What is the general solution for cos(x)=(14.3)/(19) ?

The general solution for cos(x)=(14.3)/(19) is x=0.71874…+2pin,x=2pi-0.71874…+2pin

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cos(x)=(14.3)/(19)

cos (x) = \frac{14.3}{19}

x = 0.71874 \dots + 2 πn, x = 2 π - 0.71874 \dots + 2 πn

Degrees

x = 41.18114 \dots^{\circ} + 36 0^{\circ} n, x = 318.81885 \dots^{\circ} + 36 0^{\circ} n

Solution steps

cos (x) = \frac{14.3}{19}

Apply trig inverse properties

cos (x) = \frac{14.3}{19}

General solutions for

cos (x) = \frac{14.3}{19}

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

x = arccos (\frac{14.3}{19}) + 2 πn, x = 2 π - arccos (\frac{14.3}{19}) + 2 πn

x = arccos (\frac{14.3}{19}) + 2 πn, x = 2 π - arccos (\frac{14.3}{19}) + 2 πn

Show solutions in decimal form

x = 0.71874 \dots + 2 πn, x = 2 π - 0.71874 \dots + 2 πn

- 12 sin (x) = 0

3 cot^{2} (x) - 5 = - 4

25 cot^{2} (x) - 16 = 0

- 9 cos^{2} (θ) + 9 = 16 sin (θ) - 7

3 + 2 cos (x) = 0

What is the general solution for cos(x)=(14.3)/(19) ?
The general solution for cos(x)=(14.3)/(19) is x=0.71874…+2pin,x=2pi-0.71874…+2pin