What is the general solution for 3/8 =cos(θ) ?

The general solution for 3/8 =cos(θ) is θ=1.18639…+2pin,θ=2pi-1.18639…+2pin

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3/8 =cos(θ)

\frac{3}{8} = cos (θ)

θ = 1.18639 \dots + 2 πn, θ = 2 π - 1.18639 \dots + 2 πn

Degrees

θ = 67.97568 \dots^{\circ} + 36 0^{\circ} n, θ = 292.02431 \dots^{\circ} + 36 0^{\circ} n

Solution steps

\frac{3}{8} = cos (θ)

Switch sides

cos (θ) = \frac{3}{8}

Apply trig inverse properties

cos (θ) = \frac{3}{8}

General solutions for

cos (θ) = \frac{3}{8}

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

θ = arccos (\frac{3}{8}) + 2 πn, θ = 2 π - arccos (\frac{3}{8}) + 2 πn

θ = arccos (\frac{3}{8}) + 2 πn, θ = 2 π - arccos (\frac{3}{8}) + 2 πn

Show solutions in decimal form

θ = 1.18639 \dots + 2 πn, θ = 2 π - 1.18639 \dots + 2 πn

cos (θ) = 0.75

cos (χ) = 32

x, tan^{3} (x) = f

4.5 8^{2} = 3. 3^{2} + 3. 3^{2} - 2 (3.3) (3.3) cos (x)

y, 3 tan (y) - 4 = \frac{2}{5}

What is the general solution for 3/8 =cos(θ) ?
The general solution for 3/8 =cos(θ) is θ=1.18639…+2pin,θ=2pi-1.18639…+2pin