What is the general solution for cos(θ)= 3/(sqrt(35)) ?

The general solution for cos(θ)= 3/(sqrt(35)) is θ=1.03898…+2pin,θ=2pi-1.03898…+2pin

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cos(θ)= 3/(sqrt(35))

cos (θ) = \frac{3}{35}

θ = 1.03898 \dots + 2 πn, θ = 2 π - 1.03898 \dots + 2 πn

Radians

θ = 1.03898 \dots + 6.28318 \dots n, θ = 5.24419 \dots + 6.28318 \dots n

Solution steps

cos (θ) = \frac{3}{35}

Simplify

\frac{3}{35} : \frac{3 35}{35}

\frac{3}{35}

Multiply by the conjugate

\frac{35}{35}

= \frac{3 35}{35 35}

3535 = 35

3535

Apply radical rule:

a a = a

3535 = 35

= 35

= \frac{3 35}{35}

cos (θ) = \frac{3 35}{35}

Apply trig inverse properties

cos (θ) = \frac{3 35}{35}

General solutions for

cos (θ) = \frac{3 35}{35}

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

θ = arccos (\frac{3 35}{35}) + 2 πn, θ = 2 π - arccos (\frac{3 35}{35}) + 2 πn

θ = arccos (\frac{3 35}{35}) + 2 πn, θ = 2 π - arccos (\frac{3 35}{35}) + 2 πn

Show solutions in decimal form

θ = 1.03898 \dots + 2 πn, θ = 2 π - 1.03898 \dots + 2 πn

csc^{2} (θ) - 3 csc (θ) + 2 = 0

sin (3 x) = 2

4 \cdot cos (x) + 5 = 0

2 = (1 - cos (θ))

sin (120 \cdot π \cdot t) = 0.06141

What is the general solution for cos(θ)= 3/(sqrt(35)) ?
The general solution for cos(θ)= 3/(sqrt(35)) is θ=1.03898…+2pin,θ=2pi-1.03898…+2pin