What is the general solution for cos(x)=(32)/(34.54) ?

The general solution for cos(x)=(32)/(34.54) is x=0.38589…+2pin,x=2pi-0.38589…+2pin

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cos(x)=(32)/(34.54)

cos (x) = \frac{32}{34.54}

x = 0.38589 \dots + 2 πn, x = 2 π - 0.38589 \dots + 2 πn

Degrees

x = 22.11013 \dots^{\circ} + 36 0^{\circ} n, x = 337.88986 \dots^{\circ} + 36 0^{\circ} n

Solution steps

cos (x) = \frac{32}{34.54}

Apply trig inverse properties

cos (x) = \frac{32}{34.54}

General solutions for

cos (x) = \frac{32}{34.54}

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

x = arccos (\frac{32}{34.54}) + 2 πn, x = 2 π - arccos (\frac{32}{34.54}) + 2 πn

x = arccos (\frac{32}{34.54}) + 2 πn, x = 2 π - arccos (\frac{32}{34.54}) + 2 πn

Show solutions in decimal form

x = 0.38589 \dots + 2 πn, x = 2 π - 0.38589 \dots + 2 πn

tan (a) = \frac{51}{140}

cos^{2} (x) + cos (x) + 1 = sin^{2} (x)

sin (x) cot (x) csc (x) = 2

cos (2 x) + 4 cos (x) = - 3

1 = 2 cos (2 x)

What is the general solution for cos(x)=(32)/(34.54) ?
The general solution for cos(x)=(32)/(34.54) is x=0.38589…+2pin,x=2pi-0.38589…+2pin