1. sin 𝜃 = cos 𝜃 tan 𝜃
2.
1
cos 𝜃
=
8.
tan 𝜃
sin 𝜃
4.
5. 1 −
6.
+1=
cos2 𝜃
1
cos2 𝜃
=
sin2 𝜃
7. sin 𝜃 tan 𝜃 + cos 𝜃 =
1
10. cos2 𝜃
= tan2 𝜃 + 1
11. sin2 𝜃 − cos2 𝜃 = 2 sin2 𝜃 − 1
= sin 𝜃 cos 𝜃 tan 𝜃
cos 2 𝜃 tan2 𝜃
− 1 = tan2 𝜃
9. cos2 𝜃 1 + tan2 𝜃 = 1
3. sin2 𝜃 − cos2 𝜃 = 1 − 2 cos2 𝜃
tan2 𝜃
tan2 𝜃
sin2 𝜃
1
cos 𝜃
12. 1 + cos2 𝜃 = 2 cos2 𝜃 + sin2 𝜃
13. tan2 𝜃 − sin2 𝜃 = tan2 𝜃 sin2 𝜃
1. tan3 𝑥 = tan 𝑥 sec 2 𝑥 − tan 𝑥
2.
3.
4.
tan2 𝜃
1+sec 𝜃
sec 6 𝑥
sec 𝑥−1
1−cos 𝑥
=
1−cos 𝜃
cos 𝜃
sec 𝑥 tan 𝑥 − sec 4 𝑥 sec 𝑥 tan 𝑥 = sec 5 𝑥 tan3 𝑥
= sec 𝑥