tan θ = -1 5)  sin θ = 12/13cos θ = -5/13tan θ = -12/5 6)  sin θ = -3/√34cos θ = 5/√34tan θ = -3/5 7)  sin θ = 3√5cos θ = 2/√5tan θ = 1/2 8)  sin θ = -5/13cos θ = -12/13tan θ = 5/12

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