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

Question.

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


Solution:

tan A = cot B

tan A = tan (90°–B)

$\therefore \mathrm{A}=90^{\circ}-\mathrm{B}$

A + B = 90°
NCERT Solutions Class 10 Math Chapter 8 - Introduction to Trigonometry

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