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