Exam Prep

Question 1

Sum/Difference Formula: sine

Answer 1

sin(a±b) = sin(a)cos(b) ± cos(a)sin(b)

ORDER OF PLUS/MINUS VITAL

Question 2

Sum/Difference Formula: cosine

Answer 2

cos(a±b) = cos(a)cos(b) -+ sin(a)sin(b)

ORDER OF PLUS/MINUS VITAL

Question 3

Double Angle Formula: sine

Answer 3

sin(2a) = 2sin(a)cos(a)

Question 4

Double Angle Formula: Cosine

Answer 4

cos(2a) = cos^(2)(a) - sin^(2)(b)

Question 5

Tangent properties: domain and period

Question 6

Tangent properties: range

Question 7

Arc-sine properties: domain and period

Question 8

Arc-sine properties: range

Question 9

Arc-cosine properties: domain and period

Question 10

Arc-cosine properties: range

Question 11

Secant properties:
domain/period

Answer 11

ℝ x ≠ (π/2) + kπ
(int values of k)

Question 12

Secant properties: range

Answer 12

(-∞, -1] U [1, ∞)

(+)Looks like parabolas alternating positive, negative, with first vertex at origin

Question 13

Cotangent properties: domain/period

Answer 13

ℝ x ≠ kπ
(int values of k)

Question 14

Cotangent properties: range

Answer 14

ℝ

Question 15

Cosecant properties: domain/period

Answer 15

ℝ x ≠ kπ
(int values of k)
[When sin(x) = 0]

Question 16

Cosecant properties: range

Answer 16

(-∞, -1] U [1, ∞)

(+)Looks like parabolas alternating positive, negative, with first vertex at (π/2)

Question 17

Rational Functions: Identifying holes

Question 18

Rational Functions: Identifying horizontal asymptotes

Question 19

Rational Functions: Identifying Vertical asymptotes

Question 20

Rational Functions: Identifying slant asymptotes