Question

If $sinx=\frac{12}{37}$ , then what is the value of tan x?

• A. $$\frac{35}{37}$$
• B. $$\frac{35}{12}$$
• C. $$\frac{12}{35}$$
• D. $$\frac{37}{12}$$

Answer 1

Answer:

$$\frac{12}{35}$$

Solution:

Given:

sin x = 12/37

Formula:

(Hypotenuse)² = (Base)² + (Perpendicular)²

sin x = P/H

tan x = P/B

where, Hypotenuse = H, Base = B and Perpendicular = P

Calculation:

sin x = 12/37

⇒ P/H = 12/37

Hence, P = 12 and H = 37

Now,

37² = 12² + B²

⇒ 1369 = 144 + B²

⇒ B² = 1369 - 144

⇒ B = √1225

⇒ B = 35

∴ tan x = 12/35