Trigonometry

Question 1

Answer 1

Question 2

Identities of axial symmetry
sin⁡θ°=
cos⁡θ°=

sin⁡(−θ°)=
cos⁡(180°−θ°)=

tan⁡(−θ°)=
tan⁡(180°−θ°)=

Answer 2

sin⁡θ°=sin⁡(180°−θ°)
cos⁡θ°=cos⁡(−θ°)

sin⁡(−θ°)=−sin⁡θ°
cos⁡(180°−θ°)=−cos⁡θ°

tan⁡(−θ°)=−tan⁡θ°
tan⁡(180°−θ°)=−tan⁡θ°

Question 3

Identities of rotational symmetry
sin⁡θ°=
cos⁡θ°=
tan⁡θ°=

Answer 3

sin⁡θ°=sin⁡(θ°+n360°), nϵZ
cos⁡θ°=cos⁡(θ°+n360°), nϵZ
tan⁡θ°=tan⁡(θ°+n180°), nϵZ

Question 4

Answer 4

Question 5

Answer 5

Question 6

Answer 6

Question 7

Answer 7

Question 8

Answer 8

Question 9

Answer 9

Question 10

Addition formulae
sin⁡(x+y)=
sin⁡(x−y)=

cos⁡(x+y)=
cos⁡(x−y)=

tan⁡(x+y)=
tan⁡(x−y)=

Answer 10

sin⁡(x+y)=sin⁡x cos⁡y + sin⁡y cos⁡x
sin⁡(x−y)=sin⁡x cos⁡y − sin⁡y cos⁡x

cos⁡(x+y)=cos⁡x cos⁡y − sin⁡x sin⁡y
cos⁡(x−y)=cos⁡x cos⁡y + sin⁡x sin⁡y

tan⁡(x+y)=(tan⁡x + tan⁡y)/(1 − tan⁡x tan⁡y)
tan⁡(x−y)=(tan⁡x − tan⁡y)/(1 + tan⁡x tan⁡y)

Question 11

Answer 11

Question 12

Answer 12