prove-1-tanx-1-tany-2-if-x-y-45-

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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