Question

Prove that if tan A =3/4 ,then sin A cos A = 12 /25

Answer 1

Step-by-step explanation:

tanA=3/4

tan^2 A=9/16

sec^2 - 1=9/16

sec^2=25/16

sec=5/4

sec=1/cos

tan=3/4

sin/cos=3/4

sin×5/4=3/4

sin=3/5

cos=4/5

sin A×cos A=4/5×3/5=12/25