What is the general solution for 0.34=cos(x) ?

The general solution for 0.34=cos(x) is x=1.22387…+2pin,x=2pi-1.22387…+2pin

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0.34=cos(x)

0.34 = cos (x)

x = 1.22387 \dots + 2 πn, x = 2 π - 1.22387 \dots + 2 πn

Degrees

x = 70.12312 \dots^{\circ} + 36 0^{\circ} n, x = 289.87687 \dots^{\circ} + 36 0^{\circ} n

Solution steps

0.34 = cos (x)

Switch sides

cos (x) = 0.34

Apply trig inverse properties

cos (x) = 0.34

General solutions for

cos (x) = 0.34

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

x = arccos (0.34) + 2 πn, x = 2 π - arccos (0.34) + 2 πn

x = arccos (0.34) + 2 πn, x = 2 π - arccos (0.34) + 2 πn

Show solutions in decimal form

x = 1.22387 \dots + 2 πn, x = 2 π - 1.22387 \dots + 2 πn

7 sin (x) cos (x) + cos^{2} (x) = 1

(tan (x) - 1) (cos (x) - 1) = 0

sin (y) = \frac{4}{12}

x, 2 y sin (x) = 0

2 sin^{2} (\frac{θ}{2}) - 2 cos^{2} (θ) = 0

What is the general solution for 0.34=cos(x) ?
The general solution for 0.34=cos(x) is x=1.22387…+2pin,x=2pi-1.22387…+2pin