Chapter 10 Test

Question 1

cos (x - y) = ?

Answer 1

cos(x)cos(y) + sin(x)sin(y)

Question 2

cos (x + y) = ?

Answer 2

cos(x)cos(y) - sin(x)sin(y)

Question 3

sin(x - y) = ?

Answer 3

sin(x)cos(y) - cos(x)sin(y)

Question 4

sin(x + y) = ?

Answer 4

sin(x)cos(y) + cos(x)sin(y)

Question 5

tan(x - y) = ?

Answer 5

1 + tan(x)tan(y)

Question 6

tan(x + y) = ?

Answer 6

1 - tan(x)tan(y)

Question 7

sin(2x) = ?

Answer 7

2sin(x)cos(x)

Question 8

cos(2x) = ? *Two answers

Answer 8

cos^2(x) - sin^2(x)

1 - 2sin^2(x)

Question 9

tan(2x) = ?

Answer 9

1 - tan^2(x)

Question 10

sin^2(x) = ? *Two answers

Answer 10

   2

1 - cos^2(x)

Question 11

cos^2(x) = ?

Answer 11

   2

Question 12

tan^2(x) = ?

Answer 12

1 + cos(2x)

Question 13

sin(x/2) = ?

Answer 13

± √[1 - cos(x)]/2

Question 14

cos(x/2) = ?

Answer 14

± √[1 + cos(x)]/2

Question 15

tan(x/2) = ?

Answer 15

± √[1 - cos(x)]/[1 + cos(x)]

Question 16

If angle x is in the Q1, where is x/2?

Answer 16

Q1

Question 17

If angle x is in the Q2, where is x/2?

Answer 17

Q1

Question 18

If angle x is in the Q3, where is x/2?

Answer 18

Q2

Question 19

If angle x is in the Q4, where is x/2?

Answer 19

Q2

Question 20

What are the 3 main idenities?

Answer 20

sin^2(x) + cos^2(x) = 1
1 + tan^2(x) = sec^2(x)
1 + cot^2(x) = csc^2(x)