What is the general solution for cos(θ)= 3/4 ?

The general solution for cos(θ)= 3/4 is θ=0.72273…+2pin,θ=2pi-0.72273…+2pin

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cos(θ)= 3/4

cos (θ) = \frac{3}{4}

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{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

sin (x) - 3 cos (x) = 0

cot (θ) = - 3

4 sin^{2} (x) - 2 = 0

sin (θ) = sin (2 θ)

tan (2 x) - 2 cos (x) = 0

What is the general solution for cos(θ)= 3/4 ?
The general solution for cos(θ)= 3/4 is θ=0.72273…+2pin,θ=2pi-0.72273…+2pin