50 POINTS!! Trigonometry. 1. Write the equation of the inverse function y=1/2 cos^-1 (pi x)-3
a) y=cos(2/pi x)+6
b) y=1/pi cos(2x+6)
c) y=pi cos(2x+6)
d) y=pi cos (2x-6)

2. Solve the inequality for 0 0
a) 0 b) 3pi/4 c) 0 d) 0
3. What basic trigonometric identity would you use to verify that sin x+1 /sin x =1+csc x
a) sin x = cos x tan x
b) cos^2 x+sin^2 x=1
c) cscx=1/sinx
d) 1+cot^2 x=csc^2 x

4. Use the following half-angle identity to find the exact value of tan165°.
tan α/2 =±sr (1-cosα / 1+cosα)
a) 2-sr 3
b) 2+sr 3
c) -sr( 7-4sr 3)
d) sr(7-4sr 3)

5. Write the standard form of the equation where p=π and Φ=7pi/12.
a) (sr 2-sr 6)x+(sr 2+sr 6)y-pi=0
b) (sr2-sr6)/4 x + (sr2+sr6)/4 y =0
c) (sr2-sr6)/4 x + (sr2+sr6)/4 y =-pi
d) (sr 2-sr 6)x+(sr 2+sr 6)y-4pi=0

6. When graphing a sine curve model using the equation y=sinbx, the period (or wavelength) will be represented by 2pi/b, so b=2pi/period.
Determine the equation for the sine curve that models the G# wave if the wavelength of G# = 0.828 meters.
a) y=sin(6.03x)
b) y=sin(0.828x)
c) y=sin(5.68x)
d) y=sin(7.59x)