1. Name: ___________________________
Verifying Trigonometric Identities
1. 2. (1 - cos2(y))(1 + cot2(y)) = 1
3
= 3csc(φ) + 3cot(φ)
csc(φ) − cot(φ)
3. (csc2(β))(cos2(β) - 1) = -1 4. 1 1
+ = cot(u) + tan(u)
cot(u) tan(u)
5. sec(y)cot(y) 6. 1 + tan(φ) cot(φ) + 1
= sec(y)csc(y) =
cos(y) 1 − tan(φ) cot(φ) − 1

2. 7. sin2(θ) - cos2(θ) = 2sin2(θ) - 1 8.
1 1
+ = 2sec2(y)
1 + sin(y) 1 − sin(y)
9. cos(α)sec(α) - cos2(α) = sin2(α) 10 tan(β) + cot(β) = sec(β)csc(β)
.
1 (4 - 4cos(θ))(1 + cos(θ)) = 4sin2(θ) 12 1 1
1. . + = 1
tan(x) + 1 cot(x) + 1