Math, asked by waghsakshi486, 2 months ago

prove that tan 10 ° tan 20 ° tan 30 ° tan 60° tan 70° and tan 80° = 1​

Answers

Answered by arinkumar869
0

Answer:

tan 10 * tan20 * tan30 * tan60 * tan70 * tan80=1

from LHS

=tan(90-80)*tan(90-70)*tan(90-60) *tan60*tan70*tan80

(Since tan(90-theta)=cot theta)

=cot80*tan80*cot70*tan70*cot60*tan60

(since tanA=1/cotA)

=>1=RHS

Hence, LHS=RHS

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