2tanx/1 - tan2x + 1/ 2 cos2x -1= cosx + sinx/ cosx - sinx

is proved

Solution:

Given that,

Let us first solve the L.H.S

 --- (1)

By trignometric identities,

By using these in (1) we get,

By definition of tan,

Therefore,

 --- (ii)

By trignometric identities,

By using these in (ii)

 ----- (iii)

We know that,

Similarly,

Also,

Similarly,

Therefore apply these in (iii)

Cancel out (cos x + sin x) on numerator and denominator

Thus L.H.S = R.H.S

Thus proved

fist on the left goes with the third on the right. second on the left goes with the fourth on the right. third on the left goes with the second on the right. the fourth on the left goes with first on the right

step-by-step explanation:

de-gf

hj=3x+20

ji=15x-64