Question

if tan A=3/4,then find the other trigonometric ratio of Angel A​

Answer 1

Step-by-step explanation:

We know that, Sec²A - Tan²A = 1,

Now Sec²A = 1 + 9/16

=> Sec A = 5/4,

Sec A = 1/cosA,

=> Cos A = 4/5,

Tan A = Sin A / Cos A

=> 3/4 = Sin A / 4/5

=> Sin A = 3/5,

Cosec A = 1 / Sin A => 5/3

Cot A = 1 / Tan A => 4/3

Now finally,

Sin A = 3/5,

Cos A = 4/5,

Tan A = 3/4,

Sec A = 5/4,

Cosec A = 5/3,

Cot A = 4/3,

Hope you understand, Have a great day !!

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Answer 2

Answer:

sinA =3/5   ,   cosA =4/5

Step-by-step explanation:

$tanA =\frac{3}{4}$

$\frac{sinA}{cosA} =\frac{3}{4}$

$sinA =\frac{3}{\sqrt{ 3^{2} +4^{2}} }$    and   $cosA =\frac{4}{\sqrt{ 3^{2}+4^{2} } }$

$sinA =\frac{3}{5}$             and   $cosA = \frac{4}{5}$