Question

the value of tan 10×tan 20×tan 30× tan45×tan 60×tan 70 ×tan 80

Answer 1

tan80°= cot10°

therefore tan80°= 1/tan10°

similarly we can find value of

tan70°= 1/tan20°

tan60= 1/tan30°

tan50°= 1/tan40°

put values

and the answer will be 1

Hope this helps you :)

Answer 2

HEY MATE!!!
The answer to your question is:

tan10=cot(90-10)=cot 80=1/tan80
similarly
tan20=1/tan70
tan30=1/tan60
ATQ
tan10×tan20×tan30×tan45×tan60×tan70×tan80
=>1/tan80×1/tan70×1/tan60×tan45×tan60×tan70×tan80
1×1×1×tan45
=1[ tan 45=1]
HOPE IT HELPS YOU!!...