number 3 and 5 are the same questions.

i have done 3 of these for you but rather than just copy my solution and easy way to see the "path" in solving these is to start with the left side by changing to sin and cos and doing any algebraic calculations (ie: squaring/dividing/simple factoring etc) then after 2 or 3 "obvious steps on the left, look back to the right side and try to deconstruct it ( chang to sin and cos, factor out, etc) I havent done these since precal in high school and im in my 4th year BSc(math), and it took me no more than 10 mins to get these 3 done. let me know if i can help out anymore.

1)

cotA-tanA/cotA+tanA= cos^2A-sin2^A

cos/sin - sin/cos

cos/sin + sin/cos

cos^2 - sin^2Xsincos

sincos cos^2 + sin^2

cos^2 -sin^2

cos^2 + sin^2

= cos^2 -sin^2

2) (cota - tanA)sinA = 2cosA- secA

(cos/sin - sin/cos)sin

cos - sin^2/cos

cos -(1- cos^2)

cos

cos + cos - 1/cos

= 2cosA - secA

3)

(sinA-cosA)(TanA+cotA)= secA- cosecA

** multiply through on left and get a common denominator you get...

sin^3 + cos^2sin - sin^2cos - cos^3

sincos

sin(sin^2 + cos^2)-cos(sin^2 + cos^2)

sincos sincos

sin/sincos - cos/sincos

1/cos - 1/sin

= secA- cosecA

Hope this helps