Posted by **Yadira** on Wednesday, May 23, 2012 at 11:50pm.

Use factoring, the quadratic formula, or identities to solve cos(x)+1=sin^(2)x. Find all solutions on the interval [0, 2pi)

- Pre-Calc/Math -
**Jai**, Thursday, May 24, 2012 at 12:05am
recall that

sin^2 x + cos^2 x = 1

therefore, we use this substitute the sin^2 x at the right side of equation:

cos(x) + 1 = 1 - cos^2 x

cos(x) = -cos^2 x

cos(x) + cos^2 (x) = 0

factoring,

cos(x) [1 + cos(x)] = 0

*for cos(x) = 0, the x values allowed are π/2 and 3π/2.

*for (1 + cos(x)) = 0 or cos(x) = -1, the x value allowed is π.

therefore,

x = π/2, π, 3π/2

hope this helps~ :)

## Answer This Question

## Related Questions

- Trigonometry - Use the half-angle identities to find all solutions on the ...
- Trigonometry - Use the half-angle identities to find all solutions on the ...
- Pre-Calculus - cos^2(x) + sin(x) = 1 - Find all solutions in the interval [0, ...
- Math - Can I please get some help on these questions: 1. How many solutions does...
- Pre-Calc - Find all solutions of the equation in the interval [0, 2pi). Show all...
- PRE CALC PLEASE HELP!!!!!!!! - find the solutions of the equation that are in ...
- Pre-Calc - I have two questions how do you solve cos x=sqrt2-cosx on the ...
- trig - I need to find all solutions of the given equations for the indicated ...
- trig - Solve cos x-1 = sin^2 x Find all solutions on the interval [0,2pi) a. x=...
- Math (Calc) - Find all solutions to the following equation on the interval 0<...

More Related Questions