Question

If sinθ = 3/5, then find the value of tanθ.
1. 4/5
2. 3/5
3. 3/4
4. 4/3

Answer 1

Correct Answer - Option 3 : 3/4

Given:

sinθ = 3/5

Concept used:

In a right-angled triangle

sinθ = Perpendicular/hypotenuse

tanθ = perpendicular/base

Pythagoras theorem

H² = P² + B²

Calculation:

H² = P² + B²

⇒ B² = 5² - 3²

⇒ B² = 25 – 9

⇒ B² = 16

⇒ B = 4

⇒ tanθ = 3/4

∴ The value of tanθ is 3/4.