Question

Solve tan5° tan15° tan60° tan75° tan85°=

Answer 1

Step-by-step explanation:

By the problem:

tan5°tan15°tan60°tan75°tan85°

by rearranging, we get.

tan5°tan85°tan15°tan75°tan60°

since tan(90-A) = CotA,

tan(90-85)°tan85°tan(90-75)°tan75°tan60°

now we get,

Cot85°tan85°Cot75°tan75°tan60°

Since Cot=1/tan

1/tan85°tan85°1/tan75°tan75°tan60°

1*1*tan60°

now tan60°= √3, so,

1*1*√3

= √3. (ANSWER)

hope you understand.

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