5.1-5.2+wkst+due+10-5

1. cot //t// + tan //t// sin //t//

cos //t// + (sin //t// / cos //t//) (sin //t// /1) cos //t// + (sin^2 //t// / cos //t//) (cos^2 //t// / cos //t)//+ (sin ^2 //t// / cos //t//) 1 / cos //t// = sec //t//

Done by: Frances Dannenbrink

done by: Rebekah Adair

I really hope this is the one i'm supposed to check cause this is exactly what I got. Checked by Quinn Taylor

3. 1/(1-sinx) - 1/(1+sinx) [(1+sinx) - (1-sinx)]/(1-sin^2x) 2sinx/(1-sin^2x) 2sinx/cos^2x (2/cos^2x)(sinx/cos^2x) (2sec^2x)(sinx/cosxcosx) (2sec^2x)(tanx/cosx) (2sex^2x)(tanx)(secx) 2sec^3xtanx By Morgan Miller

checked by Matt Bogaert I got 2sin, but I worked it differently. I followed what she did and couldn't see anything wrong, so I probably made a mistake somewhere.
 * #3 ANOTHER OPTION: **


 * #4: **

5. cos^3x + sin^2x cosx = cosx (cos^2x+sin^2x) = cosx (1) = cosx

Done by Jan Dudek I got the same thing. Checked By Freddie Jordan

6. I did [(2+tan^2x)/(sec^2x)]-1 [(2-1+sec^2x)/(sec^2x)]-1 [(1+sec^2x)/(sec^2x)]-1 [(1/sec^2x)+(sec^2x/sec^2x)]-1 1/sec^2x + 1-1= cos^2x Checked by Alex Dubois
 * 1) 6 Done by Emily Johnson

7. sinB + cosBcotB= cscB sinB +cosB/1(cosB/sinB) = csc B sin^2B + cos^2B / sinB = csc B 1/ sinB = csc B cscB= cscB done by Rachel West

8. cos(-x) - sin(-x) = cosx +sinx cosx - (-sinx) = cosx + sinx cosx +sinx = cosx + sinx Done by Jennifer Hassell



10. 1/(1-sin^2y) = 1 + tan^2y 1/cos^2y = 1 + tan^2y sec^2y = 1 + tan^2y 1 + tan^2y = 1 + tan^2y By Alyssa Johnson

That's what I got! Checked by Jonathan Eichelberger

11. Done by Will Duffy

11. I worked on the other side and this is how I did this problem...

Checked by Mady Smith

Done by Amy Finkelstein I did it the same way and got the same answer! Ellen Barth
 * #12 ANOTHER OPTION: **
 * #13: **

14. (tanx+cotx)^4 = csc^4sec^4 (sinx/cosx+cosx/sinx)^4 = csc^4xsec^4x (sin^2x/cosxsinx+cos^2x/cosxsinx)^4 = csc^4xsec^4x (sin^2x+cos^2x/cosxsinx)^4 = csc^4xsec^4x (1/cosxsinx)^4 = csc^4xsec^4x csc^4xsec^4x = csc^4xsec^4x Done by Kristen Hanslik

That is exactly how I did it. -Daniel Leeper