What is the general solution for cos(a)=-1/4 ?

The general solution for cos(a)=-1/4 is a=1.82347…+2pin,a=-1.82347…+2pin

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cos(a)=-1/4

cos (a) = - \frac{1}{4}

a = 1.82347 \dots + 2 πn, a = - 1.82347 \dots + 2 πn

Solution steps

cos (a) = - \frac{1}{4}

Apply trig inverse properties

a = arccos (- \frac{1}{4}) + 2 πn, a = - arccos (- \frac{1}{4}) + 2 πn

Show solutions in decimal form

a = 1.82347 \dots + 2 πn, a = - 1.82347 \dots + 2 πn

\frac{cos ^{2} ( x ) - 4}{cos ( x ) - 2} = 1

- 8 sec^{2} (x) - 26 tan (x) = 12

tan (θ) = 0.3

tan (θ) = 0.8

sin (a) tan (a) = sin (a)

What is the general solution for cos(a)=-1/4 ?
The general solution for cos(a)=-1/4 is a=1.82347…+2pin,a=-1.82347…+2pin