What is the general solution for tan(x)= 28/16 ?

The general solution for tan(x)= 28/16 is x=1.05165…+pin

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tan(x)= 28/16

tan (x) = \frac{28}{16}

x = 1.05165 \dots + πn

Degrees

x = 60.25511 \dots^{\circ} + 18 0^{\circ} n

Solution steps

tan (x) = \frac{28}{16}

Cancel the common factor:

4

tan (x) = \frac{7}{4}

Apply trig inverse properties

tan (x) = \frac{7}{4}

General solutions for

tan (x) = \frac{7}{4}

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

x = arctan (\frac{7}{4}) + πn

x = arctan (\frac{7}{4}) + πn

Show solutions in decimal form

x = 1.05165 \dots + πn

2 sin^{2} (x) = 3 - sin (x)

9 tan (2 x) - 18 cos (x) = 0

8 cos (2 t) - 14 sin (2 t) = 0

1 - 2 sin (θ) = 0

sin^{2} (x) = 2 cos (x)

What is the general solution for tan(x)= 28/16 ?
The general solution for tan(x)= 28/16 is x=1.05165…+pin