Rewrite the expression (tan A)(cot A) in terms of a single trigonometric ratio.
looks like "homework dumping" to me
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To rewrite the expression (tan A)(cot A) in terms of a single trigonometric ratio, we can use the identity:
tan A = 1 / cot A
Thus, we can substitute this identity into our expression:
(tan A)(cot A) = (1 / cot A)(cot A)
Now, the cot A terms cancel out:
= 1
Therefore, the expression (tan A)(cot A) simplifies to 1.