What is the general solution for cos(x)= 7/12 ?

The general solution for cos(x)= 7/12 is x=0.94796…+2pin,x=2pi-0.94796…+2pin

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cos(x)= 7/12

cos (x) = \frac{7}{12}

x = 0.94796 \dots + 2 πn, x = 2 π - 0.94796 \dots + 2 πn

Degrees

x = 54.31466 \dots^{\circ} + 36 0^{\circ} n, x = 305.68533 \dots^{\circ} + 36 0^{\circ} n

Solution steps

cos (x) = \frac{7}{12}

Apply trig inverse properties

cos (x) = \frac{7}{12}

General solutions for

cos (x) = \frac{7}{12}

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

x = arccos (\frac{7}{12}) + 2 πn, x = 2 π - arccos (\frac{7}{12}) + 2 πn

x = arccos (\frac{7}{12}) + 2 πn, x = 2 π - arccos (\frac{7}{12}) + 2 πn

Show solutions in decimal form

x = 0.94796 \dots + 2 πn, x = 2 π - 0.94796 \dots + 2 πn

5 tan (x) + 3 = 4 (1 + tan (x))

cos (x) + 2 = 3

9 sin (b) + 3 = 5 sin (b) + 1

4 tan (x) + 2 sin (x) cos (x) = 0

cos (x) = 2 cos^{2} (x) - 1

What is the general solution for cos(x)= 7/12 ?
The general solution for cos(x)= 7/12 is x=0.94796…+2pin,x=2pi-0.94796…+2pin