Given, w=2iz - sin iz. Find i dz 2+ cos iz -2- cos iz -2+cos iz -2+cos z

Q: Find ди ds if w = sin(xyz), x = 1 - 3t, y=e¹-t, and z = 4t, find o

A:

Q: dw Given, w 2iz- sin iz. Find i dz o-2+cos z -2-cos iz -2+ cos iz 2+cos iz

A: option (c) is Correct

Q: Find : dw/dk α w=2 sin m ka 2

A: To find dw/dk for the given w

Q: az -? Since it is du coSV.y=. av ) z = In (xry*),x = e"cosv.y= e"sinvr

A:

Q: | 12sin z cos zý3 sin? z + e® dz

A:

Q: If x = t + 2 sin(at), y = 3t – cos(nt), evaluate at t =;

A: Given that x=t+2sinπt, y=3t-cosπt, we have to find dydx at t=12. Now, dydx=dydtdxdt…

Q: Given f(x,y,z) = cos(4xy) + sin(4z). Find f,(8,9,0)

A: We can find the answer as below.

Q: Given f(x,y,z) = cos(4xy) + sin(4z). Find f,(8,9,0). Leave your answer correct to two decimal…

A:

Q: find area Inside the oval limaçon r = 4 + 2 cos 0 Inside the cardioid r Inside one leaf of the…

A:

Q: The rose - Firnt patal is given by the equation Select one: OT= 5 sin 80 where 0 E [0, 27]. OT=5 cos…

A: Given:          From the above graph the rose has 8 petals.    The polar equation r = b.coskθ , 0 ≤…

Q: In AXYZ with a right angle at Y, the cosine ratio can be used to find the length of XZ as O a) XY…

A:

Q: What must be the value of A so that cos(r + y)- cos(r-y) = A sin a sin y? %3D O 2 no correct answer…

A: In trigonometry, cos(x+y)=cos x·cos y-sin x·siny and cos(x-y)=cos x·cos y+sin x·siny

Q: dw Given, w=2iz – sin iz. Find i dz - -2+cos z -2+cos iz o 2+ cos iz -2-cos iz

A:

Q: If I, = e cos" zdr, where n > 2, Prove that i) I, =1-n e sin z cos"- rdr

A: Given,  In=∫0π2e-xcosnxdx solving by using Integration by parts, Formula of integration by parts,…

Q: Given z = 2 cos t + 26 and y = 5 sin? t dz dy dy dz

A: Derivative of function in parametric form

Q: Find the general antiderivative. If the substitution method is used, state first u, du and [lu)du.…

A:

Q: With the hints of using the relationship sin (r) + cos²(r) = 1 and choosing u = sin(r) integrate /…

A: To evaluate: I=∫cos3(x)sin4(x) dx=∫cos2(x)sin4(x) cos (x) dx=∫(1-sin2(x))sin4(x) cos (x) dx

Q: Given that z = 4 ( cos· 4 +i sin) and w = 1 – iv3. Find 4. %3D a) 2 w b) E c) arg (-), in radians as…

A: Since you have asked a question with multiple parts in a single request, we would be answering only…

Q: Determine c1 and c2 so that y(x) = c1 sin 2x + c2 cos 2x + 1will satisfy the conditions y(?/8)= 0…

A:

Q: Which of the following is true? | sin“ zdz (1+ cos a + cos² 2æ)²dx Ob. sin zdr = (1 – cos 2z)²dæ 2 1…

A: Given data: ∫sin4xdx We know that 2sin2x=1-cos2x Therefore, we get…

Q: Let z(x, y) = xy where x = r cos(80) & y = r sin( - 50). %3D | дх ду дх ду & ar' ar' a0 az dz & ar…

A: Let z = f(x,y), then,   ∂z∂r =∂z∂x · ∂x∂r + ∂z∂y · ∂y∂r   ∂z∂θ =∂z∂x · ∂x∂θ + ∂z∂y · ∂y∂θ

Q: Let z x = 2 cos u, and y 3 sin v. Find dz in terms of u and v. %3D Provide your answer below:

A:

