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Trigonometry Test 13 Use the double angle identities to find sin, cos and tan of each. 1 - 2) Find t, given cos 2t = 1 with t in quadrant 3. 9 Use Cos 2t = 2 cos2 t – 1 Sin 2t = 2 Sin t Cos t 3 - 4) Find 2t, given cos t = 1 with t in quadrant 2. 4 Use the above equation. Use the 1 angle identities to find sin, cos and tan. 2 5 - 6) A = 67.5 Cos 1 Cos A A Sin = 2 2 1 Cos A A Tan = Sin A 2 1 Find each of the following. Use the angle identities. 2 7) sin A, given cos 2A = 1 Cos A A = 2 2 5 , A is in quadrant 2. 12 Are the following one-to-one? If yes, find the inverse function's equation. 8) 2x + 3y = 6 9) x + 5 = 3 y Determine if they are inverses of each other. Show your work. 10) f(x) = -2x + 1, g(x) = x 1 2 For each of the following give the value of y using the table. 11) y = Arcsin 2 2 11a) y = Arccot 3 3 12) y = Arcsin 1 12a) y = Arccsc (-2) Find the value of y. 12 ) 5 13) y = Cos(Arccot 3 14) y = Tan(Arcsin ) 5 Solve for x.Use the table to find all possible angles. ( 3 pts. each) 0 ≤ x < 360 15) 3 Tan x + 5 = 2 17) Cos2 x + 2 Cos x + 1 = 0 20) Find the area of this triangle. a = 22, b = 45, c = 29 18) 3 Sin2 x - Sin x - 2 = 0 (3 pts.) Area = 1 (a + b + c) 2 s(s a)(s b)(s c) s= Use the Law of Sines to find all missing sides and angles. ( 5 pts.) a b c Sin A Sin B Sin C 21 - 23) <B = 52 , <C = 29 , a = 4 Use the Law of Cosines and then the Law of Sines to find the sides and angles. (5 pts) 23a - 25) <A = 42.3 , b = 12.9, c = 15.4 a2= b2 + c2 – b• c• Cos A