Finding Trig Functions in Standard Position

What are the coordinates at 45° on the unit circle?

What are the coordinates at 60° on the unit circle?

Which Quadrants do you look for your angle in when finding the value of Inverse Tangent?

• Quadrant 1 and 2

• Quadrant 1 and 4

  (Look for positive angles in both quadrants)

• Quadrant 2 and 3

• Quadrant 1 and 4 (Make sure when you look in Quad 4 your answer is a negative angle)

Standard position is when .....

• the initial side of the angle is on the positive x-axis.

• the initial side of the angle is on the negative x-axis.

• the initial side of the angle is on the positive y-axis.

• the initial side of the angle is on the negative y-axis.

The terminal side of θ in standard position contains the point (-4,3). Which of the following is true?

• sin θ = 3/5

• cos θ = 3/5

• tan θ = 3/5

• cot θ = 4/3

Use the given point on the terminal side of an angle θ in standard position to find the exact values of six trigonometric ratios (-14, -48)

• tan x

• cos x

• sin x

• csc x

• sec x

Let (-4, 3) be a point on the terminal side of θ.  Which of the following is FALSE?

• cos θ = -4/5

• tan θ = -3/4

• sin θ = 3/5

• cos θ = 4/5

Let (-4, 3) be a point on the terminal side of θ. What is tan θ?

• -4/5

• -3/4

• 3/5

• 4/5

If the point (5, -2) is on the terminal side of an angle in standard form, find the exact trig value for the secant of the angle.

Mathematical Equivalence

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