Question

Prove that 1-tan32°tan13°-tan32°-tan13°=0​

Answer 1

Explanation:

45=32+13

tan 45=tan(32+13)

`1=(tan~ 32+tan~ 13)/(1-tan ~32 ~tan~ 13) \\cross~multiply \\1-tan 32 ~tan~13=tan ~32+tan~13\\`

or 1-tan 32 tan 13-tan 32-tan 13=0