Show that if y=tanx/2 dy/dx=1/sinx

Q: If y=sinx/(1+tanx), find value of x not greater than pi, corresponding to maxima or minima value of y. I have proceeded thus-
1. 5 answers
2. asked by MS
3. 1,000 views
Prove the following:[1+sinx]/[1+cscx]=tanx/secx =[1+sinx]/[1+1/sinx] =[1+sinx]/[(sinx+1)/sinx] =[1+sinx]*[sinx/(sinx+1)]
1. 3 answers
2. asked by Anonymous
3. 938 views
Simplify #3:[cosx-sin(90-x)sinx]/[cosx-cos(180-x)tanx] = [cosx-(sin90cosx-cos90sinx)sinx]/[cosx-(cos180cosx+sinx180sinx)tanx] =
1. 1 answer
2. asked by Anonymous
3. 1,072 views
We are doing trig identities in school. I need help with these five:1.1+sinx/1-sinx=cscx+1/cscx-1 2.tanx+sinx/1+cosx=tanx
1. 1 answer
2. asked by Jay
3. 953 views
How do I solve this?tan^2x= 2tanxsinx My work so far: tan^2x - 2tanxsinx=0 tanx(tanx - 2sinx)=0 Then the solutions are: TanX=0
1. 1 answer
2. asked by Chris
3. 3,786 views
Prove the following identity:1/tanx + tanx = 1/sinxcosx I can't seem to prove it. This is my work, I must've made a mistake
1. 1 answer
2. asked by Heather
3. 788 views
Given that a^2+b^2=2 and that (a/b)= tan(45degee+x), find a and b in terms of sinx and cosx.I don't know what i'm supposed to
1. 0 answers
2. asked by Marrion
3. 688 views
Given that a^2+b^2=2 and that (a/b)= tan(45degee+x), find a and b in terms of sinx and cosx.I don't know what i'm supposed to
1. 1 answer
2. asked by Marrion
3. 682 views
Show that tanx= (sinx/ cosx)can be written as: tan(x-y) = (tanx - tany) / (1+ tanxtany)
1. 1 answer
2. asked by -
3. 724 views
Show that tanx = sinx / cosxcan be written as tan(x+y) = (tanx + tany) / (1 - tanxtany)
1. 1 answer
2. asked by -
3. 633 views