What is the general solution for cos(θ)=0.513 ?

The general solution for cos(θ)=0.513 is θ=1.03212…+2pin,θ=2pi-1.03212…+2pin

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cos(θ)=0.513

cos (θ) = 0.513

θ = 1.03212 \dots + 2 πn, θ = 2 π - 1.03212 \dots + 2 πn

Degrees

θ = 59.13613 \dots^{\circ} + 36 0^{\circ} n, θ = 300.86386 \dots^{\circ} + 36 0^{\circ} n

Solution steps

cos (θ) = 0.513

Apply trig inverse properties

cos (θ) = 0.513

General solutions for

cos (θ) = 0.513

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

θ = arccos (0.513) + 2 πn, θ = 2 π - arccos (0.513) + 2 πn

θ = arccos (0.513) + 2 πn, θ = 2 π - arccos (0.513) + 2 πn

Show solutions in decimal form

θ = 1.03212 \dots + 2 πn, θ = 2 π - 1.03212 \dots + 2 πn

cot (x) = - \frac{24}{7}

sin (θ) = - \frac{2}{3}, 18 0^{\circ} < θ < 27 0^{\circ}

x, R f = e^{c o s (2 x)}

sin (2 θ) = \frac{12}{13}

sin^{2} (θ) + sin (θ) = 2

What is the general solution for cos(θ)=0.513 ?
The general solution for cos(θ)=0.513 is θ=1.03212…+2pin,θ=2pi-1.03212…+2pin