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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 · 15/07/2013

  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. 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

  5. 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 · 03/01/2014

  6. 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

  7. 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

  8. 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

  9. 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

  10. sec (x/2)dx Multiply numerator and denominator by ( sec (x/2)+tan(x/2) and get ∫ sec (x/2)dx= ∫{ sec (x/2)( sec (x...x/2)tan(x/2)} dx= dt i.e dx =2dt/{ sec²(x/2) + sec (x/2)tan(x/2)} Subsituting ∫{sec²(x...

    5 Answers · Science & Mathematics · 09/03/2011

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