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1. ### Prove the following identities sec(x) - sin(x) = [tan^2(x) + cos^2(x)] / [sec(x) + sin(x)]?

sec(x) - sin(x) = [tan^2(x) + cos^2(x)] / [sec(x) + sin(x)] LS: sec(x) - sin(x) = [sec(x) - sin...x) = 1 dividing through by cos^2(x) tan^2(x) + 1 = sec^2(x) tan^2(x) = sec^2(x) - 1 resubstituting tan^2(x): =sec...

2 Answers · Science & Mathematics · 30/11/2009

2. ### how to integrate tan x/(sec x+tan x)?

x * tan(x) * dx / (sec(x) + tan(x)) => x * tan(x) * (sec(x) - tan(x)) * dx / (sec(x)^2 - tan(x)^2) => x * (tan(x) * sec(x) - tan(x)^2) * dx / 1 => x * (sec(x) * tan(x) - sec(x)^2 + 1) * dx u = x du = dx dv = sec(x) * tan(x) * dx - sec(x...

3 Answers · Science & Mathematics · 29/04/2013

3. ### Integral Calculus? ∫ sec(5/2x) tan(5/2x) dx

sec[(5/2)x] tan[(5/2)x] dx = (I assume x is in the numerator) let [(5/2)x] = u → x = (2/5)u → dx = (2/5) du then, substituting, you get: ∫ sec(5/2x) tan(5/2x) dx = ∫ sec u tan u (2/5) du = take out the constant: (2/5) ∫ sec...

3 Answers · Science & Mathematics · 14/08/2008

4. ### find dx/dy for y*sec(x) = x*tan(y)...?

y*sec(x) = x*tan(y) Differentiating both sides with respect to x, y * d/dy(sec(x)) + sec(x) * dy/dy = x * d/dy(tany) + tan(y) * dx/dy Or y * d/dy(sec(x...

2 Answers · Science & Mathematics · 18/07/2009

5. ### How to solve 1+sec(x)=tan(x)?

1+sec(x)=tan(x) 1+sec(x)=sin(x)/cos(x) Crossing multiplication. cos(x)(1+sec(x))=sin(x) (cos(x)+1)^2=(sin(x))^2 cos^2(x)+2cos(x)+1=sin^2(x) ..... ... ...

11 Answers · Science & Mathematics · 02/08/2013

6. ### How much alcohol does triple sec have?

Triple sec is an orange flavored liqueur that is used in ...and it will be noted on the bottle. The two most popular high end triple secs in the states are Grand Marnier (it's ...

8 Answers · Food & Drink · 28/12/2007

7. ### Why do people deny that the SEC is the best conference?

You SEC-haters are hilarious. Talking about most national titles...news services for poll championships? That would be the SEC with 19, which is six more than any other conference. Which would also be...

15 Answers · Sports · 14/01/2011

8. ### sec and csc?

First, a few identities: [a] sec x = 1 / cos x [b] csc x = 1 / sin x [c] cos x + n360 = cos x...90. 5) Apply [i], [j] or [k] if possible. So... sec -150 = 1/cos -150 [a] = 1/cos 150 [e] = -(1/cos 30) [g] = -(1...

1 Answers · Science & Mathematics · 03/12/2007

9. ### Calculus integral sec(√x)/(√x)?

sec(√x) / √x dx let √x =t (1(/2√x))*dx=dt substitute ∫ sec(√x) / √x dx=∫ 2sect dt =2ln|sect+tant|+C t=√x hence ∫ sec(√x) / √x dx...

2 Answers · Science & Mathematics · 22/06/2013

10. ### Trig: Sec^2 18 - Tan^2 18?

sec^2(18) - tan^2(18) First off, remember that there is an identity that relates sec^2(x) with tan^2(x); it goes sec^2(x) = tan^2(x) + 1. Therefore...

6 Answers · Science & Mathematics · 13/03/2007