What is the general solution for cos(θ)= 6/8 ?

The general solution for cos(θ)= 6/8 is θ=0.72273…+2pin,θ=2pi-0.72273…+2pin

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cos(θ)= 6/8

cos (θ) = \frac{6}{8}

θ = 0.72273 \dots + 2 πn, θ = 2 π - 0.72273 \dots + 2 πn

Degrees

θ = 41.40962 \dots^{\circ} + 36 0^{\circ} n, θ = 318.59037 \dots^{\circ} + 36 0^{\circ} n

Solution steps

cos (θ) = \frac{6}{8}

Cancel the common factor:

2

cos (θ) = \frac{3}{4}

Apply trig inverse properties

cos (θ) = \frac{3}{4}

General solutions for

cos (θ) = \frac{3}{4}

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

θ = arccos (\frac{3}{4}) + 2 πn, θ = 2 π - arccos (\frac{3}{4}) + 2 πn

θ = arccos (\frac{3}{4}) + 2 πn, θ = 2 π - arccos (\frac{3}{4}) + 2 πn

Show solutions in decimal form

θ = 0.72273 \dots + 2 πn, θ = 2 π - 0.72273 \dots + 2 πn

x, 4 cos (x) \cdot sin (y) = 1

arctan (\frac{1}{4} x) - π - arctan (\frac{x}{100}) = - π

\frac{cot ( x ) + \frac{1}{c o t ( x )}}{cos ( x )} = sec (x)

sec (θ) = 2, (tan (θ) - sin (θ))^{2} + (1 - cos (θ))^{2}

(1 + csc (A)) (1 - csc (A)) = - cot (A)

What is the general solution for cos(θ)= 6/8 ?
The general solution for cos(θ)= 6/8 is θ=0.72273…+2pin,θ=2pi-0.72273…+2pin