Question

Find the trigonometric ratios in standard position whose terminal arm passes through the points.
(i) (4,3)

Answer 1

Let the terminal arm pass through the point A(4, 3).
∴ x = 4 and y = 3

Here, $r=\sqrt{x^2+y^2}=\sqrt{3^2+4^2}=5$

Now, let the angle be $\theta$.

$$\begin{gathered} \sin \theta =\frac{y}{r}=\frac{3}{5};\cos ec\theta =\frac{r}{y}=\frac{5}{3} \\ \cos \theta =\frac{x}{r}=\frac{4}{5};sec\theta =\frac{r}{x}=\frac{5}{4} \\ \tan \theta =\frac{y}{x}=\frac{3}{4};cot\theta =\frac{x}{y}=\frac{4}{3} \end{gathered}$$