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 / 1-sinx...
- Trigonometry. - ( tanx/1-cotx )+ (cotx/1-tanx)= (1+secxcscx) Good one! ...
- Pre-Calc - 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: [cosx-sin(90-x)sinx]/[cosx-cos(180-x)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)=sinx-cosx+...

More Related Questions