formulas for chapter 5

Question 1

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

Answer 1

1

Question 2

1-cos^2x=

Answer 2

sin^2x

Question 3

1-sin^2x=

Answer 3

cos^2x

Question 4

sec^2x - tan^2x =

Answer 4

1

Question 5

1 + tan ^2x =

Answer 5

sec^2x

Question 6

sec^2x-1=

Answer 6

tan ^2x

Question 7

csc^2x - cot^2x =

Answer 7

1

Question 8

1 + cot^2x=

Answer 8

csc^2x

Question 9

csc^2x - 1=

Answer 9

cot^2x

Question 10

cos (-x)=

odd or even

Answer 10

cosx

even

Question 11

sec (-x) =

odd or even

Answer 11

secx

even

Question 12

sin (-x) =

odd or even

Answer 12

-sinx

odd

Question 13

tan (-x) =

odd or even

Answer 13

-tanx

odd

Question 14

csc (-x) =

odd or even

Answer 14

-cscx

odd

Question 15

cot (-x)

odd or even

Answer 15

-cotx

odd

Question 16

cos ( Π/ 2 -x) =

Answer 16

sinx

Question 17

tan ( Π/ 2 -x) =

Answer 17

cot

Question 18

sin ( Π/ 2 -x) =

Answer 18

cos

Question 19

cot ( Π/ 2 -x) =

Answer 19

tan

Question 20

sec ( Π/ 2 -x) =

Answer 20

cscx

Question 21

csc ( Π/ 2 -x) =

Answer 21

secx

Question 22

sin2θ=

Answer 22

2sinθcosθ

Question 23

cos2θ =

Answer 23

cos^2 θ - sin^2 θ
2cos^2 θ -1
1-2sin^2 θ

Question 24

tan2θ=

Answer 24

2tanθ
1 - tan ^2 θ

Question 25

sin θ/2=

Answer 25

± √(1-cosθ ) /
√2

Question 26

cos θ/2=

Answer 26

± √(1+cosθ) /
√2

Question 27

tan θ/2=

Answer 27

± √(1- cosθ) /
± √(1+cosθ)

1-cos θ
sinθ

sinθ
1+cosθ