What is the general solution for cos(u)= 5/13 ?

The general solution for cos(u)= 5/13 is u=1.17600…+2pin,u=2pi-1.17600…+2pin

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cos(u)= 5/13

cos (u) = \frac{5}{13}

u = 1.17600 \dots + 2 πn, u = 2 π - 1.17600 \dots + 2 πn

Solution steps

cos (u) = \frac{5}{13}

Apply trig inverse properties

u = arccos (\frac{5}{13}) + 2 πn, u = 2 π - arccos (\frac{5}{13}) + 2 πn

Show solutions in decimal form

u = 1.17600 \dots + 2 πn, u = 2 π - 1.17600 \dots + 2 πn

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

- sin (θ) = \frac{1}{2}

3 sec (θ) + 6 = 0

sin (x) - sin (x) \cdot cos (x) = 0, 0 \leq x \leq 2 π

8 sin (x) + 6 cos (x) = 8

What is the general solution for cos(u)= 5/13 ?
The general solution for cos(u)= 5/13 is u=1.17600…+2pin,u=2pi-1.17600…+2pin