What is the general solution for 5sqrt(2)sin(θ)+4=-1 ?

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

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5sqrt(2)sin(θ)+4=-1

52 sin (θ) + 4 = - 1

θ = \frac{5 π}{4} + 2 πn, θ = \frac{7 π}{4} + 2 πn

Solution steps

52 sin (θ) + 4 = - 1

Move

4

to the right side

52 sin (θ) = - 5

Divide both sides by

52

sin (θ) = - \frac{2}{2}

General solutions for

sin (θ) = - \frac{2}{2}

θ = \frac{5 π}{4} + 2 πn, θ = \frac{7 π}{4} + 2 πn

7 sin^{2} (x) - 1 = 0

sec^{2} (x) = tan (x)

x, cos (x) = - \frac{1}{2}

x, θ = arctan (\frac{y}{x})

cos (x) tan (x) = 10 tan (x)

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