What is the general solution for tan(x)= 7/24 ?

The general solution for tan(x)= 7/24 is x=0.28379…+pin

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tan(x)= 7/24

tan (x) = \frac{7}{24}

x = 0.28379 \dots + πn

Degrees

x = 16.26020 \dots^{\circ} + 18 0^{\circ} n

Solution steps

tan (x) = \frac{7}{24}

Apply trig inverse properties

tan (x) = \frac{7}{24}

General solutions for

tan (x) = \frac{7}{24}

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

x = arctan (\frac{7}{24}) + πn

x = arctan (\frac{7}{24}) + πn

Show solutions in decimal form

x = 0.28379 \dots + πn

5 sin (x) = 2 cos^{2} (x) - 4

2 sin (x - \frac{π}{2}) + 2 = 0

tan (2 t) + tan (t) = 1 - tan (2 t) tan (t)

2 cos^{3} (x) - cos (x) = 0

- 2 cos (2 x) = 3

What is the general solution for tan(x)= 7/24 ?
The general solution for tan(x)= 7/24 is x=0.28379…+pin