Question

Prove it with steps....​

Answer 1

Answer:

convert tan into sin/cos

Step-by-step explanation:

refer the attachment

hope it helps

Answer 2

|| ANSWER ||

→ 1 / tanA - tanB

→ 1c/ (1 / cotA - 1 / cotB)

→ cotAcotB / ( cotB - cotA )

Putting This in Question now, we get,

→ cotAcotB/(cotB-cotA) - 1/(cotB-cotA)

→ (cotAcotB - 1)/(cotB-cotA)

Now, we know that, (cotXcotY - 1)/(cotB-cotA) = cot(A + B)

Hence,

→ (cotAcotB - 1)/(cotB-cotA)

→ cot(A + B) Proved.

NOTE :-

Whenever we wanna prove that a equation is true or an identity is true ,we have two ways:-

1. Find one side of equal to sign from another side and hence they will be considered equal.

2. Simplify both Left Hand Side(LHS) and Right Hand side(RHS) until both of them become same. Then LHS will be equal to RHS which is written as : LHS= RHS i.e identity or mathematical approved fact is true.

3. Hence , LHS=RHS signifies that both sides are equal to each other as one can be derived from another by some suitable mathematical operations