Question

How to calculate the value of $\sin ,\cos ,\mathrm{cosec},\sec ,\cot \mathrm{and}\tan$?

Answer 1

Calculate the value of trigonometric functions:

Trigonometric functions are defined as the functions of a right-angled triangle.

$\mathrm{P}=$length of the perpendicular of the right-angled triangle.

$\mathrm{H}=$length of the hypotenuse of the right-angled triangle.

$\mathrm{B}=$length of the base of the right-angled triangle.

Here used $\mathrm{A}$ in place of $\mathrm{\alpha }.$

$$\begin{gathered} \mathrm{sinA}=\frac{\mathrm{P}}{\mathrm{H}} \\ \mathrm{cosA}=\frac{\mathrm{B}}{\mathrm{H}} \\ \mathrm{tanA}=\frac{\mathrm{P}}{\mathrm{B}} \\ \mathrm{cosecA}=\frac{\mathrm{H}}{\mathrm{P}}=\frac{1}{\mathrm{sinA}} \\ \mathrm{secA}=\frac{\mathrm{H}}{\mathrm{B}}=\frac{1}{\mathrm{cosA}} \\ \mathrm{cotA}=\frac{\mathrm{B}}{\mathrm{P}}=\frac{1}{\mathrm{tanA}} \end{gathered}$$

Therefore, these are the formulas of trigonometric functions.