What is the general solution for 4sqrt(3)sec(θ)+7=-1 ?

The general solution for 4sqrt(3)sec(θ)+7=-1 is θ=(5pi)/6+2pin,θ=(7pi)/6+2pin

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4sqrt(3)sec(θ)+7=-1

43 sec (θ) + 7 = - 1

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

Solution steps

43 sec (θ) + 7 = - 1

Move

7

to the right side

43 sec (θ) = - 8

Divide both sides by

43

sec (θ) = - \frac{2 3}{3}

General solutions for

sec (θ) = - \frac{2 3}{3}

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

tan (θ) = m

4 sin^{3} (θ) = 3 sin (θ)

- 8 cos^{2} (θ) + 2 cos (θ) = - 1

cos (2 x) = 1 - 3 cos (x)

4 tan (3 x) = 4

What is the general solution for 4sqrt(3)sec(θ)+7=-1 ?
The general solution for 4sqrt(3)sec(θ)+7=-1 is θ=(5pi)/6+2pin,θ=(7pi)/6+2pin