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Question
If A + B = 90°, then the value of tan2 A – cot2 B is ______.
Fill in the Blanks
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Solution
If A + B = 90°, then the value of tan2 A – cot2 B is 0.
Explanation:
B = 90° – A, so cot B = cot (90° – A) = tan A.
Therefore tan2 A – cot2 B = tan2 A – tan2 A = 0.
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