# Anonymous

Give the exact intersection point for the equations f(x)=4sin^2x+7sinx+6 and g(x)=2cos^2x-4sinx+11

Ok, my result is that there is no intersection point because if you put f(x)=g(x) and try to solve for x or the intersection point, the LS f(x) is not possible, so there is none?

OK can someone just clarify for me if I have this right? Explain please thanks!

1. 👍 0
2. 👎 0
3. 👁 372
1. set them equal
2cos^2x-4sinx+11=4sin^2x+7sinx+6
2-2sin^2x-4sinx+11=4sin^2x+7sinx+6
-6sin^2x-11sinx+7=0
check that.
(3sinx+7)(-2sinx+1)=0
sinx=-7/3 not possible
sinx=1/2 x=330deg

check.
f(x)=4(1/4)+7(1/2)+6=10.5
g(x)=2(3/4)-4(1/2)+11=10.5

check me

1. 👍 0
2. 👎 0
👨‍🏫
bobpursley

## Similar Questions

1. ### Linear Algebra

Let L be the line with parametric equations x = 2+3t y = 3−2t z = 2+t Find the shortest distance d from the point P0=(−5, 1, −4) to L, and the point Q on L that is closest to P0. Use the square root symbol '√' where needed

2. ### 7th grade math help Ms. Sue

3. Which of the following equations has an infinite number of solutions? (1 point) 3x – 3 = –4x 2y + 4 – y = 16 7x + 5 = 4x + 5 + 3x 6y – 2 = 2(y – 1) 5. Write an inequality for the word sentence: k is less than zero. (1

3. ### Linear algebra

Let L be the line passing through the point P(−2, −2, 2) with direction vector d=[1, −2, 3]T. Find the shortest distance d from the point P0(−4, −4, −5) to L, and the point Q on L that is closest to P0. Use the square

4. ### math

Draw a line that goes through point B. Draw a line that intersects the first line, but not at point B. Measure the distance of point B to the intersection. On the second line, draw point B′ that is the same distance from the

1. ### calc

Suppose a curve is traced by the parametric equations x=1sin(t) y=18-3cos^2(t)-4sin(t) At what point (x,y) on this curve is the tangent line horizontal?

2. ### Math

Multiply then use fundamental identities to simplify the expression below and determine which of the following is not equivalent (2 - 2cos x)(2 + 2cos x) a.4 - 4cos^2 x b . 4 - cos^2 x c.4/(1 + cot^2 x) d. 4sin^2 x e.4/(csc^2 x)

3. ### Math

Would someone verify these answers. 1. A person waves his hand back and forth, where their finger tips move past the starting position 4 cm in each direction. If he waves 20 times every 15s, what sine equation models the movement

4. ### Calc. 3

Let C be the curve of intersection of the parabolic cylinder x2 = 2y, and the surface 3z = xy. Find the exact length of C from the origin to the point (4,8,32/3).

1. ### mathematics! Can Someone Help Me?!!

Let L be the line passing through the point P=(−4, −3, −5) with direction vector →d=[3, −1, 3]T. Find the shortest distance d from the point P0=(1, −1, −1) to L, and the point Q on L that is closest to P0. Use the

2. ### pre-calc

find the exact value of the given expression. Thank you! tan(1/2cos^-1(9/10)

3. ### trig

2cos^2 22.5-1 (find exact value)

4. ### Math: Parametric Equations

The graph of the parametric equations x=cos(t) y=sin(t) meets the graph of the parametric equations x=2+4cos(s) y=3+4sin(s) at two points. Find the slope of the line between these two points. So far I've set up the system of