What is the general solution for tan(a)=0.5 ?

The general solution for tan(a)=0.5 is a=0.46364…+pin

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tan(a)=0.5

tan (a) = 0.5

a = 0.46364 \dots + πn

Degrees

a = 26.56505 \dots^{\circ} + 18 0^{\circ} n

Solution steps

tan (a) = 0.5

Apply trig inverse properties

tan (a) = 0.5

General solutions for

tan (a) = 0.5

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

a = arctan (0.5) + πn

a = arctan (0.5) + πn

Show solutions in decimal form

a = 0.46364 \dots + πn

sec^{2} (x) 4 tan (x) = 0

sin (x) - cos (x) = - 2

2 cos^{2} (x) - sin (x) + 1 = 0, 0 \leq x \leq 18 0^{\circ}

22 cos (x) - 4 sin (x) cos (x) = 0

- sin (x) - 2 sin (2 x) = 0

What is the general solution for tan(a)=0.5 ?
The general solution for tan(a)=0.5 is a=0.46364…+pin