# Download Exercises 4 1. The point is on the terminal side of an angle in

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Transcript
```Exercises 4
1. The point is on the terminal side of an angle in standard position. Determine the exact values of the
six trigonometric functions of the angle.
(a) (8, 15)
(b) (−4.10)
(c) (3 12 , −7 34 )
2. find the values of the six trigonometric functions of θ with the given constraint.
(a) cos θ =
(b) cos θ =
8
17 , tan θ < 0
− 45 , θ lie in the
(c) csc θ = 4, θ < 0
(d) cot θ is undifined
π
2
<θ<
3π
2
3. the terminal side of θ lies on the given line in the specified quadrant. Find the values of the six
trigonometric functions of θ by finding a point on the line.
(a) y =
x
3
(b) 4x + 3y = 0 in Quadrant IV
4. evaluate the sine, cosine, and tangent of the angle without using a calculator.
(a) 300◦
(b) −406◦
(c)
(d)
10π
3
−23π
4
5. find two solutions of the equation. Give your answers in degrees (0◦ ≤ θ < 360◦ ) and in radians
(0 ≤ θ < 2π)
(a) csc θ =
√
2 3
3
(b) sec θ = −2
√
(c) sin θ = −
3
2
6. To find the reference angle for an angle θ (given in degrees), find the integer n such that 0 ≤ 360◦ n−θ ≤
360◦ The difference 360◦ n − θ is the reference angle. Determine whether the statement is true or false.