What is the general solution for solvefor x,cos(x)= 4/5 ?

The general solution for solvefor x,cos(x)= 4/5 is x=0.64350…+2pin,x=2pi-0.64350…+2pin

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solvefor x,cos(x)= 4/5

solve for

x, cos (x) = \frac{4}{5}

x = 0.64350 \dots + 2 πn, x = 2 π - 0.64350 \dots + 2 πn

Solution steps

cos (x) = \frac{4}{5}

Apply trig inverse properties

x = arccos (\frac{4}{5}) + 2 πn, x = 2 π - arccos (\frac{4}{5}) + 2 πn

Show solutions in decimal form

x = 0.64350 \dots + 2 πn, x = 2 π - 0.64350 \dots + 2 πn

cos (x) = cos (3 \cdot x) + 2 \cdot sin (2 \cdot x)

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

\frac{2}{2} cos (t) = 0

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

5 - 20 cos^{2} (t) = 0

What is the general solution for solvefor x,cos(x)= 4/5 ?
The general solution for solvefor x,cos(x)= 4/5 is x=0.64350…+2pin,x=2pi-0.64350…+2pin