( frac an v sin v an v+sin v=frac an v-sin v an v sin v )

Transcript

00:01 In this problem, it is asked to prove tan v, sine v upon tan v plus sine v equals to tan v minus sine v upon tan v sine v.

00:18 All right.

00:19 So now can we write letters take let us take lhs first.

00:27 We don't know about the rhs but we will we will make changes in the equation according to the right hand side equation.

00:36 Also which we want to prove so how we will do this this will be tan v sign v by can v plus sine way right so it will be can we multiply it multiply and divide uh tan v minus sine v why because we don't we are in multiplication right now tan v sine v so how we will get to know that uh this will come in this form so we need to multiply and divide so we need to multiply and divide so we are just multiplying and divide.

01:14 So there will be no problem with the values.

01:17 Because we are multiplying and divide with the same value.

01:21 So it will come out to be one only.

01:24 So we can do so.

01:26 So now let us multiply and divide this lhs with tan v minus sine b divided.

01:35 Divided by tan v minus sine b.

01:44 Okay.

01:47 And now how can we write this? we know that this is actually the equation for a plus b.

01:55 We can say that since a plus b a minus b gives us a square minus b squared.

02:05 So we are we are writing here in that way.

02:10 So tan v, sine v, tan v minus sine v.

02:21 Divided by tan square v minus sine square v...

Question

( frac{ an v sin v}{ an v+sin v}=frac{ an v-sin v}{ an v sin v} )

Question

( frac{ an v sin v}{ an v+sin v}=frac{ an v-sin v}{ an v sin v} )

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