ALL ANSWERS MUST BE ACCOMPANIED BY SUPPORTING WORK OR EXPLANATION. WITHOUT IT, FULL CREDIT CANNOT BE GIVEN! I MEAN IT! 1) Starting with the Pythagorean Identity (sin x)^2+(cos x)^2=1, prove that 1+ (tan x)^2=(sec x)^2 2) Use reference angles to find the exact values of the sine, cosine, and tangent of 210 degrees 3) Given y= -4sin(2x+5)-7 find the amplitude, period, phase shift and vertical shift. 4) Find the period and the two vertical asymptotes closest to the origin of y=tan(2x-1). 5) Find the exact value of the expression in terms of x: sin (arccos(1-x)) (arccos means inverse cosine) 6) Solve 2cos x=1 7) Solve: tan x -2sin x tan x=0 8) Solve: cos (2x)= -3^(1/2)/2