Calculus

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If tan(θ)=−7/2 and sin(θ)<0, then find

(a) sin(θ)=

(b) cos(θ)=

(c) sec(θ)=

(d) csc(θ)=

(e) cot(θ)=

  • Calculus -

    Tan(A) = Y/X = -7/2
    r^2 = X^2 + Y^2 = 2^2 + (-7)^2 = 53, r = sqrt(53).

    a. sin(A) = Y/r = (-7)/sqrt(53) = (-7)*sqrt(53)/53.

    b. Cos(A) = X/r = 2/sqrt(53) = 2*sqrt(53)/53.

    c. sec(A) = 1/Cos(A) = qrt(53)/2.

    d. csc(A) = sqrt(53)/(-7).

    e. cot(A) = 1/Tan(A) = 2//(-7). = - 2/7.

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