Pre-Cal

Write the trigonometric expression in terms of sine and cosine, and then simplify.

1). (csc θ − sin θ)/(cos θ)

____________.

2). Simplify the trigonometric expression.

(cos u + 1)/(sin u) +
(sin u)/(1 + cos u)

______________.

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  2. 👎
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  1. (csc θ − sin θ)/(cos θ)
    (1/sin- sin^2/sin)/cos

    (1-sin^2)*sin/cos
    cos^2*sin/cos
    cos*sin

    :(cos+1)/sin + sin/(1+cosu)

    common denominaator:sin(1+cos)

    1+2cos+cos^2 + sin^2 all over denominator

    2(1+cos)/sin(1+cos)

    2/sinU
    check that.

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    2. 👎
    👤
    bobpursley
  2. (csc θ − sin θ)/(cos θ)
    = (1/sinθ - sinθ)/cosθ
    = (1-sin^2θ)/(sinθ cosθ)
    = cos^2θ/(sinθ cosθ)
    = cosθ/sinθ
    = cotθ

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