What is the general solution for cos(t)= 8/17 ?

The general solution for cos(t)= 8/17 is t=1.08083…+2pin,t=2pi-1.08083…+2pin

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cos(t)= 8/17

cos (t) = \frac{8}{17}

t = 1.08083 \dots + 2 πn, t = 2 π - 1.08083 \dots + 2 πn

Solution steps

cos (t) = \frac{8}{17}

Apply trig inverse properties

t = arccos (\frac{8}{17}) + 2 πn, t = 2 π - arccos (\frac{8}{17}) + 2 πn

Show solutions in decimal form

t = 1.08083 \dots + 2 πn, t = 2 π - 1.08083 \dots + 2 πn

sin^{2} (x) - 5 sin (x) cos (x) + 6 cos^{2} (x) = 0

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

6 sin (x) + 1 = 0

π + 3 arccos (x + 1) = 0

5 sin (2 x) + 3 cos (2 x) = 0

What is the general solution for cos(t)= 8/17 ?
The general solution for cos(t)= 8/17 is t=1.08083…+2pin,t=2pi-1.08083…+2pin