Question

Find the value of 아
Tan 5° xn 25 x Tan 30°x
Tan 65°x Tan 85°​

Answer 1

Tan 5 = tan(90-85) = cot85

Tan 25 = Tan(90-65) = Cot65

Tan5 Tan25 Tan30 Tan 65 Tan85  

⇒ Cot85 Cot 65 Tan30 Tan65 Tan85

⇒ Tan 30 (Since Cot85*Tan85 = 1 and Cot65*Tan65 = 1)

⇒  

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