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

The general solution for cos(a)= 24/25 is a=0.28379…+2pin,a=2pi-0.28379…+2pin

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cos(a)= 24/25

cos (a) = \frac{24}{25}

a = 0.28379 \dots + 2 πn, a = 2 π - 0.28379 \dots + 2 πn

Degrees

a = 16.26020 \dots^{\circ} + 36 0^{\circ} n, a = 343.73979 \dots^{\circ} + 36 0^{\circ} n

Solution steps

cos (a) = \frac{24}{25}

Apply trig inverse properties

cos (a) = \frac{24}{25}

General solutions for

cos (a) = \frac{24}{25}

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

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

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

Show solutions in decimal form

a = 0.28379 \dots + 2 πn, a = 2 π - 0.28379 \dots + 2 πn

sin^{2} (x) = 3 sin (x) - 2

4 sin^{2} (3 x) - 1 = 0

sin (θ) - 2 cos^{2} (θ) = - 1

\frac{1}{1 - cos ( x )} + \frac{1}{1 + cos ( x )} = 2 csc (x)

\frac{3}{8} = cos (θ)

What is the general solution for cos(a)= 24/25 ?
The general solution for cos(a)= 24/25 is a=0.28379…+2pin,a=2pi-0.28379…+2pin