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how-to-prove-this-1-cos-2-10-o-1-sin-2-20-o-1-cos-2-40-12-




Question Number 7996 by ridwan balatif last updated on 27/Sep/16
how to prove this  (1/(cos^2 10^o ))+(1/(sin^2 20^o ))+(1/(cos^2 40))=12
$${how}\:{to}\:{prove}\:{this} \\ $$$$\frac{\mathrm{1}}{{cos}^{\mathrm{2}} \mathrm{10}^{{o}} }+\frac{\mathrm{1}}{{sin}^{\mathrm{2}} \mathrm{20}^{{o}} }+\frac{\mathrm{1}}{{cos}^{\mathrm{2}} \mathrm{40}}=\mathrm{12} \\ $$
Commented by prakash jain last updated on 27/Sep/16
Commented by prakash jain last updated on 27/Sep/16
Looks like it is not equal to 12.  See attached screenshot from  Wolfram alpha.
$$\mathrm{Looks}\:\mathrm{like}\:\mathrm{it}\:\mathrm{is}\:\mathrm{not}\:\mathrm{equal}\:\mathrm{to}\:\mathrm{12}. \\ $$$$\mathrm{See}\:\mathrm{attached}\:\mathrm{screenshot}\:\mathrm{from} \\ $$$$\mathrm{Wolfram}\:\mathrm{alpha}. \\ $$
Answered by prakash jain last updated on 02/Oct/16
answer in comments
$$\mathrm{answer}\:\mathrm{in}\:\mathrm{comments} \\ $$

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