What is the general solution for tan(x)= 27/48 ?

The general solution for tan(x)= 27/48 is x=0.51238…+pin

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tan(x)= 27/48

tan (x) = \frac{27}{48}

x = 0.51238 \dots + πn

Degrees

x = 29.35775 \dots^{\circ} + 18 0^{\circ} n

Solution steps

tan (x) = \frac{27}{48}

Cancel the common factor:

3

tan (x) = \frac{9}{16}

Apply trig inverse properties

tan (x) = \frac{9}{16}

General solutions for

tan (x) = \frac{9}{16}

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

x = arctan (\frac{9}{16}) + πn

x = arctan (\frac{9}{16}) + πn

Show solutions in decimal form

x = 0.51238 \dots + πn

cos (θ) - sin (θ) = 1, 0 \leq θ \leq 2 π

2 cos (x) = - 0.2

cot (θ - \frac{π}{2}) = 1.07

2 sin (x) = 1, x \geq 2 π, 0

2^{a r c c o s (x)} + 4^{a r c c o s (x) + 1} - 2 = 3

What is the general solution for tan(x)= 27/48 ?
The general solution for tan(x)= 27/48 is x=0.51238…+pin