What is the general solution for cos(x)=0.159 ?

The general solution for cos(x)=0.159 is x=1.41111…+2pin,x=2pi-1.41111…+2pin

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cos(x)=0.159

cos (x) = 0.159

x = 1.41111 \dots + 2 πn, x = 2 π - 1.41111 \dots + 2 πn

Degrees

x = 80.85114 \dots^{\circ} + 36 0^{\circ} n, x = 279.14885 \dots^{\circ} + 36 0^{\circ} n

Solution steps

cos (x) = 0.159

Apply trig inverse properties

cos (x) = 0.159

General solutions for

cos (x) = 0.159

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

x = arccos (0.159) + 2 πn, x = 2 π - arccos (0.159) + 2 πn

x = arccos (0.159) + 2 πn, x = 2 π - arccos (0.159) + 2 πn

Show solutions in decimal form

x = 1.41111 \dots + 2 πn, x = 2 π - 1.41111 \dots + 2 πn

sin (2 x) = 1 - cos (2 x)

- 1 = cos (θ)

sin (θ) sec (θ) = tan^{2} (θ)

sin (3 x) - 2 sin (x) = 0

sin (x + \frac{π}{2}) - sin (x - \frac{π}{2}) = 3

What is the general solution for cos(x)=0.159 ?
The general solution for cos(x)=0.159 is x=1.41111…+2pin,x=2pi-1.41111…+2pin