What is the general solution for tan(x)= 50/36 ?

The general solution for tan(x)= 50/36 is x=0.94677…+pin

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tan(x)= 50/36

tan (x) = \frac{50}{36}

x = 0.94677 \dots + πn

Degrees

x = 54.24611 \dots^{\circ} + 18 0^{\circ} n

Solution steps

tan (x) = \frac{50}{36}

Cancel the common factor:

2

tan (x) = \frac{25}{18}

Apply trig inverse properties

tan (x) = \frac{25}{18}

General solutions for

tan (x) = \frac{25}{18}

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

x = arctan (\frac{25}{18}) + πn

x = arctan (\frac{25}{18}) + πn

Show solutions in decimal form

x = 0.94677 \dots + πn

What is the general solution for tan(x)= 50/36 ?
The general solution for tan(x)= 50/36 is x=0.94677…+pin