What is the general solution for tan(b)= 1/2 ?

The general solution for tan(b)= 1/2 is b=0.46364…+pin

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tan(b)= 1/2

tan (b) = \frac{1}{2}

b = 0.46364 \dots + πn

Degrees

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

Solution steps

tan (b) = \frac{1}{2}

Apply trig inverse properties

tan (b) = \frac{1}{2}

General solutions for

tan (b) = \frac{1}{2}

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

b = arctan (\frac{1}{2}) + πn

b = arctan (\frac{1}{2}) + πn

Show solutions in decimal form

b = 0.46364 \dots + πn

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

sin^{22} (x) = 4 sin^{2} (x) cos^{2} (x)

sin (x) = \frac{4.1}{7.1}

(1 + cos^{2} (a)) sin^{2} (a) = 1

cos^{4} (x) = cos^{23} (x)

What is the general solution for tan(b)= 1/2 ?
The general solution for tan(b)= 1/2 is b=0.46364…+pin