What is the general solution for cos(x)=-sqrt(1/2) ?

The general solution for cos(x)=-sqrt(1/2) is x=2.35619…+2pin,x=-2.35619…+2pin

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cos(x)=-sqrt(1/2)

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

x = 2.35619 \dots + 2 πn, x = - 2.35619 \dots + 2 πn

Degrees

x = 13 5^{\circ} + 36 0^{\circ} n, x = - 13 5^{\circ} + 36 0^{\circ} n

Solution steps

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

Apply trig inverse properties

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

General solutions for

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

cos (x) = - a \Rightarrow x = arccos (- a) + 2 πn, x = - arccos (- a) + 2 πn

x = arccos (- \frac{1}{2}) + 2 πn, x = - arccos (- \frac{1}{2}) + 2 πn

x = arccos (- \frac{1}{2}) + 2 πn, x = - arccos (- \frac{1}{2}) + 2 πn

Show solutions in decimal form

x = 2.35619 \dots + 2 πn, x = - 2.35619 \dots + 2 πn

\frac{30}{sin ( 8 )} = \frac{120}{sin ( x )}

tan (x) + cot (x) - 2 = 0

4 sin (A) - csc (A) = 0

6 cos (θ) = - 6 (1 + cos (θ))

2 cos (x) sin (x) = 0

What is the general solution for cos(x)=-sqrt(1/2) ?
The general solution for cos(x)=-sqrt(1/2) is x=2.35619…+2pin,x=-2.35619…+2pin