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

answer: a. 13/44

step-by-step explanation: judging by the information given to us, we are looking for experimental probability. we can see that 13 males have chosen chocolate ice cream. there are 44 ice creams in total (remember that the total is always the denominator). so our answer is 13/44.