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Popular >

2sqrt(3)cos(2θ)=-3

Solution

23 cos (2 θ) = - 3

Solution

θ = \frac{5 π}{12} + πn, θ = \frac{7 π}{12} + πn

+1

Solution steps

23 cos (2 θ) = - 3

Divide both sides by

23

cos (2 θ) = - \frac{3}{2}

General solutions for

cos (2 θ) = - \frac{3}{2}

2 θ = \frac{5 π}{6} + 2 πn, 2 θ = \frac{7 π}{6} + 2 πn

Solve

2 θ = \frac{5 π}{6} + 2 πn : θ = \frac{5 π}{12} + πn

Solve

2 θ = \frac{7 π}{6} + 2 πn : θ = \frac{7 π}{12} + πn

θ = \frac{5 π}{12} + πn, θ = \frac{7 π}{12} + πn

Popular Examples

tan(a)=(-1/4),sec(a)

tan (a) = (- \frac{1}{4}), sec (a)

2 sin^{2} (x) + 1 = 0

sin(x+pi/4)-sin(x-pi/4)=0

sin (x + \frac{π}{4}) - sin (x - \frac{π}{4}) = 0

4tan(x)-tan^2(x)=1

4 tan (x) - tan^{2} (x) = 1

solvefor x,arcsin(y)=arcsin(x)+((pi))/4 solve for

x, arcsin (y) = arcsin (x) + \frac{( π )}{4}

Frequently Asked Questions (FAQ)

What is the general solution for 2sqrt(3)cos(2θ)=-3 ?
The general solution for 2sqrt(3)cos(2θ)=-3 is θ=(5pi)/(12)+pin,θ=(7pi)/(12)+pin