What is the general solution for tan(x)= 16/3 ?

The general solution for tan(x)= 16/3 is x=1.38544…+pin

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tan(x)= 16/3

tan (x) = \frac{16}{3}

x = 1.38544 \dots + πn

Degrees

x = 79.38034 \dots^{\circ} + 18 0^{\circ} n

Solution steps

tan (x) = \frac{16}{3}

Apply trig inverse properties

tan (x) = \frac{16}{3}

General solutions for

tan (x) = \frac{16}{3}

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

x = arctan (\frac{16}{3}) + πn

x = arctan (\frac{16}{3}) + πn

Show solutions in decimal form

x = 1.38544 \dots + πn

\frac{1}{( sec ( a ) - tan ( a ) )} = sec (a) + tan (x)

- 2 = tan^{2} (x)

3 sin^{2} (x) - 1 = cos^{4} (x)

sin (3 \cdot x) = cos (x)

sin^{22} (x) = sin^{2} (x)

What is the general solution for tan(x)= 16/3 ?
The general solution for tan(x)= 16/3 is x=1.38544…+pin