Trigonometry

Question 1

tan (x)

Answer 1

sin (x) / cos (x)

Question 2

cos (x)

Answer 2

sin (π/2 - x)

sin (π/2 + x)

Question 3

sin (x)

Answer 3

cos (π/2 - x)

Question 4

cos (π/2 + x)

Answer 4

-sin (x)

Question 5

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

Answer 5

1

Question 6

sin (0)

Answer 6

0

Question 7

cos (0)

Answer 7

1

Question 8

tan (0)

Answer 8

0

Question 9

sin (π/6)

Answer 9

1/2

Question 10

cos (π/6)

Answer 10

√3/2

Question 11

tan (π/6)

Answer 11

√3/3 (1/√3)

Question 12

sin (π/4)

Answer 12

√2/2

Question 13

cos (π/4)

Answer 13

√2/2

Question 14

tan (π/4)

Answer 14

1

Question 15

sin (π/3)

Answer 15

√3/2

Question 16

cos (π/3)

Answer 16

1/2

Question 17

tan (π/3)

Answer 17

√3

Question 18

sin (π/2)

Answer 18

1

Question 19

cos (π/2)

Answer 19

0

Question 20

tan (π/2)

Answer 20

undefined

Question 21

sin (π)

Answer 21

0

Question 22

cos (π)

Answer 22

-1

Question 23

tan (π)

Answer 23

0

Question 24

√2

Answer 24

1.4

Question 25

√3

Answer 25

1.7

Question 26

Tan Asymptotes

Answer 26

x = (2k+1)π/2n

Question 27

Tan period

Answer 27

π/n

Question 28

Tan x-ints

Answer 28

kπ/n

Question 29

sin/cos amplitude

Answer 29

A

Question 30

sin/cos period

Answer 30

2π/n

Question 31

1st Quadrant

Answer 31

π/6, π/4, π/3

Question 32

2nd Quadrant

Answer 32

2π/3, 3π/4, 5π/6

Question 33

3rd Quadrant

Answer 33

7π/6, 5π/4, 4π/3

Question 34

4th Quadrant

Answer 34

5π/3, 7π/4, 11π/6

Question 35

general solution:
cos (x) = a

Answer 35

x = 2nπ +/- cos-1(a) , nEZ , aE [-1,1]

Question 36

general solution:
tan (x) = a

Answer 36

x = nπ + tan-1(a) , nEZ , aE R

Question 37

general solution:
sin (x) = a

Answer 37

x = nπ + (-1)^n sin-1(a) , nEZ , aE [-1,1]

Question 38

sin (2 π)

Answer 38

0

Question 39

cos (2π)

Answer 39

1

Question 40

tan (2π)

Answer 40

0

Question 41

sin (3π/2)

Answer 41

-1

Question 42

cos (3π/2)

Answer 42

0

Question 43

tan (3π/2)

Answer 43

undef.