Question

Find the exact value of sin A and cos A where a = 9 and b = 10 and

Answer 1

Given data:

a=9 , b = 10

use the phythagoras theorem,

`c=\sqrt[]{a^2+b}^2`
`\begin{gathered} c=\sqrt[]{9^2+10^2} \\ c=\sqrt[]{81+100} \\ =\sqrt[]{181} \end{gathered}`

thus,

`\sin A=\frac{opp}{\text{hypo}}`
`\text{sinA}=\frac{9}{\sqrt[]{181}}`

and,