What is the general solution for 3cos(b)+sqrt(3)=0 ?

The general solution for 3cos(b)+sqrt(3)=0 is b=2.18627…+2pin,b=-2.18627…+2pin

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3cos(b)+sqrt(3)=0

3 cos (b) + 3 = 0

b = 2.18627 \dots + 2 πn, b = - 2.18627 \dots + 2 πn

Solution steps

3 cos (b) + 3 = 0

Move

3

to the right side

3 cos (b) = - 3

Divide both sides by

3

cos (b) = - \frac{3}{3}

Apply trig inverse properties

b = arccos (- \frac{3}{3}) + 2 πn, b = - arccos (- \frac{3}{3}) + 2 πn

Show solutions in decimal form

b = 2.18627 \dots + 2 πn, b = - 2.18627 \dots + 2 πn

csc (x) = \frac{21}{5}

3 cot (2 x) + 3 = 0

\frac{1}{cos ( θ )} = 2

θ, r = sin (2 θ)

cos (θ) = \frac{7}{25}, \frac{3 π}{2} < θ < 2 π

What is the general solution for 3cos(b)+sqrt(3)=0 ?
The general solution for 3cos(b)+sqrt(3)=0 is b=2.18627…+2pin,b=-2.18627…+2pin