What is the general solution for tan(x)= 12/50 ?

The general solution for tan(x)= 12/50 is x=0.23554…+pin

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tan(x)= 12/50

tan (x) = \frac{12}{50}

x = 0.23554 \dots + πn

Degrees

x = 13.49573 \dots^{\circ} + 18 0^{\circ} n

Solution steps

tan (x) = \frac{12}{50}

Cancel the common factor:

2

tan (x) = \frac{6}{25}

Apply trig inverse properties

tan (x) = \frac{6}{25}

General solutions for

tan (x) = \frac{6}{25}

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

x = arctan (\frac{6}{25}) + πn

x = arctan (\frac{6}{25}) + πn

Show solutions in decimal form

x = 0.23554 \dots + πn

sin (x) - 2 sin (x) \cdot cos (x) = 0

(cos (x) - 1) (cos (x) + 1) = 0

sin (x) = cos (3 0^{\circ})

sec (θ) cos (θ) tan (θ) = 1

cos^{3} (x) - 3 cos (x) = 3 cos (x) sin (x)

What is the general solution for tan(x)= 12/50 ?
The general solution for tan(x)= 12/50 is x=0.23554…+pin