What is the general solution for cos(x)=0.1885 ?

The general solution for cos(x)=0.1885 is x=1.38116…+2pin,x=2pi-1.38116…+2pin

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cos(x)=0.1885

cos (x) = 0.1885

x = 1.38116 \dots + 2 πn, x = 2 π - 1.38116 \dots + 2 πn

Degrees

x = 79.13474 \dots^{\circ} + 36 0^{\circ} n, x = 280.86525 \dots^{\circ} + 36 0^{\circ} n

Solution steps

cos (x) = 0.1885

Apply trig inverse properties

cos (x) = 0.1885

General solutions for

cos (x) = 0.1885

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

x = arccos (0.1885) + 2 πn, x = 2 π - arccos (0.1885) + 2 πn

x = arccos (0.1885) + 2 πn, x = 2 π - arccos (0.1885) + 2 πn

Show solutions in decimal form

x = 1.38116 \dots + 2 πn, x = 2 π - 1.38116 \dots + 2 πn

8 sin^{2} (x) cos^{2} (x) = 1

sin (2 x) = \frac{1}{2}, - π \leq x \leq π

69 cos (\frac{T}{2}) = 45

tan (\frac{π}{4} - x) + tan (x) - 1 = 0

csc (\frac{2 θ}{3}) - 1 = 0

What is the general solution for cos(x)=0.1885 ?
The general solution for cos(x)=0.1885 is x=1.38116…+2pin,x=2pi-1.38116…+2pin