- -(24/5)
- -(24/7)
- -(21/8)
- -(22/7)

Option 2 : -(24/7)

**Given:**

Sinθ = 4/5

**Formula used:**

tan2θ = 2tanθ/(1 - tan^{2}θ)

**Calculations:**

sinθ = 4/5

tanθ = 4/3 (tanθ = perpendicular/base)

So,

tan2θ = [(4/3) + (4/3)]/[(1 - (4/3)^{2}]

⇒ (8/3)/[1 + (16/9)]

⇒ (8/3)/[(9 - 16)/9]

⇒ (8/3)/(-7/9)

⇒ -(24/7)

**∴ -(24/7) will be the value of tan2θ **

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