Sketches of y=sinx,y=cos× and y=tanx on separate sets of axes if xe(0°;360°)

Q: Determine the period of the sinusoidal function y = 0. 75 cos 7x – 0. 5.

A:

Q: tan'y - ycosx = sin? x + find y',y" If

A:

Q: Suppose y = sina, which is TRUE about y? 1 Oy= sin O none of the above y 0 *= arcsing O * = sin y

A:

Q: 1 |+tan¬(x), then x2 dy If y=cot-= dx

A:

Q: y (-1, 1) sin(e) cos(e) ante

A: The coordinate (-1,1) is in second quadrant in the below figure. The perpendicular is 1 unit, base…

Q: Sketch a graph of x = -3 + cos(t), y =1+ sin(t), 0 < t < 27 COS 5+ 4-

A: Given: x=-3+cos(t)y=1+sin(t)

Q: dy dx 1+8sin ?x 1 Given tan(3y)=3 tan x . Show clearly that

A: As we know that; The chain rule: fgx'=f'gx·g'x   The trigonometric identities; 1). tanx=sinxcosx 2).…

Q: If y=a cos(sinx)+b sin (sin x) then y"+(tan x)y'+cos2x=0

A:

Q: Differentiate.

A:

Q: Assume that a particle’s position on the x-axis is given byx = 3 cos t + 4 sin t,where x is measured…

A:

Q: 2 + sin x Differentiate Y x + cos

A:

Q: 8. y = sin(cos7x) %3D

A: It is given that, y=sin(cos7x)   It is known that the derivative of sinx is cosx and derivative of…

Q: exp in)) (exp(- - ίπ) dxa 0.3679 cos TT - i sin Tt -0.3679 - exp(cos Tt - i sin Tt)

A:

Q: Graphs of y = sin 0 and y = cos0 over [0,2π].

A: as we know the value of sin 0 is 0  so the given equation becomes y=0 which forms an x- axis only…

Q: // Show that y" + y = 0, given that y = 2 sin x + 3 cosx

A: First find the first and second derivative of the given function then simply put and simplyfy

Q: Eliminate the parameter: I = sin 3t, y = cos 3t, 0 <t <T/3. = COS

A: x= sin 3t     and y=cos 3t     for    0≤t≤π3 We need to eliminate the parameter i.e. we have to…

Q: Show that y" + y = 0, given that y = 2 sin x + 3 cosx

A:

Q: Eliminate parameters A and B but not parameter C by differentiating x with respect to t. x=A sin…

A: The given equation is: x=Asin(Ct+B)

Q: cos2x a) -.dx,b) xe*. dy Į sin2x. [In(sin2x)]² + sin2x 0.

A:

Q: Q/ ind dy if 24-sini' (xe!)=sin'(x*)+ cos (x")

A: Given that      2y - sin-1(x2+1) = sin2(x4) + cos2(x4) Here we have to find dy/dx.

Q: Differentiate.  y =cos x /(1 - sin x)

A:

Q: Differentiate.   y  = Cos h -1(Sin h x)

A: Given inverse hyperbolic function - y = cosh-1sinhxUsing Chain rule, differentiating on both sides…

Q: 1- Calculate the value of y if: a- y= sin (0.25) + sinh (2).

A:

Q: Find y' and y". y = cos(sin(90)) y' %3D %3D

A: We have to find

Q: let y=[cos(2x-π)]3 Find y' at x=(π/6)

A: Compute the derivative as follows.

Q: C. tan 0 = 3 sin 0 over [0, 2n) %3D

A:

Q: What are the periods of these functions? (a) y = sin20           (b) y = sin 0/2 (c) y = sin20 + sin…

A:

Q: Trace the curve: r = 1/2 sinꝋcos^3ꝋ.

A: The equation of the curve is r=12sin θcos3θ. First check the the symmetry of the curve. The curve is…

Q: Demonstrate and derive the following Bernoulli's Equation. - 2y tan x = y² tan²x dx

A:

Q: dx 5) prove that sin x+c using method of trigonometric substitution. %3D

A:

Q: Discuss the similarities and differences between y = sin 0 and y = csc0 %3D %3D

A: Given: two functions- y=sinxy=cscx

Q: Let x = 0.46 and y = 4.74. Determine the value of C when you ev |tan-(2x)dx.(Use 2 decimal digit)

A:

Q: A particle is moving in space with position function R(t) = (cos(4t), sin(4t),5 – 3t) Determine the…

A: We will use concept of arc length in 3d We want to determine the length of a vector function,…

Q: Evaluate: | sech[In cosx]tanx dx A -2 tan -1(e cosx) +C В -2 tan -1(cosx) +C 2 tan -(ecosx) + C (D 2…

A:

Q: Find y' and y". . sin3y=x²+tany+1

A:

Q: Let x = 0.43 and y = 0.43. Determine the value of C when you evaluate tan-(2x)dx (Use 2 decimal…

A:

Q: sin Tt cos Tt dt

A:

Q: Recall that cos 'x = arcas x. find %3D 1/2 X sin(cou-x) dx

A: Answer

Q: Evaluate y' of y = tan-'(cosx).

A:

Q: TC In the equation y = sin-1 x, if =;, then y 1 %3D - х,

A: Given: y=sin-1x if x = 12, then  y=sin-112

Q: When using u substation what should I use as the u when the problem is the intergral of…

A: Explanation:The given integral is ∫cos3(θ)sin(θ)dθ.

Q: The appropriate trigonometric substitution for dx is V3x-x2 ww 3 X = 9 3 + sec 0 2 4 3 +sine x = O…

A: We have to solve

Q: At what point does the sine function y = sin x, cross the y axis? O (T, O) O (0,0) O (1,0) O (0,1)

A: Given  function is y=sinx. We have to find the point at which the function y=sinx cross the y-axis.…

Q: y = In(cos“ x ) %3D

A:

Q: The approximation of I = , tanx dx

A: The solution is

Q: sin?x d Prove that 2sinx dx \(1+cosx)² (1+cosx)²

A:

Q: ll solutions of the equation in the interva tan(x + T) + 2 sin(x + t) = 0

A:

Q: a) y=In(*). x tane 4 cos x y = 3x + sinx b)

A: Given: The functions are, a) y = ln ( x tan ex )

Q: Trace the curve r =1/2(sinꝋcos3ꝋ)

A: Given,            r =12sin(θ)cos3(θ)