What is the general solution for cos(x)=-24/25 ?

The general solution for cos(x)=-24/25 is x=2.85779…+2pin,x=-2.85779…+2pin

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cos(x)=-24/25

cos (x) = - \frac{24}{25}

x = 2.85779 \dots + 2 πn, x = - 2.85779 \dots + 2 πn

Solution steps

cos (x) = - \frac{24}{25}

Apply trig inverse properties

x = arccos (- \frac{24}{25}) + 2 πn, x = - arccos (- \frac{24}{25}) + 2 πn

Show solutions in decimal form

x = 2.85779 \dots + 2 πn, x = - 2.85779 \dots + 2 πn

cos (2 x) = \frac{3}{2}, 0 \leq x < 2 π

cos (θ) = - 4

sin (A) = \frac{1}{2}

- 4 sin^{2} (θ) - 3 sin (θ) + 5 = 0

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

What is the general solution for cos(x)=-24/25 ?
The general solution for cos(x)=-24/25 is x=2.85779…+2pin,x=-2.85779…+2pin