What is the general solution for tan(x)= 500/400 ?

The general solution for tan(x)= 500/400 is x=0.89605…+pin

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tan(x)= 500/400

tan (x) = \frac{500}{400}

x = 0.89605 \dots + πn

Degrees

x = 51.34019 \dots^{\circ} + 18 0^{\circ} n

Solution steps

tan (x) = \frac{500}{400}

Cancel the common factor:

100

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

Apply trig inverse properties

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

General solutions for

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

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

x = arctan (\frac{5}{4}) + πn

x = arctan (\frac{5}{4}) + πn

Show solutions in decimal form

x = 0.89605 \dots + πn

sin (x) = 0.707

tan^{2} (x) = 3, 0 < x < 2 π

4 cos (x - π) - 4 = 0

cos (θ) = \frac{4 2}{7}, sin (θ)

arctan (\frac{1}{x - 1}) + arctan (\frac{2}{x + 1}) = \frac{π}{4}

What is the general solution for tan(x)= 500/400 ?
The general solution for tan(x)= 500/400 is x=0.89605…+pin