Question

tan 10 tan 20 tan 40 tan tan 50 tan 70 tan 80​

Answer 1

Answer:

0.017455809

Step-by-step explanation:

tan10 tan20 tan40 tan tan50 tan70 tan80

=0.017455809

Answer 2

Answer:

tan10°tan20°tan40°tan50°tan70°tan80°

= tan(90 - 10)° × tan(90 - 70)°× tan( 90 - 50)° × tan50° tan70tan80

= cot80 cot70 cot50 tan50 tan70 tan80

= (cot80 tan80) ( cot70tan70)( cot50tan50)

= 1 × 1 × 1

= 1.

formula

tanß× cotß = 1

and

tan(90° - ß) = cotß.

and cot(90° -ß) = tanß.

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