Question

24. Show that tan 48°tan 23°tan 42°tan 67°= 1.​

Answer 1

Hey mate ,

Tan 48 can be written as Cot (90-48)

= Cot 42

similarly

tan 23 can be written as Cot ( 90-23 )

= cot 67

Thus ,

Tan42×Cot42×tan67×cot67

= 1

As Cot theta = 1/tan theta

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