Question

If 3 tanA=4,then find sinA and cosA​

Answer 1

Answer:

Given,

3TanA=4

TanA=4/3

TanA=opposite side to A/ adjacant side to A

sinA= opposite side to A/ hypotenuse

cosA= adjacent side to A/Hypotenuse

hence, hypotenuse be x

by using phytagoras theorm

hypotenuse ²= opposite to A ²+adjacent side A²

x²=4²+3²

x²=16+9

x²=25

x=5

hence hypotenuse =5

then

sinA=opposite side to A/hypotenuse

=4/5

cosA= adjacent side of A /hypotenuse

=3/5

sinA=4/5 CosA=3/5

here is your answer