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

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

sin (\frac{1}{4} x) = 0

4 cos^{2} (x) - 4 cos (x) = - 1

2 sec (x) tan (x) = 0

tan^{2} (θ) - 3 tan (θ) - 4 = 0

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