the value of tan 10°× tan 20°× tan 30°× tan 45°× tan 60°× tan 70°× tan 80°.
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tan 10×tan 80×tan 20×tan 70×tan 30×tan 60×tan 45
=
cot (90-10)×tan 80×cot (90-20)×tan 70×cot (90- 30)×tan 60×tan 45
=
cot 80×tan 80×cot 70×tan 70×cot 60×tan 60×tan 45
=1 [since tan 45°=1 & tan x×cot x=1]
Hope this helps : )
=
cot (90-10)×tan 80×cot (90-20)×tan 70×cot (90- 30)×tan 60×tan 45
=
cot 80×tan 80×cot 70×tan 70×cot 60×tan 60×tan 45
=1 [since tan 45°=1 & tan x×cot x=1]
Hope this helps : )
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