Question

If `sec θ = 25/7` then sin θ = ?

विकल्प

• `7/25`

• `24/25`

• `7/24`

• `24/7`

Answer 1

`bb(24/25)`

Explanation:

`sec θ = 25/7`

⇒ `cos θ = 7/25`

∴ sin²θ = (1 – cos²θ)

= `(1 - 49/625)`

= `576/625`

⇒ `sin θ = sqrt(576/625)`

⇒ `sin θ = 24/25`