Question

given tan A= 4/3,find the other trignometric ratios of the angle A​

Answer 1

Answer:

hyp = 5

opp = 3

adj = 4

Step-by-step explanation:

sin A = 4/5

cosec A = 5/4

cosA = 3/5

secA=5/3

tan A = 4/3

cotA=3/4

Answer 2

Answer:-

$\large\sf{We\:know\:that,}$

$\small\sf{tanA=\frac{BC}{AB}=\frac{4}{3}}$

$\large\sf{Now,using\:Pythagoras\:theorem}$

$\small\sf{{AC}^{2}={AB}^{2}+{BC}^{2}}$

$\longrightarrow$$\small\sf{{(4)}^{2}+{(3)}^{2}}$

$\longrightarrow$$\small\sf{{25}^{2}}$

$\longrightarrow$$\small\sf{AC=5}$

Now, we can write all trignometric ratios using their definitions:

$\small\sf{SinA=\frac{BC}{AC}=\frac{4}{5}}$

$\small\sf{CosA=\frac{AB}{AC}=\frac{3}{5}}$

$\small\sf{CotA=\frac{1}{TanA}=\frac{3}{4}}$

$\small\sf{CosecA=\frac{1}{SinA}=\frac{5}{4}}$

$\small\sf{SecA=\frac{1}{CosA}=\frac{5}{3}}$