What is the general solution for tan(x)= 36/28 ?

The general solution for tan(x)= 36/28 is x=0.90975…+pin

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tan(x)= 36/28

tan (x) = \frac{36}{28}

x = 0.90975 \dots + πn

Degrees

x = 52.12501 \dots^{\circ} + 18 0^{\circ} n

Solution steps

tan (x) = \frac{36}{28}

Cancel the common factor:

4

tan (x) = \frac{9}{7}

Apply trig inverse properties

tan (x) = \frac{9}{7}

General solutions for

tan (x) = \frac{9}{7}

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

x = arctan (\frac{9}{7}) + πn

x = arctan (\frac{9}{7}) + πn

Show solutions in decimal form

x = 0.90975 \dots + πn

tan (x) = - 2 sin (x)

2 cos (θ) = 1

cos (x) = sin (4 x)

0 = 2 + 4 sin (x)

sin (x) = \frac{1}{5}

What is the general solution for tan(x)= 36/28 ?
The general solution for tan(x)= 36/28 is x=0.90975…+pin