What is the general solution for tan(t)= 3/4 ?

The general solution for tan(t)= 3/4 is t=0.64350…+pin

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tan(t)= 3/4

tan (t) = \frac{3}{4}

t = 0.64350 \dots + πn

Degrees

t = 36.86989 \dots^{\circ} + 18 0^{\circ} n

Solution steps

tan (t) = \frac{3}{4}

Apply trig inverse properties

tan (t) = \frac{3}{4}

General solutions for

tan (t) = \frac{3}{4}

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

t = arctan (\frac{3}{4}) + πn

t = arctan (\frac{3}{4}) + πn

Show solutions in decimal form

t = 0.64350 \dots + πn

2 cos (θ) - 2 sin (2 θ) = 0

tan (x) = \frac{5}{3} sin (x) [0.2 π]

4 sin^{2} (x) - cos^{2} (x) = 0

cos (\frac{π}{2} - x) = cos (\frac{π}{2}) - cos (x)

- 3 cos (\frac{π}{2} - θ) = tan (θ)

What is the general solution for tan(t)= 3/4 ?
The general solution for tan(t)= 3/4 is t=0.64350…+pin