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

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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

\frac{1}{( 1 + tan ^{2} ( o ) + 1 )} + \frac{1}{( 1 + cot ^{2} ( o ) )} = 1

9 (2 sin^{2} (x) - 1) = 0

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

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