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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. ______