9) On the grid below, graph y = sin(x), y = cos(x), and y = tan(x). 2

Q: 4x +1 = cos y?

A: According to guidelines we should have been able to solve only one question at a time

Q: (7) Find the lengths of the curve r =2/(1 - cos 0), a/2<0<n.

A:

Q: -y = tanh" (cos e* ) ||

A:

Q: 8. 4 sin(at +b), where a and b are constants.

A:

Q: If y = cos? x – sin? x, what is y? X - х, | dx

A:

Q: 1) Compare the formulas for Sin(A+B) and Sin(A-B) State Sin(A+B)= !! State Sin(A-B)= How are they…

A:

Q: 4-If y= cos 8t , find the frequency (w) and the fundamental period(T.) 5-If: y = (sinx+1) (cosx+1)'…

A: We know that, The fundamental period(T0) of cos(x) = 2.pi                            if cos(ax) = (…

Q: x = cos(30), y = 2 sin(0).

A: The parametric equations are given as, The the corresponding derivatives are calculated as,

Q: 4. The voltage signal from a standard wall socket can be described by the equation V (t) = 325…

A:

Q: is If У%3D2х arccos x - 2/1-х? then dx

A: We differentiate both sides with respect to x and then solve it.

Q: Suppose that at any given time t (in seconds) the current i (in amperes) in an alternating current…

A: For any function , ft , which is continuous and twice differentiable.f't=0 will give point of…

Q: The general solution of y 'tanx sin2y = sin?x + sin?y is

A:

Q: 44. Use the accompanying figure to show that sin-x dx. sin x dx y = sin y = sin x

A:

Q: Determine an equation of the graph shown below. 4 21 y = 3 sin 2 x- - 1 Oy- -2 cos 2x y = 3 sin 2 x+…

A: Graph: In a cartesian coordinate system, a graph represents the points of the form x, y, where y is…

Q: 2y у'+ — х?у? sin x %3D

A:

Q: 1. Find 2 for y defined implicitly by the equation tan(x?y*) = 3x + y?

A:

Q: 3. Explain graphically: cos x dx = 0.

A:

Q: If u = tan -1 x- the value of x2 +y?+xy du at x = 1 and y = 3 is

A:

Q: 1 is 1 H.W Find y' for y = ecosx * tan-1(5x) * (5x² + 1) ?

A: for y , y'=?

Q: Given equation is dy - sin(x + y) dx

A: Given equation is: dydx=sin(x+y)Let x+y=t⇒1+dydx=dtdx⇒1+sin(x+y)=dtdx Put x+y=t, we…

Q: 13 9 2 cos dx dy dz =| 0 0 3y (Туре an exact answer.)

A:

Q: 15. For fe' cos x dx, what is du? cos x e' dx - sin x dx G(e* cos x + e" sin x) + C

A: The given question can be solved as shown in step2.

Q: y = Ceax cos(bx) + C2eax sin(bx); a and b are parameters y = Ce2x cos(3x) + Cze2* sin(3x)

A:

Q: Differentiate: y = cos(5 e* ) e11 COS

A: Ans is. option a)

Q: A coil of inductance 1 henry and a resistance of 20 ohms is connected to ar emf E = 200 sin(20t),…

A:

Q: 3) y' + y = cos(e*)

A: We have to find the general solution of the first order linear differential equation

Q: 3. x = cos³ 0, y = sin 0 4

A:

Q: 4. y= e (A cos x + B sin x),

A: Formation of differential equations: As a rule, one reqruires  n+1 relations to eliminate n…

Q: CoS X • dx Caleulate 4.3 sin x 2.

A:

Q: -2п a) cos 3 b) cot 45° 3 с) у%3D sin-1 /2 d) y = arccos 2.

A: Since you have posted multiple subparts, as per our policy we will answer first three subparts.…

Q: sheet 1 Salve the following -(0°+4)y=sin2x Ans. ypニーX cos.2X P=ーx2 %3D 5- (0-20-)y=ecost X2

A: Hello. Since your question has multiple parts, we will solve the first three parts for you. If you…

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

A:

Q: 8. y"+y = 3 cos 2.xr,

A:

Q: Graph the nephroid of Freeth: r = 1 + 2 sinu/2

A: This graph has period: We try to find x and y coordinates for this graph. theta x y 0 1 0…

Q: ez² cos(z) dz .

A: In this question, we use the Cauchy theorem for f(z).

Q: 9. 3 cos(wt –@), where w and a are constants.

A: We use first Cos(a-b)=cos(a) cos(b)+sin(a)sin(b) and then we use Laplace transform of…

Q: ∫sin^6 y cos^4 y dy, limits from 0 to pi/2

A: Consider the definite integral ∫0π/2sin6y cos4y dy to solve this integral, use the below reduction…

Q: 19. z = sin (20), y = cos 0;

A: We have to find

Q: Find and y" for y = 0 cos e. %3D

A: y=θcosθdiff w.r.t θdydθ=-θsinθ+cosθdydθ=cosθ-θsinθ y'=cosθ-θsinθ

Q: Graph the epitrochoid with equations x  =11 =cos t - 4 cos(11t/2), y = 11 sin t - 4 sin(11t /2)

A:

Q: 10. cos (1/) dx

A: We have to evaluate the indefinte integral as shown below:

Q: 4. Find du for the equation 3y? – cosy = x° -

A:

Q: 2π π14 cosφ SSS p' sinødp døde 0 0 0

A:

Q: y 2+ TT 3 2 -2+ -37

A:

Q: Write an equation of the form y = a sin bx or y= a cos bx to describe the graph below. Ty 0 1 nin 1…

A:

Q: 7/2 d sin dx dx COS

A:

Q: 7+2 sin y -dy = D cos ?y

A: on solving this we get the

Fundamentals of Trigonometric Identities

Trigonometric Identities are the equalities that involve trigonometry functions and hold for all the values of variables given in the equation.