Maths - crazy maths question which involves graphi

This is a question that involves graphing although I'm not very good at it especially Trigonometric Functions >_<

a) Find the equation of the tangent to the curve y = sinx at the origin

For part (a) I've already found the equation its: y = 0

b) Using a graph or otherwise, state the number of solutions to the equation sinx = x

c) Let m (tangent) be a positive number. For what set of values does the equation sinx = mx have exactly 3 solutions satisfying -π ≤ x ≤ π

  1. 👍 0
  2. 👎 0
  3. 👁 110
  1. If y = sin x
    then the slope is cos x
    which is one at the origin or 45 degrees or
    y = x is the equation of the tangent to y = sin x at the origin.

    sin x is >/=-1 and </= +1
    so this whole thing will only work between x = -1 and x = +1
    Now in part a we decided that y = x hit the y = sin x curve at the origin. Does it hit anywhere else? No, look at your graph.

    Again look at your graph.
    If m is greater than one, the y = mx hits y = sin x only at the origin
    For m = 0, it hits at x = -pi, 0, and pi
    for x >0 and less than 1, it hits in the first quadrant, at zero and in the third quadrant
    so
    0<m<1

    1. 👍 0
    2. 👎 0
    posted by Damon

Respond to this Question

First Name

Your Response

Similar Questions

  1. Math

    Hey! So I'm horrible when it comes to graphing inequalities, I'm good at solving them, just not graphing them. Could I have some help with this question? Which inequality matches the graph? 4 B. 3x + 1 ≥ 4 C. 3x + 1 < 4 D. 3x +

    asked by CellLover727 on January 15, 2020
  2. Trigonometry

    Write the expression as a trigonometric function of only θ, and use a graphing utility to confirm your answer graphically. cos((9π/2)-θ

    asked by Thomas on March 1, 2019
  3. psychology

    Any situation that involves learning a)requires some relatively permanent change to occur b)requires a great deal of effort. c)involves conscious determination d)is relatively automatic I'm working on my assignment and I am stuck

    asked by love4965 on March 16, 2012
  4. TRIGONOMETRY

    Write the following trigonometric expression as an algebraic expression in x free of trigonometric or inverse trigonometric functions sin(cos^-1 x) -1≤x≤1

    asked by Matthew on December 4, 2012
  5. Math(Correction)

    Use the given function values and trigonometric identities (including the relationship between a trigonometric function and its cofunction of a complementary angle) to find the indicated trigonometric functions. sec Q = 5 tan Q =

    asked by Mark on March 23, 2010
  6. Math(Correction)

    Use the given function values and trigonometric identities (including the relationship between a trigonometric function and its cofunction of a complementary angle) to find the indicated trigonometric functions. sec Q = 5 tan =

    asked by Mark on March 23, 2010
  7. Math

    Use the given function values and trigonometric identities (including the relationship between a trigonometric function and its cofunction of a complementary angle) to find the indicated trigonometric functions. sec Q = 5 tan =

    asked by Mark on March 23, 2010
  8. Calculus

    Use your graphing calculator to evaluate to three decimal places the value of ∫ 0.5 to 3 ((sinx)/x)dx. I don’t have a graphing calculator so can I please have some help with this question? Thank you in advance!

    asked by Emily on January 25, 2019
  9. Human Resources

    Which of the following is a correct statement about dejobbing? A. Dejobbing involves viewing organizations as a field of work to be done .B. Dejobbing involves the downsizing or elimination of jobs .C. Dejobbing involves

    asked by Paul P on November 13, 2015
  10. trig

    Why do you have to leave one side alone when proving a sentence to be true? This question relates to identifying trigonometric identities to be true, however, my teacher says this question applies to everything. I do not

    asked by John on January 18, 2010

More Similar Questions