Mathematics
Evaluate : tan 25° tan 65° - cot 25° cot 65°.
Trigonometrical Ratios
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Answer
= tan 25° tan 65° - cot 25° cot 65°
= tan (90° - 65°) tan 65° - cot (90° - 65°) cot 65°
= cot 65° tan 65° - tan 65° cot 65°
= 1 - 1
= 0
Hence, the value of tan 25° tan 65° - cot 25° cot 65° = 0.
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