Chapter 9 Formulas

Question 1

reciprocal functions csc(x)

Answer 1

csc(x)=1/sin(x)

Question 2

reciprocal functions sec(x)

Answer 2

sec(x)=1/cos(x)

Question 3

repiprocal functions cot(x)

Answer 3

cot(x)=1/tan(x)

Question 4

tangent identities tan(x)

Answer 4

tax(x)=sin(x)/cos(x)

Question 5

cotangent identities

Answer 5

cot(x)=cos(x)/sin(x)

Question 6

Pythagorean identities, sin and cos

Answer 6

sin^2(x)+cos^2(x)=1

Question 7

Pythagorean identities tan

Answer 7

1+tan^2(x)=sec^2(x)

Question 8

Pythagorean identities cot

Answer 8

1+cot^2(x)=csc^2(x)

Question 9

cofunction identities

Answer 9

sin(2/π−x)=cos(x)
tan(2/π−x)=cot(x)
sec(2/π−x)=csc(x)

Question 10

sin sum and difference formulas

Answer 10

sin(a+b)=sin(a)cos(b)+cos(a)sin(b)
sin(a−b)=sin(a)cos(b)−cos(a)sin(b)

Question 11

cos sum and difference formulas

Answer 11

cos(a+b)=cos(a)cos(b)−sin(a)sin(b)
cos⁡(𝑎−𝑏)=cos(⁡𝑎)cos(⁡𝑏)+sin(⁡𝑎)sin(⁡𝑏)