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
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
2 answers
yup
3 answers