What is the general solution for cos(θ)= 5/8 ?

The general solution for cos(θ)= 5/8 is θ=0.89566…+2pin,θ=2pi-0.89566…+2pin

Popular >

cos(θ)= 5/8

cos (θ) = \frac{5}{8}

θ = 0.89566 \dots + 2 πn, θ = 2 π - 0.89566 \dots + 2 πn

Degrees

θ = 51.31781 \dots^{\circ} + 36 0^{\circ} n, θ = 308.68218 \dots^{\circ} + 36 0^{\circ} n

Solution steps

cos (θ) = \frac{5}{8}

Apply trig inverse properties

cos (θ) = \frac{5}{8}

General solutions for

cos (θ) = \frac{5}{8}

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

θ = arccos (\frac{5}{8}) + 2 πn, θ = 2 π - arccos (\frac{5}{8}) + 2 πn

θ = arccos (\frac{5}{8}) + 2 πn, θ = 2 π - arccos (\frac{5}{8}) + 2 πn

Show solutions in decimal form

θ = 0.89566 \dots + 2 πn, θ = 2 π - 0.89566 \dots + 2 πn

6 (1 - cos (θ)) = sin^{2} (θ), 0 \leq θ \leq 2 π

cot (θ) + 3 = 0, 0 \leq θ \leq 2 π

2 cos (θ) - 2 = 0, 0 \leq θ \leq 2 π

5 cos^{2} (x) + 14 sin (x) cos (x) = 3 sin^{2} (x)

4 cos^{2} (x) + 4 sin^{2} (x) - 5 = 0

What is the general solution for cos(θ)= 5/8 ?
The general solution for cos(θ)= 5/8 is θ=0.89566…+2pin,θ=2pi-0.89566…+2pin