Question

If tan A 5/12 find the other trigonometric ration of the Angel A

Answer 1

Solution:-

Given:-

$\sf \to \: \tan A = \dfrac{5}{12}$

We know that

$\sf \to tanA = \dfrac{p}{b}$

We Know

$\sf \to \: p = 5,b = 12 \: \: and \: \: h = x$

Using Pythagoras theorem

$\sf \to \: h^{2} = {p}^{2} + {b}^{2}$

$\sf \to \: {h}^{2} = {5}^{2} + {12}^{2}$

$\sf \to \: h = \sqrt{25 + 144}$

$\sf \to \: h = \sqrt{169} = 13$

We get

$\sf \to \: p = 5,b = 12 \: \: and \: \: h = 13$

Now we get

$\sf \to sinA= \dfrac{p}{h} = \dfrac{5}{13}$

$\sf \to \: cosA = \dfrac{b}{h} = \dfrac{12}{13}$

$\sf \to \: tan A = \dfrac{p}{b} = \dfrac{5}{12}$

$\sf \to \: cosecA = \dfrac{h}{p} = \dfrac{13}{5}$

$\sf \to \: secA = \dfrac{h}{p} = \dfrac{13}{12}$

$\sf \to \: cotA = \dfrac{b}{p} = \dfrac{12}{5}$