What is the general solution for cos(C)=0.87 ?

The general solution for cos(C)=0.87 is C=0.51559…+2pin,C=2pi-0.51559…+2pin

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cos(C)=0.87

cos (C) = 0.87

C = 0.51559 \dots + 2 πn, C = 2 π - 0.51559 \dots + 2 πn

Degrees

C = 29.54136 \dots^{\circ} + 36 0^{\circ} n, C = 330.45863 \dots^{\circ} + 36 0^{\circ} n

Solution steps

cos (C) = 0.87

Apply trig inverse properties

cos (C) = 0.87

General solutions for

cos (C) = 0.87

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

C = arccos (0.87) + 2 πn, C = 2 π - arccos (0.87) + 2 πn

C = arccos (0.87) + 2 πn, C = 2 π - arccos (0.87) + 2 πn

Show solutions in decimal form

C = 0.51559 \dots + 2 πn, C = 2 π - 0.51559 \dots + 2 πn

4 cot (x) + 3 = - 1

cos (\frac{θ}{2}) - cos (θ) = 1

cot (θ) = \frac{4}{3}

0 = sin (x) - cos (x)

1 - tan^{2} (x) = sec^{2} (x)

What is the general solution for cos(C)=0.87 ?
The general solution for cos(C)=0.87 is C=0.51559…+2pin,C=2pi-0.51559…+2pin