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1+tan60°+tan30°%tan60°+tan30° |
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Answer» 1+ tan 60° + tan 30° x tan 60° + tan 30° = (1 + tan 30°) (1 + tan 60°) = (1 + tan 30°) (1 + cot 30°) .....(1) (∵ tan (90 - θ) = cot θ) If you are asking for values the put tan 30° = \(\frac{1}{\sqrt 3}\) & cot 30° = \(\sqrt{3}\) ∴ 1+ tan 60° + tan 30° x tan 60° + tan 30° = (1 + \(\frac{1}{\sqrt 3}\)) (1 + \(\sqrt{3}\)) (From (1)) = \(\frac{(\sqrt3+1)^2}{\sqrt3}\) = \(\frac{3+1+2\sqrt3}{\sqrt3}\) = \(\frac{4}{\sqrt 3}\) + 2 |
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