What is the general solution for tan(x)=(1.6)/4 ?

The general solution for tan(x)=(1.6)/4 is x=0.38050…+pin

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tan(x)=(1.6)/4

tan (x) = \frac{1.6}{4}

x = 0.38050 \dots + πn

Degrees

x = 21.80140 \dots^{\circ} + 18 0^{\circ} n

Solution steps

tan (x) = \frac{1.6}{4}

Apply trig inverse properties

tan (x) = \frac{1.6}{4}

General solutions for

tan (x) = \frac{1.6}{4}

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

x = arctan (\frac{1.6}{4}) + πn

x = arctan (\frac{1.6}{4}) + πn

Show solutions in decimal form

x = 0.38050 \dots + πn

sin^{2} (x) + 7 sin^{2} (x) + 5 cos^{2} (x) + 3 = 0

2 cos (a) = 3 sin^{2} (a)

\frac{11}{cos ( 9 0 ^{\circ} )} = \frac{10}{cos ( x )}

tan^{2} (x) = cot^{2} (x)

x, cos (\frac{x}{2}) = - cos (2 x - 30)

What is the general solution for tan(x)=(1.6)/4 ?
The general solution for tan(x)=(1.6)/4 is x=0.38050…+pin