Simplify the following, tan - x cos - x

Question

Nickolas Byrd

Mathematics

30 August, 11:20

Simplify the following, tan - x cos - x

+1

Answers (1)

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Imani Green · Answer 1

Tan (A) = sin (A) / cos (A)

so

tan (A) * cos (A) = sin (A) / cos (A) * cos (A)

=sin (A) [ by cancelling cos (A) ]

substitute - x for A, then

tan (-x) cos (-x) = sin (-x)

[ provided cos (-x) does not equal zero, i. e. x does not equal (k+1/2) pi where k is an integer ]