What is the general solution for cos(θ)=(sqrt(65))/(65) ?

The general solution for cos(θ)=(sqrt(65))/(65) is θ=1.44644…+2pin,θ=2pi-1.44644…+2pin

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cos(θ)=(sqrt(65))/(65)

cos (θ) = \frac{65}{65}

θ = 1.44644 \dots + 2 πn, θ = 2 π - 1.44644 \dots + 2 πn

Degrees

θ = 82.87498 \dots^{\circ} + 36 0^{\circ} n, θ = 277.12501 \dots^{\circ} + 36 0^{\circ} n

Solution steps

cos (θ) = \frac{65}{65}

Apply trig inverse properties

cos (θ) = \frac{65}{65}

General solutions for

cos (θ) = \frac{65}{65}

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

θ = arccos (\frac{65}{65}) + 2 πn, θ = 2 π - arccos (\frac{65}{65}) + 2 πn

θ = arccos (\frac{65}{65}) + 2 πn, θ = 2 π - arccos (\frac{65}{65}) + 2 πn

Show solutions in decimal form

θ = 1.44644 \dots + 2 πn, θ = 2 π - 1.44644 \dots + 2 πn

- sin (x) - sin (x + \frac{π}{3}) = 0

3 sin (x) - cos (x) = - 1

x, - 4 sin (x) = - cos^{2} (x) + 1

sec (y + \frac{π}{2}) = - 2

sin (θ) = \frac{- 16 65}{65}

What is the general solution for cos(θ)=(sqrt(65))/(65) ?
The general solution for cos(θ)=(sqrt(65))/(65) is θ=1.44644…+2pin,θ=2pi-1.44644…+2pin