a= arctan 3/4 + arcsin 4/5

b= arcsin 2/5 + arccos 2/5

a/b=?

asked by guest
on Jan 12, 2025 at 11:30 pm



You asked:

Given the following equations: \[\begin{aligned}a &= \frac{\arctan\left( 3 \right)}{4} + \frac{\arcsin\left( 4 \right)}{5}\\ b &= \frac{\arcsin\left( 2 \right)}{5} + \frac{\arccos\left( 2 \right)}{5}\end{aligned}\] Evaluate \(\frac{a}{b}\).

MathBot Answer:

\[\frac{a}{b} = \frac{\frac{\arctan\left( 3 \right)}{4} + \frac{\arcsin\left( 4 \right)}{5}}{\frac{\arcsin\left( 2 \right)}{5} + \frac{\arccos\left( 2 \right)}{5}} = \frac{\frac{\arctan{\left(3 \right)}}{4} + \frac{\arcsin{\left(4 \right)}}{5}}{\frac{\arcsin{\left(2 \right)}}{5} + \frac{\arccos{\left(2 \right)}}{5}}\]