Simplifying Trig Expressions

Help with Simplifying Trigonometric Expressions
Please try the following on your own. If you need help in solving them please refer to
the associated video link to its right. To save you time, I am also providing you with
the appropriate time interval.
1βˆ’sin2 π‘₯π‘₯
Video 1: https://www.youtube.com/watch?v=qTIsF61_BYg Time (0:00 – 5:00)
sec π‘₯π‘₯+csc π‘₯π‘₯
Video 1, but go to (5:00 – 11:00)
sec π‘₯π‘₯βˆ’cos π‘₯π‘₯
https://www.youtube.com/watch?v=Cx5PGdgOBLc
csc2 π‘₯π‘₯βˆ’1
1+tan π‘₯π‘₯
tan π‘₯π‘₯
1+sin π‘₯π‘₯
cos π‘₯π‘₯
+
cos π‘₯π‘₯
1+sin π‘₯π‘₯
https://www.youtube.com/watch?v=203K9a3puvY
1+sin π‘₯π‘₯
https://www.youtube.com/watch?v=Vx8rkQ81i6Q
cos π‘₯π‘₯ tan π‘₯π‘₯
https://www.youtube.com/watch?v=mxdltBGRdOE (0:00 – 2:38)
cos2 π‘₯π‘₯
1βˆ’π‘ π‘ π‘ π‘ π‘ π‘ 2 π‘₯π‘₯
same as above (2:38 – 4:35)
sin2 π‘₯π‘₯+tan2 π‘₯π‘₯+cos2 π‘₯π‘₯
same as above (5:09 – 12:00)
cos π‘₯π‘₯
sec π‘₯π‘₯