# maths

Xsin(theta)-Ysin(theta)=sqrtX^2+Y^2 and cos^2(theta)/a^2+sin^2(theta)/b^2=1/X^2+Y^2 then find correct relation

1. 👍 0
2. 👎 0
3. 👁 270
1. xsinθ - ysinθ = √(x^2+y^2)
cos^2θ/a^2 + sin^2θ/b^2 = 1/(x^2+y^2)

not sure what you mean by the "correct relation" We can solve for θ or solve for x and y.

(x-y)^2 sin^2θ = x^2+y^2

so, sin^2θ = (x^2+y^2)/(x-y)^2 and we have

(1-((x^2+y^2)/(x-y)^2))/a^2 + ((x^2+y^2)/(x-y)^2)/b^2 = 1/(x^2+y^2)

I don't know how you want to massage that, but it will remain messy, I'm sure.

I suspect a typo, since you have sinθ twice in the first line. I'd expected a cosθ there somewhere.

1. 👍 0
2. 👎 0

## Similar Questions

1. ### Math

1. Let (-7, 4) be a point on the terminal side of (theta). Find the exact values of sin(theta), csc(theta), and cot(theta). 2. Let (theta) be an angle in quadrant IV such that sin(theta)=-2/5. Find the exact values of sec(theta)

2. ### 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

3. ### 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.)

4. ### trig

Find csc(theta), tan (theta), and cos (theta), where theta is the angle shown in the figure. Give exact values, not decimal approximations c=10 b=7 a=7.14 the right angle is locate between sides a and b and the theta angle is an

1. ### trig

If sin theta is equal to 5/13 and theta is an angle in quadrant II find the value of cos theta, sec theta, tan theta, csc theta, cot theta.

2. ### Trigonometry

1. sin^2 theta+cos theta=2 (Hint: Use the Pythagorean identity sin^2 theta+cos theta=1 to replace sin^2 theta in the given equation.) I got no solution

3. ### Precalculus

Which of the following are trigonometric identities? Select all that apply (there are 3 answers). A cos^2(theta)=sin^2(theta)-1 B sin(theta)=1/csc(theta) C sec(theta)=1/cot(theta) D cot(theta)=cos/sin(theta) E

4. ### Calculus

Which is the correct cofunction identity for (tan theta?) A csc(90degrees - theta) B sec (90degrees - theta) C sin (90degrees - theta) D cos (90degrees - theta) E cot (90degrees - theta)

1. ### math

tan theta= 15/8 and pi< theta

2. ### Diagonalize

construct a nondiagonal 2 x 2 matrix that is diagonalizable but not invertible. Just write down a diagonal matrix with one zero on the diagonal and then apply an orthogonal transformation. E.g. if you start with the matrix: A = [1

3. ### Trig

Which expression equivalent to: cos(theta + pi/2). A)cos theta B)-cos theta C)sin theta D)-sin theta my book doesnt give examples of this but my crack at it would be C b/c distributive property? and 2cos theta = sin theta