What is the general solution for tan(x)= 20/40 ?

The general solution for tan(x)= 20/40 is x=0.46364…+pin

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tan(x)= 20/40

tan (x) = \frac{20}{40}

x = 0.46364 \dots + πn

Degrees

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

Solution steps

tan (x) = \frac{20}{40}

Cancel the common factor:

20

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

Apply trig inverse properties

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

General solutions for

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

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

x = arctan (\frac{1}{2}) + πn

x = arctan (\frac{1}{2}) + πn

Show solutions in decimal form

x = 0.46364 \dots + πn

2 sin (x + \frac{π}{4}) = 0

sin (x) = \frac{2 ( 5.5 \cdot 1 0 ^{- 7} )}{3.36 \cdot 1 0 ^{- 5}}

sin (x - 3 0^{\circ}) = cos (1 5^{\circ})

tan (x) = 2.8867

3 = cot (q)

What is the general solution for tan(x)= 20/40 ?
The general solution for tan(x)= 20/40 is x=0.46364…+pin