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Sin A = 4
5
We know,
Sin = Perpendicular = 4
Hypotenuse 5
Now,
According to Pythagoras Theorem
(Hypotenuse)² = (Perpendicular)²+(Base)²
=> (Base)² = (Hypotenuse)² - (Perpendicular)²
=> (Base)² = (5)² - (4)²
=> (Base)² = 25 - 16
=> (Base)²= 9
=> Base = 3 units
Now,
Cos A = Base = 3
Perpendicular 5
Tan A = Perpendicular = 4
Base 3
According to the problem
SinA - CosA
TanA
= 4 - 3
5 5
4
3
= 4-3
5
4
3
=1
5
4
3
=1 × 3
5 4
=3 (Ans)
20
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