Trig Identities

Question 1

sin(π / 6)

Answer 1

1/ 2

Question 2

sin(π / 4)

Answer 2

√2 / 2

Question 3

sin(π / 2)

Answer 3

1

Question 4

sin(π / 3)

Answer 4

√3 / 2

Question 5

cos(π / 6)

Answer 5

√3 / 2

Question 6

cos(π / 4)

Answer 6

√2 / 2

Question 7

tan(π / 6)

Answer 7

√3 / 3

Question 7

cos(π / 3)

Answer 7

1 / 2

Question 8

cos(π / 2)

Answer 8

0

Question 9

tan(π / 4)

Answer 9

1

Question 10

tan(π / 3)

Answer 10

√3

Question 11

tan(π / 2)

Answer 11

0

Question 12

csc x

Answer 12

1 / sin x

Question 13

sec x

Answer 13

1 / cos x

Question 14

cot x

Answer 14

1 / tan x

Question 15

tan x

Answer 15

sin x / cos x

Question 16

sin x^2 + cos x ^2

Answer 16

1

Question 17

sin^2 x

Answer 17

1 - cos^2 x

Question 18

cos^2 x

Answer 18

1 - sin^2 x

Question 19

sin(2x)

Answer 19

2 sin x cos x

Question 20

cos(2x)

Answer 20

cos^2 x - sin^2 x or 2 cos^2 x -1 or 1 - 2sin^2 x

Question 21

tan^2 + 1

Answer 21

sec^2 x

Question 22

cot^2 x + 1

Answer 22

csc^2 x

Question 23

sin(x / 2)

Answer 23

√1 - cos x / 2

Question 24

cos(x / 2)

Answer 24

√1 + cos x / 2