Question

tan 50degre= tan 40 degree +2tan 10 degree

Answer 1

Answer:

Step-by-step explanation:

Tan50 = Tan40+ 2Tan10

//rewrite it as below

=> Tan50 - Tan40 = 2Tan10.

L.H.S:

//Remember: Tan (A-B) = TanA - TanB / 1+TanATanB

//Also: Tan50 = Cot (90-50) = Cot40 = 1/Tan40.

Tan50 - Tan40 = Tan(50-40)[1+Tan40Tan50]

=> Tan10 [1+Tan40Tan50]

=> Tan10 (1 +1)

=> 2Tan10

=> R.H.S

Hence proved

=