Originally Posted by
AlphaRock #1 Solve: sqrt(3)(cos(x)tan(x) + cos(x) = 0, where 0 <= x <= 2pi
My work:
cos(x)[sqrt(3)tan(x) + 1] = 0
cos(x) = 0
x = pi/2, 3pi/2
sqrt(3)tan(x) + 1 = 0
tan(x) = -1/(sqrt(3)) = opp/adj
x = 60
Answer:5pi/6, 11pi/6
#2 Solve: cos(2x) - 3sin(x) = 2, where -pi <= x <= pi
1 - (sin(x))^2 - 3sin(x) = 2
-1 - (sin(x))^2 - 3sin(x) = 0
Unsure how to continue...
Answer: 4pi/3, 5pi/3, 3pi/2
#3 Solve: 2cos(x) = 2^x
Work: Tried to graph it, but didn't really work out.
Answer: -1.38, 0 , 0.66