SOLUTION: Solve the following equations given that: 0 &#8804; x < 2&#960; (a) {{{cos^2(x)-sin^2(x)=-1}}} (b) {{{1+sqrt(3)tan(2x)=0}}}

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Question 1105130: Solve the following equations given that: 0 ≤ x < 2π
(a) cos%5E2%28x%29-sin%5E2%28x%29=-1
(b) 1%2Bsqrt%283%29tan%282x%29=0
Answer by Alan3354(69443) About Me  (Show Source):
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Solve the following equations given that: 0 ≤ x < 2π
(a) cos%5E2%28x%29-sin%5E2%28x%29=-1
cos(2x) = -1
2x = pi, 3pi
x = pi/2, 3pi/2
=============================
(b) 1%2Bsqrt%283%29tan%282x%29=0
tan(2x) = -sqrt(3)/3
2x = 5pi/6, 11pi/6, 17pi/6, 23pi/6
x = 5pi/12, 11pi/12, 17pi/12, 23pi/12