Question

keep in mind answers should be pi radians or if necessary 3 dec.

csc^2-2=0
all angles

4cos^2x-4cosx+1=0
all angles and name 8 angles

7sin^2x-22sinx+3=0
all angles and name 8 angles

2cos^2x-7cosx=-3
all angles

sinx(2sinx+1)=0
all angles

Answer 1

1. csc^2 x = 2
sin^2 x = 1/2
sin x = ±1/√2
x = π/4, 3π/4 , 5π/4 , 7π/4

2. 4cos^2x - 4cosx + 1 = 0
(2cos x - 1)^2 = 0
(2cosx - 1)= 0
cosx = 1/2
x = π/3 or x = 5π/3

3.
7sin^2 x - 22sinx + 3 = 0
(7sinx - 1)(sinx - 3) = 0
sinx = 1/7 or sinx = 3 , which is not possible

for sinx = 1/7
make sure calculator is set to radians
x = .1433 (in I) or x = π - .1433 = 2.998 ( in II)

do the rest the same way

Answer 2

yup