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

The general solution for cos(x)=sqrt(1/2) is x=0.78539…+2pin,x=2pi-0.78539…+2pin

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cos(x)=sqrt(1/2)

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

x = 0.78539 \dots + 2 πn, x = 2 π - 0.78539 \dots + 2 πn

Degrees

x = 4 5^{\circ} + 36 0^{\circ} n, x = 31 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 = 2 π - arccos (a) + 2 πn

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

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

Show solutions in decimal form

x = 0.78539 \dots + 2 πn, x = 2 π - 0.78539 \dots + 2 πn

cos (x) = - 1, 0 \leq x \leq 2 π

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

sin (θ) cos (3 θ) + cos (θ) sin (3 θ) = 0

19 sin (x) + 9 = sin (x)

cos (x) = \frac{3}{7}

What is the general solution for cos(x)=sqrt(1/2) ?
The general solution for cos(x)=sqrt(1/2) is x=0.78539…+2pin,x=2pi-0.78539…+2pin