What is the general solution for cos(θ)= 43/90 ?

The general solution for cos(θ)= 43/90 is θ=1.07267…+2pin,θ=2pi-1.07267…+2pin

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cos(θ)= 43/90

cos (θ) = \frac{43}{90}

θ = 1.07267 \dots + 2 πn, θ = 2 π - 1.07267 \dots + 2 πn

Degrees

θ = 61.45963 \dots^{\circ} + 36 0^{\circ} n, θ = 298.54036 \dots^{\circ} + 36 0^{\circ} n

Solution steps

cos (θ) = \frac{43}{90}

Apply trig inverse properties

cos (θ) = \frac{43}{90}

General solutions for

cos (θ) = \frac{43}{90}

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

θ = arccos (\frac{43}{90}) + 2 πn, θ = 2 π - arccos (\frac{43}{90}) + 2 πn

θ = arccos (\frac{43}{90}) + 2 πn, θ = 2 π - arccos (\frac{43}{90}) + 2 πn

Show solutions in decimal form

θ = 1.07267 \dots + 2 πn, θ = 2 π - 1.07267 \dots + 2 πn

8 cos (2 x - 5) = 3

\frac{116}{sin ( 9 0 ^{\circ} )} = \frac{4}{sin ( x )}

\frac{3}{cos ^{2} ( x )} = \frac{7 + 4}{cot ( x )}

sin (x) = 0.01

sin (x) - sin (2 x) = sin^{3} (x)

What is the general solution for cos(θ)= 43/90 ?
The general solution for cos(θ)= 43/90 is θ=1.07267…+2pin,θ=2pi-1.07267…+2pin