Math, asked by kaminipathak, 11 months ago

tan48°.tan23°.tan42°.tan67°=1

Answers

Answered by krishnamanus44

6

Answer:

LHS= tan48°.tan23°.tan42°.tan67°

bring the complementary terms together,

=tan48°.tan42°.tan23°.tan67°

=tan48°. tan(90°-48°). tan23°. tan(90°-23°)

=tan48°.cot48°.tan23°.cot23°

as tan and cot are reciprocals,

= 1x1 = 1 = RHS

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