Question

show that : tan 48 .tan 23 .tan 42 .tan 67 = 1​

Answer 1

Answer:

please refer the following attachment

Answer 2

Step-by-step explanation:

We know that, TanA=Cot(90-A)

Here let us convert Tan48 into Cot =Cot42 ---------------------  1

Also,

Convert Tan 63 into Cot = Cot27 --------------------------------2

 put values of 1 and 2 in original equation

⇒   Cot42 . Tan23 . Cot23 . Tan 42 = 1

We also know, TanA . CotA =1

Therefore,

Cot42.Tan42 = 1

and, Tan23.Cot23 = 1

So, in original/given equation

⇒ 1 .1 = 1

⇒ 1