Question

Guys please tell this question with full explanation.

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Answer 1

Answer:

tanA=sinA/cosA=3/4 (given)

hence sinA=3, cosA=4

1/sinA +1/cosA = 1/3 + 1/4 = 7/12✔️

Answer 2

Answer:

1/sinA + 1/cosA = 35/12

Step-by-step explanation:

Given: tanA = 3/4

w.k.t., tanθ = Perpendicular/Base , sinθ = Perpendicular/Hypotenuse and cosθ = Base/Hypotenuse

⇒ Perpendicular = 3 and Base = 4

w.k.t., (Hypotenuse)² = (Perpendicular)² + (Base)²

⇒ (Hypotenuse)² = 3²+4² = 9+16 = 25

⇒ Hypotenuse = 5

⇒ sinA = 3/5 and cosA = 4/5

⇒ 1/sinA + 1/cosA = 5/3 + 5/4

⇒ 1/sinA + 1/cosA = (20+15)/12

⇒ 1/sinA + 1/cosA = 35/12