Question

Write all trigonometric ratio of the angle $A$ in right angle $\Delta ABC$

Answer 1

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(i) Cos A = $\frac{adjecentside}{hypotenuse}$

cos A = $\frac{AB}{AC}$

(ii) Sin A = $\frac{oppositeside}{hypotenuse}$

Sin A = $\frac{BC}{AC}$

(iii) tan A = $\frac{oppositeside}{adjecentside}$

$\Rightarrow$ tan A $=\frac{BC}{AB}$

(iv) cot A = $\frac{adjacentside}{oppositeside}$

cot A = $\frac{AB}{BC}$

(v) secent A = $\frac{hypotenuse}{adjacentside}$

secent A = $\frac{AC}{AB}$

(vi) cosec A = $\frac{hypotenuse}{oppositeside}\Rightarrow cosecA=\frac{AC}{BC}$