Question

If 4tan a=3then prove that sin a×cos a=12upon 25​

Answer 1

Step-by-step explanation:

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Answer 2

Step-by-step explanation:

4 tan a =3

tan a = (3/4)

Since, tan ¤ = (p/b)=(3/4)

=》p=3 ;b=4;h=?

By Pythagoras Theorem :

h²=p²+ b²

h²=9+16=25

h=5

Since,

sin a=(p/h)=3/5

cos a=(b/h)=4/5

LHS = sin a×cos a=((3/5)×(4/5))

=12/25=RHS

Since, LHS=RHS

(Hence, Proved)