Question

Given the sample Triangle below and the conditions a=3 b=4 find csc(A)

Answer 1

Start by replacing the conditions of the triangle in the figure

find the missing side of the triangle using the Pythagorean theorem

$\begin{gathered} c^2=a^2+b^2 \\ c^2=4^2+3^2 \\ c^2=16+9 \\ c^2=25 \\ c=\sqrt{25} \\ c=5 \end{gathered}$

by definition csc of an angle is:

$csc(\theta)=\frac{hyp}{opp}$

then, if the angle is A,

$cscA=\frac{5}{3}$