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Question
Evaluate:
tan 25° tan 65° – cot 25° cot 65°
Evaluate
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Solution
Given: tan 25° tan 65° – cot 25° cot 65°.
65° = 90° – 25°
So, tan 65° = cot 25° and cot 65° = tan 25°.
Therefore, tan 25° · tan 65°
= tan 25° · cot 25°
= 1
And cot 25° · cot 65°
= cot 25° · tan 25°
= 1
The expression = 1 – 1
= 0
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