Question

tan48° tan23° tan42° tan67° = 1
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Answer 1

Tan48 tan23 tan42 tan67=1 =tan(90-42)tan(90-67)tan42 tan67 =cot42 cot67 tan42 tan67 =(cot42 tan42)(cot67 tan67) =(1)

Answer 2

Answer:

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L.H.S=

$\tan(48) \tan(23) \tan(42) \tan(67) \\ = \tan(90 - 42) \times \tan(90 - 67) \times \tan(42) \times \tan(67) \\ = \cot(42) \cot(67) \tan(42) \tan(67) \\ = \frac{1}{ \tan(42) } \times \frac{1}{ \tan(67) } \times \tan(42) \times \tan(67) \\ = 1 = RHS$

Step-by-step explanation:

regards:-Manjit❣️

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