CALC HW
posted by anonymous .
FIND THE X VALUES OF ALL POINTS, 2PI LESS THAN OR EQUAL TO X LESS THAN OR EQUAL TO 2PI, WHERE Y=X+B IS TANGENT TO Y=X+BSINX.
I KNOW THE ANSWER IS PI/2 AND 3PI/2, BUT WHY AREN'T THEY PLUS OR MINUS.
If they are tangent, they have the same coordinates, and the same slope.
y=x+b
y=x+bsinx
subtracting the first from the second..
0= b(sinx1)
sinx=1 x=PI/2 or x=3PI/2
slope:
both 1. The answers are pI/2, 3PI/2
Respond to this Question
Similar Questions

trig
What seven points of x can I put on the x axis over the interval 2pi less than or equal to x less than or equal to 2pi 
PreCalculus
Find the rectangular equation of the curve whose parametric equations are x=2sin t and y=cos t, where 0 less than or equal to tis less than or equal to 2pi. How do I do this? 
i lied. very quick calc problem.
f(x) = abs(sin(x)), pi less than or equal to x less than or equal to pi g(x) = x^2 let H(x) = g(f(x)) i got that H(x) would equal sin^2(x). THIS IS WHERE I AM STUCK! find the domain of H. do i still need to account for "pi less than … 
calculus
find the points on the graph of y=secx where the tangent is parrallel to 6y4x=8. (0 is less than or equal to x and x is less than or equal to 2pi). Use exact values. 
Trigonometry
a. Find the exact value of sin (theta  pi/6) b. Find the exact value of cos (theta  pi/4) c. For what numbers x, 2pi less than or equal to x less than or equal to 2pi does cos x = 1 d. What is the range of the cosine function? 
trig
Solve cos x1 = sin^2 x Find all solutions on the interval [0,2pi) a. x=pi, x=pi/2, x= 2pi/3 b. x=3pi/7, x=pi/2, x=2pi/3 c. x=3pi/7, x=3pi/2, x=3pi/2 d. x=pi, x=pi/2, x=3pi/2 
Calculus c
Let f be a twicedifferentiable function defined on the interval 1.2 less than or equal to x less than or equal to 3.2 with f(1)=2. The graph of f', the derivative of f, is shown on the right. The graph of f' crosses the xaxis at … 
Calculus
Let f be a twicedifferentiable function defined on the interval 1.2 less than or equal to x less than or equal to 3.2 with f(1)=2. The graph of f', the derivative of f, is shown on the right. The graph of f' crosses the xaxis at … 
Calculus
Find all solutions to the equation with 0 is less then or equal to a is less then or equal to 2pi Give an exact answer if possible, otherwise give value(s) ofa accurate to at least four decimal places. 4tan(a)+5=2 a= how do i find … 
Algebra2
Find the values of the inverse function in radians. 1. sin^1(0.65)?