Friday

September 19, 2014

September 19, 2014

Posted by **jh** on Thursday, March 25, 2010 at 7:33pm.

sin(theta)cos(theta)-sin(theta)−cos(theta)+1 = 0, 0 < or equal to theta < 2pi

Solution Set: ____________ ?

- Precalculus(NEED HELP ASAP PLEASE!!) -
**Damon**, Thursday, March 25, 2010 at 9:03pmsin(theta)cos(theta)-sin(theta)−cos(theta)+1 = 0

sinT(sqrt(1-sin^2T)) -sinT -sqrt(1-sin^2T)+1 = 0

let x = sinT

x sqrt(1-x^2) -x -sqrt(1-x^2) +1 = 0

(x-1) sqrt(1-x^2) = x-1

sqrt (1-x^2) = (x-1)/(x-1) =1

1-x^2 = 1 or -1

sin^2 T = 0

or

sin^2 T = 2 which is impossible because sin T is between -1 and +1

- changed last lines -
**Damon**, Thursday, March 25, 2010 at 9:15pmsqrt (1-x^2) = (x-1)/(x-1) =1

1-x^2 = 1

sin^2 T = 0

T = 0 or 180 degrees, 0 or pi

check 0 and pi in the original

- check -
**Damon**, Thursday, March 25, 2010 at 9:18pmcheck T= 0 solution

sin(theta)cos(theta)-sin(theta)−cos(theta)+1

0 (1) - 0 - 1 + 1 = 0 check so zero works

check T = pi solution

0 -0 - (-1) + 1 = 0

2 = 0 NO, so pi is not a solution.

**Answer this Question**

**Related Questions**

Precalculus(NEED HELP ASAP PLEASE!!) - Solve: sin(theta)+cos(theta) = 1 0 < ...

Calculus - I wanted to confirm that I solved these problems correctly (we had to...

Precalculus(NEED HELP ASAP PLEASE!!) - cot(theta)= 3 pi < theta < 3pi/2 ...

Trigonometry - Thank you STEVE!!!!! Suppose that Cos (theta) = 1/square root 2 ...

Precalculus 2 - Similiarly to a question I asked previously I took the same ...

Algebra II - Multiple Choice Which expression is NOT equivalent to 1? (theta) ...

trigonometry - can you correct the rest for me please? Express each as a ...

trigonometry - can you correct the rest for me please? Express each as a ...

trigonomtry - can you correct the rest for me please? Express each as a function...

Precalculus(NEED HELP ASAP PLEASE!!) - PLEASE HELP!! csc(theta)= -3/2 3pi/2 <...