Without using trigonometric tables prove that tan 1 degree tan 11 degree tan 21 degree tan 69 degree tan 79 degree tan 89 degree=1
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tan1°tan11°tan21°tan69°tan79°tan89°
(tanθ=1/cotθ)
⇒tan1°.tan11°.tan21°.1/cot69°.1/cot79°.1/cot89°
cot(90-θ)=tanθ
⇒tan1°.tan11°.tan21°.1/tan1°.1/tan11°.1/tan21°
= 1
how 1 was came
(tan*1tan11*tan21)/(tan1*tan11*tan21)=1
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