if 3tanA = 4. Then find sinA
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Given
- 3tanA = 4
To find
- sinA
Solution
⇒ 3tanA = 4
⇒ tanA = 4/3
(tanθ = perpendicular/base)
- P = 4
- B = 3
Applying Pythagoras theorem
H² = B² + P²
⇒ H² = (3)² + (4)²
⇒ H² = 9 + 16
⇒ H² = 25
⇒ H = √25
⇒ H =™5
Now, finding the value of sinA
(sinθ = perpendicular/height)
⇒ sinA = P/H
- P = 4
- H = 5
⇒ sinA = 4/5
★ Hence, the value of sinA is 4/5
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