What is the general solution for cos(θ)=(-2)/((sqrt(30)+(7))) ?

The general solution for cos(θ)=(-2)/((sqrt(30)+(7))) is θ=1.73178…+2pin,θ=-1.73178…+2pin

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cos(θ)=(-2)/((sqrt(30)+(7)))

cos (θ) = \frac{- 2}{( 30 + ( 7 ) )}

θ = 1.73178 \dots + 2 πn, θ = - 1.73178 \dots + 2 πn

Solution steps

cos (θ) = \frac{- 2}{( 30 + ( 7 ) )}

Simplify

\frac{- 2}{30 + 7} : \frac{2 ( 30 - 7 )}{19}

Apply trig inverse properties

θ = arccos (\frac{2 ( 30 - 7 )}{19}) + 2 πn, θ = - arccos (\frac{2 ( 30 - 7 )}{19}) + 2 πn

Show solutions in decimal form

θ = 1.73178 \dots + 2 πn, θ = - 1.73178 \dots + 2 πn

cos^{3} (x) - 2 sin (x) - 0.7 = 0

cos^{2} (x) - sin^{2} (x) = sec^{2} (x) - csc^{2} (x)

2 - 3 sin (x) = 0

y = cos (x), x

\frac{cos ( θ )}{sin ( θ )} = 0

What is the general solution for cos(θ)=(-2)/((sqrt(30)+(7))) ?
The general solution for cos(θ)=(-2)/((sqrt(30)+(7))) is θ=1.73178…+2pin,θ=-1.73178…+2pin