Simplify tan2 - - cot2 - if tan - - cot - - -

tanα+α=α (tanα+α)^2=α^2 tan^2α+^2α+2tanαα=α^2 tan^2α+^2α=α^2 2 ...

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Functions

Simplify ta...

Question

Simplify $t a n^{2} α + c o t^{2} α$ if tan $α + c o t α = α$ .

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Solution

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\frac{1 + t a n α + t a n^{2} α}{1 + c o t α + c o t^{2} α} = t a n^{2} α .

α

(s i n α + c o s e c α)^{2} + (c o s α + s e c α)^{2} - (t a n^{2} α + c o t^{2} α)

α = 3 tan β

{tan}^{2} (α - β)

c o t α + c o t (60^{\circ} + α) - c o t (60^{\circ} - α) = 3 c o t 3 α

sec α = \frac{5}{4}

\frac{tan α}{1 + {tan}^{2} α} = \frac{sin α}{sec α}

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