Question

Prove that tan69°+tan66°÷1-tan69°tan66°=1

Answer 1

Step-by-step explanation:

taking L.H.S

( tan69 + tan 66 ) / 1 - tan 69 tan 66

on comparing it with the formula

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

so,

we have,

tan ( 69 + 66) = tan 135

we can write it as,

tan ( 180 - 45 )

-tan 45

- 1

hope you like it