Trigonometry

Question 1

sin^2x + cos^2x =

Answer 1

1

Question 2

tanx =

Answer 2

sinx/cosx

Question 3

cosecx =

Answer 3

1/sinx

Question 4

secx =

Answer 4

1/cosx

Question 5

cotx =

Answer 5

1/tanx or cosx/sinx

Question 6

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

Answer 6

1 + cot^2x = cosec^2x

Question 7

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

Answer 7

tan^2x + 1 = sec^2x

Question 8

sin(A+B) =

Answer 8

sinAcosB + cosAsinB

Question 9

sin(A-B) =

Answer 9

sinAcosB - cosAsinB

Question 10

cos(A+B) =

Answer 10

cosAcosB - sinAsinB

Question 11

cos(A-B) =

Answer 11

cosAcosB + sinAsinB

Question 12

tan(A+B) =

Answer 12

(tanA + tanB)/(1 - tanAtanB)

Question 13

tan(A-B) =

Answer 13

(tanA - tanB)/(1 + tanAtanB)

Question 14

sin2A =

Answer 14

2sinAcosA

Question 15

cos2A =

Answer 15

1) cos^2A-sin^2A
2) 2cos^2A - 1
3) 1 - 2sin^2A

Question 16

tan2A =

Answer 16

2tanA/(1 - tan^2A)

Question 17

2sinAcosB =

Answer 17

sin(A+B) + sin(A-B)

Question 18

2cosAsinB =

Answer 18

sin(A+B) - sin(A-B)

Question 19

2cosAcosB =

Answer 19

cos(A+B) + cos(A-B)

Question 20

2sinAsinB =

Answer 20

cos(A+B) - cos(A-B)

Question 21

sinP + sinQ =

Answer 21

2sin((P+Q)/2)cos((P-Q)/2)

Question 22

sinP - sinQ =

Answer 22

2cos((P+Q)/2)sin((P-Q)/2)

Question 23

cosP + cosQ =

Answer 23

2cos((P+Q)/2)cos((P-Q)/2)

Question 24

cosP - cosQ =

Answer 24

-2sin((P+Q)/2)sin((P-Q)/2)

Question 25

sin^2A=

Answer 25

1/2(1-cos2A)

Question 26

cos^2A=

Answer 26

1/2(1+cos2A)

Question 27

sin^2A/2=

Answer 27

1/2(1-cosA)

Question 28

cos^2A/2=

Answer 28

1/2(1+cosA)

Question 29

sin3A=

Answer 29

3sinA-4sin^3A

Question 30

cos3A=

Answer 30

4cos^3A-3cosA

Question 31

tan3A=

Answer 31

(3tanA-tan^3A)/(1-3tan^2A)

Question 32

State in degrees the exact values of sin30, sin45, sin60, sin90, and sin180.

Answer 32

1/2, 1/root2, root3/2, 1, 0

Question 33

State in degrees the exact values of cos30, cos45, cos60, cos90, cos180

Answer 33

root3/2, 1/root2, 1/2, 0, -1

Question 34

State in degrees the exact values of tan30, tan45, tan60, tan90, tan180

Answer 34

1/root3, 1, root3, -, 0