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Math 113 Quiz 6 Name ______________________________ For #1-3, fill in the missing part of each Identity Equation. 1. Pythagorean identities: Complete the common identity by filling in the blanks. sin 2 cos2 ___________ tan 2 1 ____________ cot 2 1 ____________ 2. Quotient identities: Express each function in terms of a quotient involving sin and cos . tan ___________ cot ____________ 3. Reciprocal identities: Express each function in terms of its reciprocal function. sin ____________ cos ____________ tan ____________ csc ____________ sec ____________ cot ____________ 4. Write the radian measures using degrees. a) 4 ______ 3 b) 3 ______ 2 c) 7 _______ 12 5. Write the degree measures using radians. a) 150 ______ b) 90 ______ c) 435 _______ 6. Find the reference angle, , for each of the given angles. 2 , ______ 3 a) 150 , ______ b) d ) 85 , ______ e) 351 , ______ c) 7 , _______ 4 f) 23 , _______ 4 7. Find a co-function with the same value as the given expression. sin19 ___________ tan 3 ____________ 8 8. Complete the Triangle (find all three angles and all three side lengths). Round angles to nearest degree. Round side lengths to 2 decimals.) B c A A= a = 16m 23 C b B= C= a= b= c= 9. Find the unknown side in each right triangle. Then find the value of each trig function. B c=17 a θ C A b=15 Side length sin θ = cos θ = tan θ = sec θ = csc θ = cot θ = a = _______ 10. Use your calculator and a trigonometric function to find the missing side. Show your work. B i) B ii) 13 m a=? 23 yd 34⁰ A 44⁰ C A b=? C 11. A point on the terminal side of angle θ is P, (-3, 5). Find the exact value of each trig function of θ. sin t = cos t= tan t = csc t = cot t = sec t = 12. θ is an angle in standard position. Find the exact value of the remaining trig functions. tan sin θ= 5 , cos 0 12 cos θ = csc θ= cot θ= sec θ=