What is the general solution for 35708=35795cos(x) ?

The general solution for 35708=35795cos(x) is x=0.06973…+2pin,x=2pi-0.06973…+2pin

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35708=35795cos(x)

35708 = 35795 cos (x)

x = 0.06973 \dots + 2 πn, x = 2 π - 0.06973 \dots + 2 πn

Degrees

x = 3.99552 \dots^{\circ} + 36 0^{\circ} n, x = 356.00447 \dots^{\circ} + 36 0^{\circ} n

Solution steps

35708 = 35795 cos (x)

Switch sides

35795 cos (x) = 35708

Divide both sides by

35795

35795 cos (x) = 35708

Divide both sides by

35795

\frac{35795 cos ( x )}{35795} = \frac{35708}{35795}

Simplify

cos (x) = \frac{35708}{35795}

cos (x) = \frac{35708}{35795}

Apply trig inverse properties

cos (x) = \frac{35708}{35795}

General solutions for

cos (x) = \frac{35708}{35795}

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

x = arccos (\frac{35708}{35795}) + 2 πn, x = 2 π - arccos (\frac{35708}{35795}) + 2 πn

x = arccos (\frac{35708}{35795}) + 2 πn, x = 2 π - arccos (\frac{35708}{35795}) + 2 πn

Show solutions in decimal form

x = 0.06973 \dots + 2 πn, x = 2 π - 0.06973 \dots + 2 πn

sin (θ) = \frac{2 - 3}{10}

sin (x) = 0.844

2 cos (x) = - cos (x)

tan (x) = - 10

cos (\frac{π}{x}) = \frac{3}{3}

What is the general solution for 35708=35795cos(x) ?
The general solution for 35708=35795cos(x) is x=0.06973…+2pin,x=2pi-0.06973…+2pin