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| 1. |
If tan A=cot B, then find A+B. |
| Answer» {tex}\\tan A = \\cot B{/tex}{tex}\\Rightarrow \\tan A = \\tan \\left( 90 ^ { \\circ } - B \\right) \\quad \\because \\tan \\left( 90 ^ { \\circ } - \\theta \\right) = \\cot \\theta{/tex}{tex}\\Rightarrow A = 90 ^ { \\circ } - B \\quad \\quad \\quad \\because A \\text { and } 90 ^ { \\circ } -B{/tex}\xa0are both acute angles{tex}\\Rightarrow A + B = 90 ^ { \\circ }{/tex} | |