Question
If $\tan\text{A}=\cot\text{B},$ then A + B = _________.
✓
Answer
$\tan\text{A}=\cot\text{B},$ $\frac{\sin\text{A}}{\cos\text{A}}=\frac{\cos\text{B}}{\sin\text{B}}$ $\sin\text{A}\sin\text{B}=\cos\text{A}\cos\text{B}$ $\cos\text{A}\cos\text{B}=\sin\text{A}\sin\text{B}=0$ $\cos(\text{A}+\text{B})=0$ $\cos(\text{A}+\text{B})=\cos90^\circ$ $(\text{A}+\text{B})=90^\circ$
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