What is the general solution for cos(B)= 8/12 ?

The general solution for cos(B)= 8/12 is B=0.84106…+2pin,B=2pi-0.84106…+2pin

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cos(B)= 8/12

cos (B) = \frac{8}{12}

B = 0.84106 \dots + 2 πn, B = 2 π - 0.84106 \dots + 2 πn

Degrees

B = 48.18968 \dots^{\circ} + 36 0^{\circ} n, B = 311.81031 \dots^{\circ} + 36 0^{\circ} n

Solution steps

cos (B) = \frac{8}{12}

Cancel the common factor:

4

cos (B) = \frac{2}{3}

Apply trig inverse properties

cos (B) = \frac{2}{3}

General solutions for

cos (B) = \frac{2}{3}

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

B = arccos (\frac{2}{3}) + 2 πn, B = 2 π - arccos (\frac{2}{3}) + 2 πn

B = arccos (\frac{2}{3}) + 2 πn, B = 2 π - arccos (\frac{2}{3}) + 2 πn

Show solutions in decimal form

B = 0.84106 \dots + 2 πn, B = 2 π - 0.84106 \dots + 2 πn

sin (t) = \frac{1}{2}, 0 \leq t < \frac{π}{2}

tan (θ) = 1.4

sin (θ) = - 0.8062

25 cot^{2} (x) - 1 = 0

\frac{3}{2} = - \frac{1}{2} \cdot sin (θ)

What is the general solution for cos(B)= 8/12 ?
The general solution for cos(B)= 8/12 is B=0.84106…+2pin,B=2pi-0.84106…+2pin