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Write the equation of a sine or cosine function to describe the graph. a TT 2x...
OTRIGONOMETRIC FUNCTIONS Writing the equation of a sine or cosine function given its graph.... write an equation of the form y = a sinbx or y= a cosbx to describe the graph below. 3- JT D=0 31 3 151 - 2 -- X 5 ? rt
4. (a) Expand the given function in an appropriate cosine or sine series. (x) , , -1<x<0 05x< (6 marks) (b) Find the product solutions for the given partial differential equation by using separation of variables. U, +3u, = 0 (6 marks)
5. Write an equation of the form S(x)-Asin(ar + +8 for the sine function whose graph is shown below Equation 6. Graph the oriented angle-in standard position. Findtwo coterminal angles, one of which is positive and the other negative. It is not necessary to graph the coterminal angles, but state their measures in radians below. Positive coter minal angle Negative coterminal angle
Fourier transform of a rectangular pulse is a: Tan function Cosine function Sinc function Sine function Question 28 1 pts Every periodic function can be expressed as a linear combination of: Sine and cosine functions Sine functions Logarithmic functions None of the above
(7) Determine the amplitude, period, midline, and an equation involving cosine for the graph that is shown below: -0.5 A TT/4 TT/2 311/4 TT -T/4 5T1/4 31112 7T1/4 --0:5
Expand each function into its cosine series and sine series representations of the indicated period T. Determine the values to which each series converges to at x = 0, x 2 and x =-2. b)f(x)= e. T=2π 0S2 2.2Sx<3 T=6 Expand each function into its cosine series and sine series representations of the indicated period T. Determine the values to which each series converges to at x = 0, x 2 and x =-2. b)f(x)= e. T=2π 0S2 2.2Sx
Write the equation for the following graphs: 5. (positive cosine function)
2-6 Find the exact values of the sine, cosine, and tangent of the angle 165º = 135° + 30° sin(165°) = COS(1650) = tan(165°) = 3. -/16.7 points LARPCALC105.5.017. Use a double-angle formula to rewrite the expression, 18 cos? x - 9 Write the expression as the sine, cosine, or tangent of an angle. sin 60° cos 5° + cos 60° sin 5° 5. -16.66 points LARPCALC10 5.5.025. Rewrite 2 cos 4x in terms of cos x. 6. - 16.66...
Problem 4. Let 0<4 g(r) ecos (a) write the Fourier cosine series and the Fourier sine series respectively. (b) Draw the graph of the function g(r) and state which series is better and why. Problem 4. Let 0
Write each expression in terms of sine and cosine, and then simplify so that no quotients appear in the final expression and all functions are of only. csc?(-6)-1 1 - cos?-0) csc?(-0)-1 1 - cos ?(-)