Question

If 4 tan theta =3 then find the Value of ( Sin theta Cos theta = 12/15​

Answer 1

Step-by-step explanation:

let theta=A , P =perpendicular , B=base , H =hypotenuse

4 tan A=3

tan A=3/4 (P/B)

(H)*2= (P)*2+(B)*2

=(3)*2+(4)*2

=9+16

=√25=5

Sin A=P/H =3/5

Cos A =B/H=4/5

Sin A ×Cos A

3/5×4/5 = 12/25

Hence proved......

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