Question

Prove that Tan10 +tan35+tan10+tan35=1

Answer 1

I think the question should be
Tan10+tan35+tan10tan35=1
The solution is in the attachment:

Answer 2

There is a correction.
The question is tan 10 + tan 35 + tan 10 tan 35 = 1

We know that -
tan (A+B) = tan A + tan B/1 - tan A tan B

tan 45° = tan ( 10 + 35)
1 = tan 10 + tan 35/ 1 - tan 10 tan 35
1 - tan 10 tan 35 = tan 10 + tan 35
tan 10 + tan 35 + tan 10 tan 35 = 1

Hope This Helps You!