Posted by Anonymous on Friday, November 20, 2009 at 9:18pm.
Determine the solutions for:
(cos x)/(1 + sinx) + (1 + sinx)/(cosx) = 2
in the interval x is all real numbers, such that [2 pi, 2pi]

Advanced Functions  Reiny, Friday, November 20, 2009 at 10:23pm
Multiply each term by cosx(1+sinx)
cos^2(x) + 1 + 2sinx + sin^2(x) = 2cosx(1+sinx)
2 + 2sinx = 2cosx(1+sinx) , recall sin^2(x) + cos^2(x) = 1
2(1 + sinx) = 2cosx(1+sinx)
now divide by 1+sinx to get
1 = cosx
for the given domain, x = 2pi,0,2pi
Answer This Question
Related Questions
 Trig........  I need to prove that the following is true. Thanks (cosx / 1sinx...
 Trigonometry.  ( tanx/1cotx )+ (cotx/1tanx)= (1+secxcscx) Good one! Generally...
 PreCalc  Trigonometric Identities Prove: (tanx + secx 1)/(tanx  secx + 1)= ...
 Advanced Functions  Determine all solutions in the interval x is all real ...
 advanced functions  Determine approximate solutions for this equation in the ...
 Trigonometry Check  Simplify #3: [cosxsin(90x)sinx]/[cosxcos(180x)tanx] = [...
 maths  trigonometry  I've asked about this same question before, and someone ...
 Trigonometry  Prove the following trigonometric identities. please give a ...
 Math  Pre Clac  Prove that each of these equations is an identity. A) (1 + ...
 Calculus  determine the absolute extreme values of the function f(x)=sinxcosx+...
More Related Questions