Question

tan10° + tan35° + tan10°.tan35º = 1
prove the following⬆️​

Answer 1

Answer:

Step-by-step explanation:

Given :-

tan10° + tan35° + tan10°. tan35º = 1

To Prove :-

tan10° + tan35° + tan10°. tan35º = 1

Formula to be used :-

We know that :-

tan (A+B) = tan A + tan B/1 - tan A tan B

Solution :-

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

Hence Proved.

Answer 2

Answer:

Step-by-step explanation:

10+35=45

tan on both sides

tan(10+35)=tan 45

tan 10+tan 35/1-tan10tan35=tan45

tan 10+tan 35=tan45-tan45tan10tan35

tan 10+tan 35+tan45tan10tan35=tan45

tan10+tan35+tan10tan35=1