prove (1+tanx)(1+tany)=2 if x+y=45°


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Question Number 59683 by ranusahu last updated on 13/May/19

$p r o v e (1 + t a n x) (1 + tany) = 2 i f x + y = 45 °$
	Answered by tanmay last updated on 13/May/19

	$(1 + t a n x) (1 + t a n (\frac{π}{4} - x))$ $(1 + t a n x) (1 + \frac{1 - t a n x}{1 + t a n x})$ $(1 + t a n x) (\frac{2}{1 + t a n x})$ $2$
	Commented by ranusahu last updated on 14/May/19

	$thankyou$
	Commented by tanmay last updated on 14/May/19

	$m o s t w e l c o m e$
	Answered by Askash last updated on 20/May/19

	$(1 + t a n x) {1 + t a n (45 ° - x)}$ $(1 + t a n x) (\frac{1 + t a n 45 ° - t a n x + t a n x}{1 + t a n x})$ $2$
	Answered by Askash last updated on 20/May/19

	$(1 + t a n x) {1 + t a n (45 ° - x)}$ $(1 + t a n x) (\frac{1 + t a n 45 ° - t a n x + t a n x}{1 + t a n x})$ $2$
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