What is the general solution for 2-7cos(x)=0 ?

The general solution for 2-7cos(x)=0 is x=1.28104…+2pin,x=2pi-1.28104…+2pin

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2-7cos(x)=0

2 - 7 cos (x) = 0

x = 1.28104 \dots + 2 πn, x = 2 π - 1.28104 \dots + 2 πn

Solution steps

2 - 7 cos (x) = 0

Move

2

to the right side

- 7 cos (x) = - 2

Divide both sides by

- 7

cos (x) = \frac{2}{7}

Apply trig inverse properties

x = arccos (\frac{2}{7}) + 2 πn, x = 2 π - arccos (\frac{2}{7}) + 2 πn

Show solutions in decimal form

x = 1.28104 \dots + 2 πn, x = 2 π - 1.28104 \dots + 2 πn

cos (θ) = - \frac{8}{17}

cos (2 x) = 8 - 15 sin (x)

sin (4 x) = cos (\frac{x}{2})

a, cos (a - b) = 2

cos (\frac{π}{2} - x) tan (x) - sec (- x) = 1

What is the general solution for 2-7cos(x)=0 ?
The general solution for 2-7cos(x)=0 is x=1.28104…+2pin,x=2pi-1.28104…+2pin