Posted by Lynn on Friday, March 23, 2012 at 9:46pm.
sin^2x/cosx=sec^2x1

precal  Reiny, Saturday, March 24, 2012 at 12:52am
sin^2x /cosx = 1/cos^2 x  1
multiply each side by cos^2 x
sin^2 x cosx = 1  cos^2x
(1  cos^2x)cosx = 1  cos^2x
cosx  cos^3x  1 + cos^2x = 0
cos^3x  cos^2x  cosx + 1 = 0
cos^2x(cosx  1) (cosx  1) = 0
(cosx1)(cos^2x1) =0
(cosx1)(cosx1)(cosx+1) = 0
cosx = 1 or cosx = 1
x = 0, 2π or x = π
Answer This Question
Related Questions
 Precal  Verify the identity: sin^(1/2)x*cosx  sin^(5/2)*cosx = cos^3x sq root ...
 Trigonometry  Prove the following trigonometric identities. please give a ...
 Precalculus/Trig  I can't seem to prove these trig identities and would really ...
 Confused! PreCal  Verify that each equation is an identity.. tan A= sec a/csca...
 Calculus  Q: If y=sinx/(1+tanx), find value of x not greater than pi, ...
 Studying for math test  Multiply; then use fundamental identities to simplify ...
 Calculus 2 Trigonometric Substitution  I'm working this problem: ∫ [1tan...
 Trigonometry.  ( tanx/1cotx )+ (cotx/1tanx)= (1+secxcscx) Good one! Generally...
 Trig Identities  Prove the following identities: 13. tan(x) + sec(x) = (cos(x...
 Math  Use the fundamental identities to simplify the expression. csc Q / sec Q ...
More Related Questions