What is the general solution for tan(θ)=(36)/(20+16) ?

The general solution for tan(θ)=(36)/(20+16) is θ= pi/4+pin

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tan(θ)=(36)/(20+16)

tan (θ) = \frac{36}{20 + 16}

θ = \frac{π}{4} + πn

Solution steps

tan (θ) = \frac{36}{20 + 16}

Simplify

\frac{36}{20 + 16} : 1

\frac{36}{20 + 16}

Add the numbers:

20 + 16 = 36

= \frac{36}{36}

Apply rule

\frac{a}{a} = 1

= 1

General solutions for

tan (θ) = 1

tan (x)

periodicity table with

πn

cycle:

x 0 \frac{π}{6} \frac{π}{4} \frac{π}{3} \frac{π}{2} \frac{2 π}{3} \frac{3 π}{4} \frac{5 π}{6} tan (x) 0 \frac{3}{3} 13 \pm \infty - 3 - 1 - \frac{3}{3}

θ = \frac{π}{4} + πn

θ = \frac{π}{4} + πn

tan (h) = \frac{9}{9 3}

arcsin (x) + arcsin (3 x) = \frac{π}{2}

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

(cos (x) - 3) (cos (x) + 1) = 0

4 tan^{2} (x) - 16 tan (x) + 7 = 0

What is the general solution for tan(θ)=(36)/(20+16) ?
The general solution for tan(θ)=(36)/(20+16) is θ= pi/4+pin