English

If tan A = cot B, prove that A + B = 90°.

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Question

If tan A = cot B, prove that A + B = 90°.

Theorem
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Solution

∵ tan A = cot B

tan A = tan (90° – B)

A = 90° – B

A + B = 90°. Proved

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Chapter 18: Trigonometric Ratios of Some Standard Angles and Complementary Angles - Exercise 18C [Page 380]

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Nootan Mathematics [English] Class 9 ICSE
Chapter 18 Trigonometric Ratios of Some Standard Angles and Complementary Angles
Exercise 18C | Q 13. (i) | Page 380
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