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

The general solution for tan(t)= 4/3 ,sin(t) is No Solution for t\in\mathbb{R}

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tan(t)= 4/3 ,sin(t)

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

No Solution for t \in R

Solution steps

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

Apply trig inverse properties

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

General solutions for

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

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

t = arctan (\frac{4}{3}) + πn

t = arctan (\frac{4}{3}) + πn

Solutions for the range

sin (t)

No Solution for t \in R

cos (x) = \frac{2}{6}

- 8 \cdot sin (0.784 + x) = 0

6 sin^{2} (x) + 5 sin (x) + 1 = 0

arcsin (x) = arcsin (\frac{2}{5}) + arcsin (\frac{3}{5})

3 tan^{2} (x) + tan (x) = 0

What is the general solution for tan(t)= 4/3 ,sin(t) ?
The general solution for tan(t)= 4/3 ,sin(t) is No Solution for t\in\mathbb{R}