Question

Find the value of the trigonometric ratio rounded to 4 decimal places

Answer 1

0.5299

1) The sine of 32º can be found using the following

sin(x +y) = sinx*cosy + seny*cos(x)

2) Since 32º is the same as 30º + 2º

`\begin{gathered} \sin \mleft(30+2\mright)=\sin 30\cdot\cos (2)\text{ +}\sin (2)\cdot\cos (30) \\ \sin (30+2)\text{ = }(1)/(2)\cdot0.999+0.034\cdot\frac{\sqrt[]{3}}{2} \\ \sin (32)=\text{ 0.5}\cdot0.999+0.034\cdot0.866 \\ \sin (32)\approx0.5299 \end{gathered}`

3) Hence, the sine of (32) is approximately 0.5299