Posted by **lauren** on Thursday, March 22, 2007 at 12:20pm.

find all solutions in the interval [0,2 pi)

sin(x+(3.14/3) + sin(x- 3.14/3) =1

sin^4 x cos^2 x

Since sin (a+b) = sina cosb + cosb sina

and

sin (a-b) = sina cosb - cosb sina,

the first problem can be written

2 sin x cos (pi/3)= sin x

The solution to sin x = 1 is x = pi/2

For your other problem

sin^4 cos^2 x = sin^4 x(1 - sin^2x)=0

The solutions are sin x = 0 and sin^2 x = 1. That would correspond to x=0, pi/2, pi, and 3 pi/4

the answer is $344,000.000

## Answer This Question

## Related Questions

- Math - If A and B are acute angle such that SinA=8/17 and CosB=3/5.Find 1, Cos(A...
- Math - If A and B are acute angle such that SinA=8/17 and CosB=3/5.Find 1, Cos(A...
- further mathematics - Let P=(cosA sinA) (sinA cosA) Q=(cosB sinA) (sinB cosA) ...
- math - Given that [sin(A-B)/cos(A+B)]=1/3[tan(A-B)], find the values of cosB if ...
- Trig - Please help with this one. I've worked it out in so many ways and can't ...
- Math - In any angle ABC prove that the perimeter = a/Sin A(Sin A + Sin B + Sin C...
- TRIG! - Posted by hayden on Monday, February 23, 2009 at 4:05pm. sin^6 x + cos^6...
- Pre-Calculus - How can the following two identities be verified? 1. (cos^2y)/(1-...
- Math Help - 1) 1+cos(3t)/ sin(3t) + sin(3t)/( 1+ cos(3t))= 2csc(3t) 2) sec^2 2u-...
- pleeaasee hellpp!! - A and B are positive acute angles. If sin A=(3/5) and cosB...

More Related Questions