What is the general solution for cos(x)= 4/10 ?

The general solution for cos(x)= 4/10 is x=1.15927…+2pin,x=2pi-1.15927…+2pin

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cos(x)= 4/10

cos (x) = \frac{4}{10}

x = 1.15927 \dots + 2 πn, x = 2 π - 1.15927 \dots + 2 πn

Solution steps

cos (x) = \frac{4}{10}

Cancel the common factor:

2

cos (x) = \frac{2}{5}

Apply trig inverse properties

x = arccos (\frac{2}{5}) + 2 πn, x = 2 π - arccos (\frac{2}{5}) + 2 πn

Show solutions in decimal form

x = 1.15927 \dots + 2 πn, x = 2 π - 1.15927 \dots + 2 πn

16 cos (2 x) - 4 = 0

- csc (x) cot (x) = 0

4 sin (θ) = \frac{1}{cos ( θ )}

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

10 sin (A) + 16 = 3 sin (A) + 9

What is the general solution for cos(x)= 4/10 ?
The general solution for cos(x)= 4/10 is x=1.15927…+2pin,x=2pi-1.15927…+2pin