What is the general solution for 885cos(θ)-70=cos(250) ?

The general solution for 885cos(θ)-70=cos(250) is θ=1.49200…+360n,θ=360-1.49200…+360n

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885cos(θ)-70=cos(250)

885 cos (θ) - 70 = cos (25 0^{\circ})

θ = 1.49200 \dots + 36 0^{\circ} n, θ = 36 0^{\circ} - 1.49200 \dots + 36 0^{\circ} n

Solution steps

885 cos (θ) - 70 = cos (25 0^{\circ})

Move

70

to the right side

885 cos (θ) = cos (25 0^{\circ}) + 70

Divide both sides by

885

cos (θ) = \frac{cos ( 25 0 ^{\circ} ) + 70}{885}

Apply trig inverse properties

θ = arccos (\frac{cos ( 25 0 ^{\circ} ) + 70}{885}) + 36 0^{\circ} n, θ = 36 0^{\circ} - arccos (\frac{cos ( 25 0 ^{\circ} ) + 70}{885}) + 36 0^{\circ} n

Show solutions in decimal form

θ = 1.49200 \dots + 36 0^{\circ} n, θ = 36 0^{\circ} - 1.49200 \dots + 36 0^{\circ} n

tan (x) + 5 = 0, x \leq 0 < 2 π

\frac{31.5}{sin ( 57.2 2 ^{\circ} )} = \frac{24.4}{sin ( x )}

23 cos (θ - \frac{π}{3}) = 3, 0 \leq θ \leq 2 π

sin (6 x) = 1

3 sin (θ) = 2 cos (θ)

What is the general solution for 885cos(θ)-70=cos(250) ?
The general solution for 885cos(θ)-70=cos(250) is θ=1.49200…+360n,θ=360-1.49200…+360n