Question

vqlueof tan tan1 tan2 tan3.......tan89

Answer 1

ans is one
(1)

after tan 45

convert tan 46 in cot(90-46)=cot 44

and so on

see this

tan1 tan2....tan45,cot44,cor43,......cot 1

u know tan *cot=1

so tan*cot*tan45
1*1 (because tan 45 is 1)

=1(one)

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Answer 2

=tan1×tan2×tan3............tan(90-87)×tan(90-88)×tan(90-89)

=tan1×tan2×tan3............cot3×cot2×cot1.............(cot is complement of tan)

=tan1×tan2×tan3............1/tan3×1/tan2×1/tan1 ........(cot means 1/tan)

=1 .....( all tan gets cancelled)




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