1.

if sinA = 3/5 then what is the value of tanA + cosA?1. 31/202. 23/203. 21/204. 19/20

Answer» 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



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