Calculus
posted by Rileigh
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)=

Henry
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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