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  1. I = ∫ sec^5(x) dx = ∫ (sin^2(x) + cos^2(x))*sec^5...sec^3(x) dx Note: d(sin(x)*sec^4(x)) = cos(x)*sec^4(x) dx + sin(x)*4sec...1/2) sec(x) dx I = (1/4)sin(x)*sec^4(x) + (3/4)*(1/2) sin(x)*sec^2(x) - (3...

    1 Answers · Science & Mathematics · 30/03/2013

  2. sec (2x) = 1/cos(2x) The period of cos (2x) can be found using... In this case B = 2. So the period of cos(2x) = period of sec(2x) = 2pi/2 = pi or 180 degrees The amplitude is defined...

    1 Answers · Science & Mathematics · 16/07/2013

  3. sec^4 (x/2) dx = ∫ sec^2 (x/2) * sec^2 (x/2) dx = ∫[1 + tan^2 (x/2)] * sec^2 (x/2) dx = ∫ sec^2 (x... tan(x/2) = u for the second integral => (1/2) sec^2 (x/2) dx = du => sec^2 (x/2) dx = 2du => Integral...

    2 Answers · Science & Mathematics · 28/01/2011

  4. sec(t) = -5 First, let's express this as cosine. Note that sec(t) = 1/cos(t), so 1/cos(t) = -5. Take the reciprocal of both sides...

    4 Answers · Science & Mathematics · 12/02/2007

  5. tan(x) + sec(x) = 2cos(x) Change everything to sines and cosines... work, by plugging them into the original. tan(x) + sec(x) = 2cos(x) Test x = pi/6: tan(pi/6) + sec(pi/6) = 2cos(pi/6...

    6 Answers · Science & Mathematics · 24/07/2008

  6. 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

  7. sec(x) doesn't exist when x = pi/2 + pi * k, where k is an integer a / x^2...pi , 0 , pi , 2pi are the values when f(x) doesn't exist f(x) = (sec(x) - 1) / x^2 f(x) = (1/cos(x) - 1) / x^2 f(x) = ((1 - cos(x)) / cos(x)) / x^2 f...

    1 Answers · Science & Mathematics · 04/01/2014

  8. sec (x/2) dx = let (x/2) = u → x = 2u → dx = 2 du thus, substituting: ∫ sec u 2 du = 2 ∫ sec u du = now multiply and divide the integrand by (sec u + tan u): 2...

    3 Answers · Science & Mathematics · 11/07/2008

  9. 1) sec^2x(1-sin^2x) sec^2x ( cos^2x) ----------------- sin^2x + cos^2x = 1 cos^2x/cos^2x ---------------sec^2x = 1/cos^2x 1 2) cos^B/ 1-sinB 1-sin^2B / 1-...

    2 Answers · Science & Mathematics · 08/07/2011

  10. sec(b)csc(b) = 2csc(b) sec(b)csc(b) - 2csc(b) = 0 csc(b) * (sec(b) - 2) = 0 csc(b) = 0 1/sin(b...5pi/3 + 2pi * k b = (pi/3) * (1 + 6k) , (pi/3) * (5 + 6k) tan(t) + sec(t) = 1 sin(t)/cos(t) + 1/cos(t) = 1 (sin(t) + 1) / cos(t) = 1 sin(t...

    5 Answers · Science & Mathematics · 05/04/2012

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