Question

find value of tan35tan40tan45tan50tan55

Answer 1

HEYA MATE, HERE IS UR ANSWER

$<b><i>Tan 35×Tan40×Tan 45 ×Tan 50× Tan 55$

Now we have to use the identity cot A=Tan (90-A)

Tan 35×Tan 55 ×Tan 40 × Tan 50× Tan 45

=Tan(90-55)×Tan 55×Tan (90-50)×Tan 50×Tan 45

=Cot 55×Tan55×Cot 50× Tan 50×Tan 45

we know that Cot A=1/Tan A

Therefore,

=$\frac{1}{Tan55}$×Tan 55×$\frac {1}{Tan50}$×Tan 50×Tan 45

=Tan 45

=1.

Warm regards

@laughterqueen


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