| By Kkhimji (Kkhimji) on Saturday, August 16, 2003 - 09:42 am: Edit |
cosec^2x(tan^2x-sin^2x)=tan^2x
i need help on this question
| By Fairyofwind (Fairyofwind) on Saturday, August 16, 2003 - 09:48 am: Edit |
Csc[x]^2(Tan[x]^2-Sin[x]^2)=(1/Sin[x]^2)(Sin[x]^2/Cos[x]^2-Sin[x]^2)=Sec[x]^2-1=Tan[x]^2.
| By Calculator (Calculator) on Saturday, August 16, 2003 - 12:12 pm: Edit |
or...if you feel like doing it the hard/long way
(2x = ^2x)
1. csc2x (tan2x-sin2x) = tan2x
2. 1/sin2x (tan2x - sin2x)
3. tan2x/sin2x - sin2x/sin2x
4. tan2x/sin2x-1
5. 1/cos2x-1
6. 1-cos2x/cos2x
7. sin2x/cos2x
8. tan2x
that's if you don't know the sec2x-1=tan2x
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