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Tamil Nadu Board of Secondary EducationHSC Science Class 11

Show that tan(45° − A) = AA1-tanA1+tanA - Mathematics

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Question

Show that tan(45° − A) = `(1 - tan "A")/(1 + tan "A")`

Sum

Solution

tan(45° − A) = `(tan45^circ - tan "A")/(1 + tan45^circ tan "A")`

= `(1 - tan "A")/(1 + tan "A")`

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Trigonometric Functions and Their Properties
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Chapter 3: Trigonometry - Exercise 3.4 [Page 110]

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Samacheer Kalvi Mathematics - Volume 1 and 2 [English] Class 11 TN Board
Chapter 3 Trigonometry
Exercise 3.4 | Q 20. (ii) | Page 110
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