MATH 107 – Homework 7

Verifying Identities Assignment
Directions: Please work the following problems on a separate sheet of paper and turn it in at the
beginning of class on Monday 03/09/20.
1. Verify the following identities.
(a) sec θ+tan θ
cot θ+cos θ = tan θ sec θ
(b) 3 sin2
θ + 4 cos2
θ = 3 + cos2
θ
(c) 1+sin x
cos x =
cos x
1+sin(−x)
(d) cos(x + y) cos(x − y) = cos2 x − sin2
y
(e) cos(A+B)
cos A cos B = 1 − tan A tan B
(f) sin(3x) = 3 sin x cos2 x − sin3 x
(g) tan(2θ) = 2 tan θ
1−tan2 θ
(h) tan x
sec x
sin(−x) = cos2 x