If tanA = 4/3, What is the value of
[ SinA + CosA ÷ SinA - CosA]
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EXPLANATION.
tan(A) = 4/3.
As we know that,
Pythagoras Theorem,
⇒ H² = P² + B².
tan∅ = perpendicular/base.
⇒ H² = (4)² + (3)².
⇒ H² = 16 + 9.
⇒ H² = 25.
⇒ H = √25.
⇒ H = 5.
Sin∅ = perpendicular/hypotenuse = 4/5.
Cos∅ = Base/hypotenuse = 3/5.
tan∅ = perpendicular/base = 4/3.
Cosec∅ = hypotenuse/perpendicular = 5/4.
Sec∅ = hypotenuse/base = 5/3.
cot∅ = base/perpendicular = 3/4.
Sin(A) + Cos(A)/Sin(A) - Cos(A).
⇒ 4/5 + 3/5/4/5 - 3/5.
⇒ 7/5/1/5.
⇒ 7/5 X 5/1.
⇒ 7.
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