Question

Answer the following question step by step :- tan 10°× tan20°× tan 30°× tan 40°× tan 50°× tan 60°× tan 70°× tan 80° =

Answer 1

Answer:

1

For explaination , please refer to the attachment .

Note:

★ sin(90° - ∅) = cos∅

★ cos(90° - ∅) = sin∅

★ tan(90° - ∅) = cot∅

★ cot(90° - ∅) = tan∅

★ cosec(90° - ∅) = sec∅

★ sec(90° - ∅) = cosec∅

★ tan∅ = sin∅/cos∅

★ cot∅ = cos∅/sin∅

★ cot∅ = 1/tan∅

★ tan∅•cot∅ = 1