What is the general solution for cos(x)= 280/2000 ?

The general solution for cos(x)= 280/2000 is x=1.43033…+2pin,x=2pi-1.43033…+2pin

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cos(x)= 280/2000

cos (x) = \frac{280}{2000}

x = 1.43033 \dots + 2 πn, x = 2 π - 1.43033 \dots + 2 πn

Degrees

x = 81.95215 \dots^{\circ} + 36 0^{\circ} n, x = 278.04784 \dots^{\circ} + 36 0^{\circ} n

Solution steps

cos (x) = \frac{280}{2000}

Cancel the common factor:

40

cos (x) = \frac{7}{50}

Apply trig inverse properties

cos (x) = \frac{7}{50}

General solutions for

cos (x) = \frac{7}{50}

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

x = arccos (\frac{7}{50}) + 2 πn, x = 2 π - arccos (\frac{7}{50}) + 2 πn

x = arccos (\frac{7}{50}) + 2 πn, x = 2 π - arccos (\frac{7}{50}) + 2 πn

Show solutions in decimal form

x = 1.43033 \dots + 2 πn, x = 2 π - 1.43033 \dots + 2 πn

4 cos (θ) = 2 + 2 cos (θ)

x, T (6) = 3.15 cos (\frac{π}{6} x) + 19.15

3 tan^{2} (x) = 1, - π \leq x \leq π

cos (2 t) - cos (t) = 0.5

0 = - 6 csc (x) cot (x)

What is the general solution for cos(x)= 280/2000 ?
The general solution for cos(x)= 280/2000 is x=1.43033…+2pin,x=2pi-1.43033…+2pin