Trigonometry

Question 1

sin2x

Answer 1

2sinx•cosx

Question 2

cos2x

Answer 2

cos²x - sin²x

1 - 2sin²x

2cos²x - 1

Question 3

cos²x

Answer 3

(1/2)•(1 + cos2x)

Question 4

sin²x

Answer 4

(1/2)•(1 - cos2x)

Question 5

sin²x + cos²x

Answer 5

1

Question 6

1 + tan²x

Answer 6

sec²x

Question 7

1 + cot²x

Answer 7

csc²x

Question 8

sin0

Answer 8

0

Question 9

cos0

Answer 9

1

Question 10

tan0

Answer 10

0

Question 11

sin(π/6)

Answer 11

1/2

Question 12

cos(π/6)

Answer 12

√(3)/2

Question 13

tan(π/6)

Answer 13

1/√(3)

Question 14

sin(π/4)

Answer 14

√(2)/2

1/√(2)

Question 15

cos(π/4)

Answer 15

√(2)/2

1/√(2)

Question 16

tan(π/4)

Answer 16

1

Question 17

sin(π/3)

Answer 17

√(3)/2

Question 18

cos(π/3)

Answer 18

1/2

Question 19

tan(π/3)

Answer 19

√(3)

Question 20

sin(π/2)

Answer 20

1

Question 21

cos(π/2)

Answer 21

0

Question 22

tan(π/2)

Answer 22

∞

Question 23

sin(π)

Answer 23

0

Question 24

cos(π)

Answer 24

-1

Question 25

tan(π)

Answer 25

0

Question 26

sin(3π/2)

Answer 26

-1

Question 27

cos(3π/2)

Answer 27

0

Question 28

tan(3π/2)

Answer 28

∞

Question 29

sin(2π)

Answer 29

0

Question 30

cos(2π)

Answer 30

1

Question 31

tan(2π)

Answer 31

0

Question 32

sin(u + v)

sin(u – v)

Answer 32

sinu•cosv + cosu•sinv

sinu•cosv – cosu•sinv

Question 33

cos(u + v)

cos(u – v)

Answer 33

cosu•cosv – sinu•sinv

cosu•cosv + sinu•sinv

Question 34

tan(u + v)

tan (u – v)

Answer 34

(tanu + tanv)/(1 – tanu•tanv)

(tanu – tanv)/(1 + tanu•tanv)