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

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

cos(θ)=0.707

cos (θ) = 0.707

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

Degrees

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

Solution steps

cos (θ) = 0.707

Apply trig inverse properties

cos (θ) = 0.707

General solutions for

cos (θ) = 0.707

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

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

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

Show solutions in decimal form

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

sin (x) + sin^{2} (x) + sin^{3} (x) + sin^{4} (x) = 0

sin (9 x) - cos (x) = 0

cos (x) + 2 cos^{2} (x) = 1

t, 0.08 = 0.1 cos (4 t)

cos (18 0^{\circ} - x) = sin (- 30 0^{\circ})

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