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Math 240-Trigonometry 2/29/2016 Name: __________________ Exam I MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the questions. 1. (10 points) For an angle measuring 140 10′, find the measure of (a) its complement and (b) its supplements. a) 75𝑜 50′ , 1650 40′ b) 70𝑜 40′ , 1650 50′ c) 75𝑜 50′ , 1650 50′ d) None of the above 2. (10 points) Find the measure of the smaller angle formed by the hands of a clock at 6:10 AM. a) 1150 b) 1250 c) 1200 15′ d) No solution 3. (10 points) Find h. a) b) c) d) 101 120 110 None of the above 4. (10 points) Find the measure of marked angles. a) b) c) d) 750 , 1200 650 , 1200 750 , 1100 None of the above 1 Math 240-Trigonometry 2/29/2016 5. (10 points) Find the exact value of 𝑡𝑎𝑛3600 + 2𝑠𝑖𝑛2700 + 4𝑐𝑜𝑠 2 2100 a) -1 b) 1 c) 2 d) No solution 6. (10 points) Fill in the blank. a) 1 + 𝑡𝑎𝑛2 𝜃 = ______________ b) 𝑠𝑖𝑛2 𝜃 + _____________ = 1 c) 𝑠𝑖𝑛𝜃 𝑐𝑜𝑠𝜃 = ___________________ d) Cosine and secant are positive in Quadrant#__________ e) If 𝑥 = −8 and 𝑦 = 6, then 𝑟 =______________ 7. (10 points) Determine whether each statement is true or false. a) 1 𝑠𝑖𝑛𝜃 = 𝑠𝑖𝑛−1 𝜃 ___________? b) 𝑠𝑖𝑛560 = 𝑐𝑜𝑠340 _________? (Hint: use a calculator) c) 𝑠𝑖𝑛(600 + 300 ) = 𝑠𝑖𝑛(600 ) + 𝑠𝑖𝑛(300 )__________? d) tan(−3000 ) = −√3 _______? 1 2 e) If 𝑠𝑖𝑛𝜃 0 = − , then 𝜃 = 3300_______? SHOW YOUR WORK 8. (10 points) In a right triangle 𝐵 = 300 and side 𝑐 = 10. Find the remaining angle and sides of the triangle, that is, solve the triangle. 2 Math 240-Trigonometry 2/29/2016 9. (10 points) Find all values of 𝜃, if 𝜃 is in the interval [0, 3600 ) and 𝑐𝑜𝑠𝜃 = − √3 . 2 10. (10 points) Find the six trigonometric function values of the angle in standard position, if the terminal side of is defined by −√3𝑥 + 𝑦 = 0, 𝑥 ≤ 0. 3 Math 240-Trigonometry 2/29/2016 11. (10 points) Extra Credit 4