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Trigonometry Test 10 Graph. ( 4 pts. for 1 and 3 pts. each) 1) y = 1 – sin 2 ( x + ) 4 3) y = 3 + sec 3 x 4 5) y = –2 – 3 cot 5x Name the amplitude, the period, the vertical translation and the phase shift. 6 - 7) y = -3 - 4 Sin ( 3x – 2 ) 3 amp = per.= ver. tran = ps = Use the trig. pythagorean identities to find the other five functions of x given the following. (4 pts.) 8 - 9) Cos x = 5 , quadrant 4 13 , Use the identities to get an equivalent expression involving only sin and cos and simplify. Sec 2 x 10) Sec x + Tan x 11) Tan 2 x Csc 2 x Perform the indicated operation and simplify the result. 12) 1 1 1 Cos x 1 Cos x Show the following to be true. 13) Sin 2 x Sin x Csc x Cos 2 x 14) 16) Sin 2 x Sec x Cos x Cos x 15) Cos2 x( Tan2 x + 1 ) = 1 Csc x Secx Sec 2 x Cot x Factor. 17) 2 Tan2x + 9 Tan x – 18 Write in terms of the cofunction. 19) Tan 78 32' 20) Sin 5π 8 18) 3 Sec2x – 14 Sec x + 15 Use the cofunction identities to find the angle x. 21) Cot (3x – 10) = Tan (2x + 15) True or false. (Use the sum and difference identities to determine) 22) Cos 35 Cos 55 - Sin 35 Sin 55 = Cos 90 22a) Cos Cos Sin = Cos – Sin 12 4 12 3 4 Use the sum or difference identity and the table to find the value of the following. 23) Cos 255 25) Cos 65 Cos 55 - Sin 65 Sin 55 24) Cos (-15) 25a) Cos 190 Cos 40 + Sin 190 Sin 40