Write the value of tan 10 tan 20 tan 70 tan 80.
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Answer:1
Step-by-step explanation:
Tan 10tan 20tan 70tan 80
=tan 10tan 80tan 20tan 70
=tan 10 cot(90-10) tan 20 cot(90-20) [tan theta=cot(90-theta)]
So, tan 10×cot 10 × tan 20 × cot 20
=tan 10×1/tan 10 × tan 20×1/tan 20[cot theta= 1/tan theta
So, answer is 1
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