Question

If sin x =3/5, and 0<x<π/2, find the value of tan x/2​

Answer 1

${ \huge{ \red{given}}}$

${ \large{sin \: x = \frac{3}{5} }}$

$sin \: x = \frac{p}{h}$

Let P= 3y

and, H=5y

${b}^{2} = {h}^{2} - {p}^{2} \\ \\ {b}^{2} = {(5y)}^{2} - {(3y)}^{2} \\ \\ {b}^{2} = 25 {y}^{2} - 9 {y}^{2} \\ \\ \\ b = \sqrt{16 {y}^{2} } \\ \\ b = 4 y$

$tan \: x = \frac{p}{b} \\ \\ tan \: x = \frac{3y}{4y} \\ \\ tan \: x = \frac{3}{4}$

Points to remember

• Write the correct formula
• Apply the formula correctly
• Solve step by step
• Verify the answer at last, if required.

Answer 2

Step-by-step explanation:

tan x = 3/4 ✔️✔️✔️✔️✔️✔️✔️✔️✔️✔️