What is the general solution for tan(x)= 200/500 ?

The general solution for tan(x)= 200/500 is x=0.38050…+pin

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tan(x)= 200/500

tan (x) = \frac{200}{500}

x = 0.38050 \dots + πn

Degrees

x = 21.80140 \dots^{\circ} + 18 0^{\circ} n

Solution steps

tan (x) = \frac{200}{500}

Cancel the common factor:

100

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

Apply trig inverse properties

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

General solutions for

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

tan (x) = a \Rightarrow x = arctan (a) + πn

x = arctan (\frac{2}{5}) + πn

x = arctan (\frac{2}{5}) + πn

Show solutions in decimal form

x = 0.38050 \dots + πn

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

sec (θ) = tan (θ)

- 3 csc (θ) = 2

sin (x) - 2 cos^{2} (x) = - 1

- 2 + 2 cos (x) + 4 cos^{2} (x) = 0

What is the general solution for tan(x)= 200/500 ?
The general solution for tan(x)= 200/500 is x=0.38050…+pin