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3 September, 21:24

Simplify the expression cos (x) cot (x) + sin (x)

a. 0

b. csc (x)

c. tan (x)

d. sec (x)

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Answers (1)
  1. 3 September, 23:22
    0
    csc (x)

    Step-by-step explanation:

    cos (x) cot (x) + sin (x)

    We know that cot (x) = cos (x) / sin (x)

    cos (x) cos (x) / sin (x) + sin (x)

    cos^2 (x) / sin + sin (x)

    Getting a common denominator

    cos^2 (x) / sin + sin (x) * sin (x) / sin (x)

    (cos^2 (x) + sin^2 (x)) / sin (x)

    We know that (cos^2 (x) + sin^2 (x)) = 1

    1/sin (x)

    1 / sin (x) = csc (x)

    csc (x)
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