Question

tanA=4/3 find value sinA and cosA solve the question in detail

Answer 1

TanA=opp. Side/ adjacent side
TanA=4/3
While comparing we get
Opp. Side =4 and adj. Side=3
By Pythagoras theorem
4^2+3^2=hypo.^2
16+9=25
Hypo=√25=5
We know that
SinA=opp.side/hypo.
SinA=4/5
And
cosA=adj.side/hypo.
cosA=3/5

Answer 2

Tan A = 4/3

=> Sec² A = 1 + 4²/3²
                 = (3² + 4²)/3²
                 = 25/3²

=> Sec A = +5/3  or  -5/3
=>  Cos A = 3/5 or -3/5
=> Sin A = Cos A * Tan A
               =  4/5  or   - 4/5