What is the general solution for cos(θ)=0.5632 ?

The general solution for cos(θ)=0.5632 is θ=0.97254…+2pin,θ=2pi-0.97254…+2pin

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cos(θ)=0.5632

cos (θ) = 0.5632

θ = 0.97254 \dots + 2 πn, θ = 2 π - 0.97254 \dots + 2 πn

Degrees

θ = 55.72261 \dots^{\circ} + 36 0^{\circ} n, θ = 304.27738 \dots^{\circ} + 36 0^{\circ} n

Solution steps

cos (θ) = 0.5632

Apply trig inverse properties

cos (θ) = 0.5632

General solutions for

cos (θ) = 0.5632

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

θ = arccos (0.5632) + 2 πn, θ = 2 π - arccos (0.5632) + 2 πn

θ = arccos (0.5632) + 2 πn, θ = 2 π - arccos (0.5632) + 2 πn

Show solutions in decimal form

θ = 0.97254 \dots + 2 πn, θ = 2 π - 0.97254 \dots + 2 πn

sin (z) = - 10

\frac{sec ^{2} ( A ) + cot ^{2} ( A )}{csc ^{2} ( A )} = sec^{2} (A)

cos^{3} (x) = - 1

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

tan (b) = \frac{5}{12}

What is the general solution for cos(θ)=0.5632 ?
The general solution for cos(θ)=0.5632 is θ=0.97254…+2pin,θ=2pi-0.97254…+2pin