Verifying Identities

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)

5.

6.

sec(y)cot(y)

1 + tan(φ)

= sec(y)csc(y) cos(y)

= cot(u) + tan(u) tan(u)

cot(φ) + 1 =

1 − tan(φ)

cot(φ) − 1

7.

sin2(θ) - cos2(θ) = 2sin2(θ) - 1

8.

1

1 = 2sec2(y)

+ 1 + sin(y)

9.

cos(α)sec(α) - cos2(α) = sin2(α)

10 .

11 .

(4 - 4cos(θ))(1 + cos(θ)) = 4sin2(θ)

12 .

1 − sin(y)

tan(β) + cot(β) = sec(β)csc(β)

1

1 +

tan(x) + 1

= cot(x) + 1

1