Question

if sinA = 3/5 then what is the value of tanA + cosA?
1. 31/20
2. 23/20
3. 21/20
4. 19/20

Answer 1

Correct Answer - Option 1 : 31/20

Given:

It is given that sinA = 3/5

Formula Used:

Basic concept of trigonometric ratio and identities

We know that

Sinθ = Perpendicular/Hypotenuse

Cosθ = Base/ Hypotenuse

Tanθ = Perpendicular/Base

(Hypotenuse)² = (Perpendicular)² + (Base)²

Calculation:

∵ sinA = 3/5

∴ P = 3 and h = 5

Now, by the help of Pythagoras theorem

∴ B² = 25 – 9 = 16

⇒ B = 4

Now we have to find the value of tanA + cosA

∴ tanA + cosA = P/B + B/H = 3/4 + 4/5 = 31/20

Hence, option (1) is correct