Q: 18.) Suppose x = R cos(0) sin($), y = R sin(0) sin($) and z = x² + y? + z? = R²Y R cos(). Verify the…

A: Given

Q: Find LT of (i) e(2 cos 5t – 3 sin 5t) 3t (ii) e²ª cos? t (iii) e* sin 2t cos t

A:

Q: If f(1, y) = e“ sin 7y, then fay is given by: o - 28 et sin 7y O - 28 e“ cos 7y O 28 e" sin 7y O 28…

A: Given that: f(x,y)=e4x.sin7y

Q: Given y = cos(3x), find O O 3 2- * N O √3 3√3 dy at x = 5

A:

Q: Find S z? sin z dz

A:

Q: If /(sin(@))° cos(@)d0 = u' du, then u must be equal to Select one: O a. sin(@) O b. – cos(0) O c.…

A:

Q: dw Given, w=2iz – sin iz. Find i dz -2+ cos z 2+ cos iz -2+ cos iz -2- cos iz

A:

Q: What are the values of and cz so that y(x) = cq sin(x) + c,cos(x) will satisfy the conditions y(0)…

A: Given y (x) = c1 cos(x) + c2 sin(x)and y(0) = 1,   y'(π) = 1

Q: Given that r = 3 cos nt, y = 3 sin at and z 4nt with 0<t <1. Evaluate (x+ 2) ds.

A: The line integral is defined as,

Q: Given f(x,y,z) = cos(4xy) + sin(2z). Find f,(1,2,0). Answer:

A:

Q: Find y' for y=3 sin?x+3 cosx. A O .BO 5 .CO sinx .D O cos x

A: using formula for first derivative of trignometric function

Q: Q7. If z = (+ i), then (z)³ = a. 2/2[cos () + sin()1 b. [cos () + sin ( )]

A: Solution:

Q: Which of the following is equal to s v² cos (v³)dv ? A sin 1 8 jsin 1 O Option 1 Option 2 D. sin C.…

A: The solution is Option B 13sin(1)

Q: Assume that x, y ER and z = x + iy E C and answer the followings: 1. Evaluate sin(i) =?, cos(i) =? ,…

A: Since the questions contains many subparts as per the guidelines I am answering the first three…

Q: Given f(x,y) = e X cos y, Evaluate fx(0,2) cos 2 -sin 2

A:

Q: dw Given, w=2iz – sin iz. Find i dz 2+ cos iz -2+ cos z -2- cos iz -2+ cos iz

A:

Q: Solve for sin(z) cos(z) — sin(z) = 0, when 0 ≤ ≤ ≤ T. z a) x = 0, π, F. 5 O b) x = 0, п O c) x =…

A: Topic:- trigonometry

Q: Q2:- Find fo, fe , fo if f(p, 0,¤) = p² cos ¢ sin 0. cos O sin 0

A:

Q: Given f(x,y,z) = cos(3xy) + sin(3z). Find f,(8,2,0). Answer:

A:

Q: 0, o° s 0 < 360°, given the follo Cos e = and 0 in QIII 2.

A:

Q: Which is equivalent to ſ sin y cos(/2) dy? C/2) dy? a.) S [sin("/2) – sin ("/2)] • dy b.) S sin("/2)…

A: The given integral is: I=∫sinycosy2dy As according to trigonometric formula:…

Q: The value of 6 Jo° (4+ cos2x)dx is: 글(똥-0.5) 1 ( 47 4T 글(똥 +0.5) 3 None 글(품 + 0.5) 1 4 3

A:

Q: I sin(z) cos(z) da : Hint:

A: Given integration is, ∫xsin(x)cos(x)dx We know that, 2sin(x)cos(x)=sin(2x) Now, the integration…

Q: ди du and ar if u = e" cos 0 . cos(r sin 0) (1) Find

A: It is partial derivative

Q: Find the length of the cardioid r = 1 – cos 0.

A:

Q: A) Let w = 4x2 +4y² + z?, x = p sin o cos e, y = p sin o sin 0, z = pcos o. Find aw/ap, aw/a6, and…

A: "Since you asked multiple questions we will solve the first question for you. To get any specific…

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.