What is the general solution for 31.91cos(x)=20.48 ?

The general solution for 31.91cos(x)=20.48 is x=0.87394…+2pin,x=2pi-0.87394…+2pin

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31.91cos(x)=20.48

31.91 cos (x) = 20.48

x = 0.87394 \dots + 2 πn, x = 2 π - 0.87394 \dots + 2 πn

Solution steps

31.91 cos (x) = 20.48

Multiply both sides by

100

3191 cos (x) = 2048

Divide both sides by

3191

cos (x) = \frac{2048}{3191}

Apply trig inverse properties

x = arccos (\frac{2048}{3191}) + 2 πn, x = 2 π - arccos (\frac{2048}{3191}) + 2 πn

Show solutions in decimal form

x = 0.87394 \dots + 2 πn, x = 2 π - 0.87394 \dots + 2 πn

7 sin (x) + 7 sin (x) tan (x) = 0

0 = cos (20 t) - cos (20.02 t)

2 tan (2 x - 10) = 3.4641

12 cos (\frac{π}{3} x) + 8 = 0

\frac{sin ( 4 5 ^{\circ} )}{497.01} = \frac{sin ( x )}{450}

What is the general solution for 31.91cos(x)=20.48 ?
The general solution for 31.91cos(x)=20.48 is x=0.87394…+2pin,x=2pi-0.87394…+2pin