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Popular >

sqrt(3)sec(2θ)+2=0

Solution

3 sec (2 θ) + 2 = 0

Solution

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

+1

Solution steps

3 sec (2 θ) + 2 = 0

Move

2

to the right side

3 sec (2 θ) = - 2

Divide both sides by

3

sec (2 θ) = - \frac{2 3}{3}

General solutions for

sec (2 θ) = - \frac{2 3}{3}

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

4sin^2(x)+1=-4sin(x)

4 sin^{2} (x) + 1 = - 4 sin (x)

cos (3 x + 6 0^{\circ}) = 0

2sin^2(x)+(-2-sqrt(2))sin(x)+sqrt(2)=0

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

3-sqrt(3)tan(2x)=4-2sqrt(3)tan(2x)

3 - 3 tan (2 x) = 4 - 23 tan (2 x)

cos(θ)= 3/(sqrt(34))

cos (θ) = \frac{3}{34}

Frequently Asked Questions (FAQ)

What is the general solution for sqrt(3)sec(2θ)+2=0 ?
The general solution for sqrt(3)sec(2θ)+2=0 is θ=(5pi)/(12)+pin,θ=(7pi)/(12)+pin