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प्रश्न
Show that tan 48° tan 23° tan 42° tan 67° = 1
Evaluate the following: tan 48° tan 23° tan 42° tan 67°
उत्तर
tan 48° tan 23° tan 42° tan 67°
= tan (90° − 42°) tan (90° − 67°) tan 42° tan 67°
= cot 42° cot 67° tan 42° tan 67°
= (cot 42° tan 42°) (cot 67° tan 67°)
= (1) (1)
= 1
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