posted by .

Solve:
sin(theta)+cos(theta) = 1
0 < or equal to theta < 2pi

Solution Set:__________ ?

• Precalculus(NEED HELP ASAP PLEASE!!) -

sin T +sqrt (1-sin^2T) = 1
sqrt(1-sin^2T) = 1 - sin T
1 - sin^2 T = 1 - 2 sin t + sin^2 T

-sin^2 T = -2 sin T + sin^2 T
2 sin^2 T = 2 sin T
sin T = 1
T = 0
That tells you something. The only places this happens are when sin = 0 or cos = 0
That is at 0, pi/2, pi, and 3 pi/2

• Precalculus(NEED HELP ASAP PLEASE!!) -

Oh, and then only when the one that is not zero is +1, not -1

• Precalculus(NEED HELP ASAP PLEASE!!) -

Damon I don't understand you 2nd post but is the answer: 0, pi/2, pi, and 3 pi/2 ??
If it is.. then unfortunately its not the correct answer. Do you think you went wrong somewhere?

• Precalculus(NEED HELP ASAP PLEASE!!) -

sin T = +1 when T = 90 degrees , pi/2
cos T = 1 when T = 0 or 2pi

if T = 0 for example
sin T = 0
cos T = 1
and sin T + cos T = 1
So that just plain checks.

## Similar Questions

1. ### Calculus

I wanted to confirm that I solved these problems correctly (we had to convert the polar curves to Cartesian equations). 1.rcos(theta)=1 x=1 2.r=2*sin(theta)+2*cos(theta) r^2=2rsin(theta)+2rcos(theta) x^2+y^2=2y+2x (a little unsure …
2. ### Precalculus(NEED HELP ASAP PLEASE!!)

Solve: sin(theta)cos(theta)-sin(theta)−cos(theta)+1 = 0, 0 < or equal to theta < 2pi Solution Set: ____________ ?

5. ### Precalculus(NEED HELP ASAP PLEASE!!)

cot(theta)= 3 pi < theta < 3pi/2 Find: sin(theta)= -1 ?
6. ### Precalculus check answers help!

1.) Find an expression equivalent to sec theta sin theta cot theta csc theta. tan theta csc theta sec theta ~ sin theta 2.) Find an expression equivalent to cos theta/sin theta . tan theta cot theta ~ sec theta csc theta 3.) Simplify …
7. ### Precalculus check answers help!

1.) Find an expression equivalent to sec theta sin theta cot theta csc theta. tan theta csc theta sec theta ~ sin theta 2.) Find an expression equivalent to cos theta/sin theta . tan theta cot theta ~ sec theta csc theta 3.) Simplify …
8. ### Precalculus 2

Similiarly to a question I asked previously I took the same approach. the problem is: what value(s) of theta solve the following equation?
9. ### Trigonometry

Thank you STEVE!!!!! Suppose that Cos (theta) = 1/square root 2 if 0<equal to theta , pi/2 then sin(theta) = tan (theta) = If 3pi/2 less than equal to theta , 2pi then sin(theta) = tan (theta) = I know the trig functions but I feel …
10. ### Precalculus

Circle O below has radius 1. Eight segment lengths are labeled with lowercase letters. Six of these equal a trigonometric function of theta. Your answer to this problem should be a six letter sequence whose letters represent the segment …

More Similar Questions