What is the general solution for 2asin(x)+a=0 ?

The general solution for 2asin(x)+a=0 is x=(7pi)/6+2pin,x=(11pi)/6+2pin

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2asin(x)+a=0

2 a sin (x) + a = 0

x = \frac{7 π}{6} + 2 πn, x = \frac{11 π}{6} + 2 πn

Solution steps

2 a sin (x) + a = 0

Move

a

to the right side

2 a sin (x) = - a

Divide both sides by

2 a; a \neq = 0

sin (x) = - \frac{1}{2}; a \neq = 0

General solutions for

sin (x) = - \frac{1}{2}

x = \frac{7 π}{6} + 2 πn, x = \frac{11 π}{6} + 2 πn

tan (θ) = (\frac{2}{3})

tan (θ) = 8.1443

4 sin (x) = 5 cos (x)

tan (θ) = \frac{26}{41}

cot (θ) + 2 csc (θ) = 4, 0^{\circ} \leq θ \leq 36 0^{\circ}

What is the general solution for 2asin(x)+a=0 ?
The general solution for 2asin(x)+a=0 is x=(7pi)/6+2pin,x=(11pi)/6+2pin