Question

If sint theta =5/13,verify tan^2 theta -sin^2 theta =tan^2*sin^2 theta

Answer 1

Answer:

Verified.

Step-by-step explanation:

sin theta=5/13

So from the trigonometric identities,

tan theta=5/12

(using Pythagoras theorem, all the three sides are obtained)

So, L.H.S.

tan^2 theta - sin^2 theta= (5/12)^2 - (5/13)^2

=(25*25)/(144*169)

R.H.S.

tan^2 theta * sin^2 theta= (5/12)^2 * (5/13)^2

=(25*25)/(144*169)

Hence, L.H.S.=R.H.S.