What is the general solution for cos(x)=0.707 ?

The general solution for cos(x)=0.707 is x=0.78554…+2pin,x=2pi-0.78554…+2pin

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cos(x)=0.707

cos (x) = 0.707

x = 0.78554 \dots + 2 πn, x = 2 π - 0.78554 \dots + 2 πn

Degrees

x = 45.00865 \dots^{\circ} + 36 0^{\circ} n, x = 314.99134 \dots^{\circ} + 36 0^{\circ} n

Solution steps

cos (x) = 0.707

Apply trig inverse properties

cos (x) = 0.707

General solutions for

cos (x) = 0.707

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

x = arccos (0.707) + 2 πn, x = 2 π - arccos (0.707) + 2 πn

x = arccos (0.707) + 2 πn, x = 2 π - arccos (0.707) + 2 πn

Show solutions in decimal form

x = 0.78554 \dots + 2 πn, x = 2 π - 0.78554 \dots + 2 πn

4 cos^{2} (x) - 4 cos (x) - 3 = 0

cot (x) = \frac{4}{3}

tan (θ) = - \frac{5}{2}

- 1 = cos (t) + cos (2 t)

15 cos (3 x) = 0

What is the general solution for cos(x)=0.707 ?
The general solution for cos(x)=0.707 is x=0.78554…+2pin,x=2pi-0.78554…+2pin