Question

if tan A =4, then find sin A and Cos A​

Answer 1

Answer:

tanA = 4/1

=> using Pythagoras law => c² = 4²+1² = 16+1 = 17

=> c =√17

=> sinA = 4/√17 , cosA = 1/√17

Answer 2

Step-by-step explanation:

if tan A = 4

we know that, tan A= Sin A/Cos A

Tan A = perpendicular/base

tan A = 4k/1k

using Pythagoras theorem

hypotenuse = √per.²+base²

hypo. = √(4k)²+(1k)²

hypo. = √16k²+1k²

hypo = √17k²

hypo= k√17

Sin A = per/hypo

sin a= 4k/k√17

sin A = 4/√17

similarly

cos A = base/hypo

cos a = k/k√17

cos a = 1/√17