dy dzy B) Find and if x = sin? 3z and y = tan 3z dx dx2

Q: If sin y =x sin (a +y) then show that dy sin (a +y) (a is not multiple c dx sin a

A:

Q: dy If x=5+cos20 and y=3- sin20 , what is ? dx

A: The solution for the above question is as shown below.

Q: dy If y = sin='(cos x) then dx ||

A:

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

A:

Q: 4X dy 2siny ?) S dy sinzx e 3) S sin? dx

A:

Q: F ind So S. eu dy dx.

A: Use the concept of reversing the order of integration. While integrating with respect to one…

Q: d²y dy and - dx B) Find if x = sin? 3z and y = tan 3z dx2

A:

Q: Find dy/dx if 3 (cos y) (sin x) = y

A:

Q: dy Find dx if e cos r 1 + sin(ry)

A: Differentiation is the rate of change in the value of dependent variable with respect to the change…

Q: Given dy find 36 Cos 6x y' dx sin 6x + c 6 sin 6x + c O-6 sin 6x O-36 sin 6x

A: here option a is true.

Q: dy d²y B) Find if x = sin² 3z and y = tan 3z and dx dx2

A: We differentiate the function.

Q: If y = cos? x – sin? x, what is ? dx dy dy = 2(cos x – sin x) dx dx Option 1 Option 4 dy dy -2(cosx…

A:

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

A:

Q: A. Find dy dx 9. sin y = In(x + y)

A:

Q: dz Find dy x? sin(2y – 5z) =1+y cos(6za)

A: The given equation is: x2sin(2y-5z)=1+ycos(6zx) To find ∂z∂y, differentiate above equation w.r.t. y…

Q: d²y dy and dx Find if x = sin 3z and y = tan23z dx2

A: It can be observed that both the variables x and y are the functions of  z, therefore to find the…

Q: 2 dy Is y = sin t, a solution to = 1 – y? Justify-

A: We will prove the given statement.

Q: If ſ x sin x cos x dx = xsin²x + Ax + B sin 2x + C, what is the value of A + B?

A: The given integral is, ∫xsinxcosxdx=12∫x(2sinxcosx)dx=12∫xsin2xdx=12∫xsin2xdx=12I1

Q: dy If y= sin(sin x), then dx o cos x cos(sin x) o cos(sin x) O cos 3x cos-(sin x)

A: Solve the following

Q: find dy Say y=3 Sin 8)

A:

Q: du = 3 and dx dy = cos u, find the du dy Given y = sin(3x – 2). If dx 3 cos(2x) 3 cos(3x) 3 cos(3x –…

A: Topic:- derivatives

Q: rcosA 2. r sin 0 dz dr de

A:

Q: x4 1 If u = tan(- + y° x² – y² - then show that ди du + Y- ду X - = sin2u dx

A:

Q: sin(x+y)=xy  what is dy/dx?

A:

Q: dy Let y=e* sin 3x. Show that 3e-2* cos 3x - 2y. dx -2x d'y = -13y-4- dr Hence show that dx

A:

Q: If x = t +cos t, y= sin t, find d^2/dx^2

A: Given that      x=t+cost , y=sint  Here we have to find d2y/dx2 .

Q: Find dy/dx if y³ = In x* Answer: Find dy/dx if sin-(2y) = x® + yª Answer: Find dy/dx if In(x*y) = 2x…

A:

Q: w= Cos (x+y) + Sin (X-4) Show that dy?

A:

Q: 25 a²y(cos(Tz) +2) dæ dy dz

A:

Q: if y^3 + y = 2 cos x, find the value of d2y/dx2 at the point (0, 1).

A: Given,

Q: dy 2y 4. If tan(xy) +5= xy then show that dx?

A: tan(xy)+5 =xy Show that

Q: find dy/dx and dy/dx2, if : x = a(cosθ + θsinθ) and  y = a(sinθ - θcosθ)

A:

Q: If y = cos2x then dy/dx

A:

Q: ,2x Set* sin(e2*)dx

A:

Q: 2X Qul If y = Fird dy e %3D (x? +1) (I+ sinx)

A: We use logarithmic differentiation

Q: 8. y = Jcos x – 4 sin(1 + x3

A: To give what is asked. To find dydx. To show the solution. y=cos x-4 sin1+x13

Q: 3- dx for y x sinx is equal to: a)2x cosx b) 2x sinx + cosx 2x c)x cosx+ sinx 2x

A:

Q: tan (e) 1+z* (d) (22+ cosh 2z)dz () z coshz dz zp-

A:

Q: If y = (sin¬1 x)², show that dy (1 – x²) da? dy = 2. dr

A: y=(sin-1x)2 we have to show  (1-x2)d2ydx2-xdydx=2

Q: dy is: If y = tan(47x²) then dx

A:

Q: Find the solution of sin 3ædx + 2ycos³3xdy = 0 O y? = sec 3xtan 3x + C O y? = -sec 3ætan 3x + C O y?…

A:

Q: Find dy dx if sin(x + y) = tan(xy)

A:

Q: ) Solve to find if y = sinvt – t, and t = cos (2x) – secx dx

A: Given: y=sint-tt=cos(2x)-secx To find: dydx

Q: cos(xy) + sin(x/y) = 2y find dy/dx at point (pi,1)

A:

Q: Find dy/dx in terms of x and y if cos² (4y) + sin“(4y) = y + 8. %3D

A:

Q: dy If x = t? cos? 3t y = 3 sin 3t find dx

A:

Q: B) Find and It x sin 3z and y= tan 3z dx

A: x=sin23xy=tan 3xWe need to find dydx and d2ydx2.

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.