What is the general solution for cos(y)=0.5736 ?

The general solution for cos(y)=0.5736 is y=0.95990…+2pin,y=2pi-0.95990…+2pin

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cos(y)=0.5736

cos (y) = 0.5736

y = 0.95990 \dots + 2 πn, y = 2 π - 0.95990 \dots + 2 πn

Degrees

y = 54.99835 \dots^{\circ} + 36 0^{\circ} n, y = 305.00164 \dots^{\circ} + 36 0^{\circ} n

Solution steps

cos (y) = 0.5736

Apply trig inverse properties

cos (y) = 0.5736

General solutions for

cos (y) = 0.5736

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

y = arccos (0.5736) + 2 πn, y = 2 π - arccos (0.5736) + 2 πn

y = arccos (0.5736) + 2 πn, y = 2 π - arccos (0.5736) + 2 πn

Show solutions in decimal form

y = 0.95990 \dots + 2 πn, y = 2 π - 0.95990 \dots + 2 πn

cot (θ) = - \frac{6}{5}

cot (x) cos (x) - cot (x) = 0

sec^{2} (θ) - 25 = 0

cos (6 x) = - 1

cos (a) = - \frac{3}{2}

What is the general solution for cos(y)=0.5736 ?
The general solution for cos(y)=0.5736 is y=0.95990…+2pin,y=2pi-0.95990…+2pin