What is the general solution for -15+4cos(x)=-15-2sqrt(2) ?

The general solution for -15+4cos(x)=-15-2sqrt(2) is x=(3pi)/4+2pin,x=(5pi)/4+2pin

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-15+4cos(x)=-15-2sqrt(2)

- 15 + 4 cos (x) = - 15 - 22

x = \frac{3 π}{4} + 2 πn, x = \frac{5 π}{4} + 2 πn

Solution steps

- 15 + 4 cos (x) = - 15 - 22

Add

15

to both sides

- 15 + 4 cos (x) + 15 = - 15 - 22 + 15

Simplify

4 cos (x) = - 22

Divide both sides by

4

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

General solutions for

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

x = \frac{3 π}{4} + 2 πn, x = \frac{5 π}{4} + 2 πn

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

2 sin (θ) = 2, 0 \leq θ < 2 π

2 cos^{2} (t) - 3 cos (t) = - 1

cos (t) - cos (2 t) = - 0.75

2 cos (A) = - 3

What is the general solution for -15+4cos(x)=-15-2sqrt(2) ?
The general solution for -15+4cos(x)=-15-2sqrt(2) is x=(3pi)/4+2pin,x=(5pi)/4+2pin