What is the general solution for tan(x)= 300/400 ?

The general solution for tan(x)= 300/400 is x=0.64350…+pin

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tan(x)= 300/400

tan (x) = \frac{300}{400}

x = 0.64350 \dots + πn

Degrees

x = 36.86989 \dots^{\circ} + 18 0^{\circ} n

Solution steps

tan (x) = \frac{300}{400}

Cancel the common factor:

100

tan (x) = \frac{3}{4}

Apply trig inverse properties

tan (x) = \frac{3}{4}

General solutions for

tan (x) = \frac{3}{4}

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

x = arctan (\frac{3}{4}) + πn

x = arctan (\frac{3}{4}) + πn

Show solutions in decimal form

x = 0.64350 \dots + πn

tan^{2} (x) - tan (x) = 0, (180, 270)

2 sin^{2} (θ) + 3 cos (θ) - 3 = 0

3 sin (x) tan (x) + 3 sin (x) = 0

sin (z) + cos (z) = 2

12 sin^{2} (t) + cos (t) - 4 = 2

What is the general solution for tan(x)= 300/400 ?
The general solution for tan(x)= 300/400 is x=0.64350…+pin