Download find the remaining trigonometric functions.

Name: _________________________________
Intermediate Algebra
Date: ____
Spiral #24
Show work to receive any credit. Please place your final answer in the
provided answer column.
1.
Express in simplest form:
2.
Express in simplest form:
3.
1. _______
𝑥 𝑦
−
𝑦 𝑥
1 1
+
𝑦 𝑥
𝑎2 −9
𝑎2 −3𝑎
∙
2. _______
𝑎2 +𝑎
𝑎+3
a. Sketch 200°
b. Name a positive and a negative co-terminal angle:
Positive: ______
Negative: _______
c. Name the reference angle: _______
d. Express cos 200° as a cosine function of a positive acute angle: ________
Express sin 200° as a sine function of a positive acute angle: _________
Express tan 200° as a tangent function of a positive acute angle: ______
4.
If sin (2x + 30)° = cos (3x + 10), what is the value of x?
4. _______
5.
If cos 𝜃 < 0 and sin 𝜃 < 0, in which quadrant does 𝜃
terminate?
5. _______
6.
3
If tan 𝜃 = , find the remaining trigonometric functions.
4
sin 𝜃 = _____
csc 𝜃 = _____
cos 𝜃 = _____
sec 𝜃 = _____
tan 𝜃 = _____
cot 𝜃 = _____
7.
Solve for 𝜃, to the nearest tenth: 7 sin 𝜃 − 3 = 1
7. _______
8.
Solve for all values of x in the interval 0° ≤ 𝑥 ≤ 360°:
8. _______
6 cos2 x + 9 cos x+ 3 = 0
9.
In ∆ABC, a = 6, b = 4, and c = 9. The value of cos C is
9. _______
Law of Cosines: 𝑎2 = 𝑏 2 + 𝑐 2 − 2𝑏𝑐 cos 𝐴
a)
61
72
29
b) − 48
c)
2
3
10. Convert 225° to radian measure.
d)
4
9
10. ______