What is the general solution for tan(a)=0.384 ?

The general solution for tan(a)=0.384 is a=0.36663…+pin

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tan(a)=0.384

tan (a) = 0.384

a = 0.36663 \dots + πn

Degrees

a = 21.00678 \dots^{\circ} + 18 0^{\circ} n

Solution steps

tan (a) = 0.384

Apply trig inverse properties

tan (a) = 0.384

General solutions for

tan (a) = 0.384

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

a = arctan (0.384) + πn

a = arctan (0.384) + πn

Show solutions in decimal form

a = 0.36663 \dots + πn

cos (b) = \frac{38}{70}

cos (x) = 1 - sin^{2} (\frac{x}{2})

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

sin^{2} (a) = \frac{( 2 tan ( a ) )}{( 1 + tan ^{2} ( a ) )}

\frac{tan ( a )}{2} = \frac{2}{11}

What is the general solution for tan(a)=0.384 ?
The general solution for tan(a)=0.384 is a=0.36663…+pin