Question

evaluate this .........​

Answer 1

Step-by-step explanation:

tanQ= Cot(90-Q)...(1)

LHS=

Tan1*Tan2*Tan3...Tan45....Tan87*Tan88*Tan89

Cot(90-1)*Cot(90-2)*Cot(90-3)... Tan45... Tan87*Tan88*Tan89 (from 1)

Cot89*Cot88*Cot87.... Tan45*... Tan 87*Tan88*Tan89

Also cotQ=1/TanQ....(2)

1/Tan89*1/Tan88*1/Tan87.... Tan 45... Tan87*Tan88*Tan89

1*Tan45*1 (because 1/tan85 got cancelled by tan 85... Similarly, all the numbers got cancelled.)

Also Tan45=1....(3)

1*Tan45*1 ( From 3)

=1

= RHS

Hence Proved.

Hope it helped!

Jai Hind!

Answer 2

Answer:

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