sin x 15. у 3D cot x 17. у 3 16. у 3D' secx -4cse x cot x

Q: ind the slope of the tangent line to the curve 4 sin(x) + 5 cos(y) − 5sin(x)cos(y) + x = 3π at the…

A: To find the slope of the tangent line of 4sin x+5cos y-5sin xcos y+x=3π, differentiate it and…

Q: 1. y = 3 sin x – 4 cos x 2. y = x³ tan x 3. f(x) = cos x 1+sinx 4. y = csc x cot x f(x) cin?

A:

Q: luaté the lntegr sec2 x Vtan x xp= sec x . tanх + С 2ysec x + C 2/tan x + C

A: We will use substitution method to find the integral of given expression.

Q: 8. (x- cosh(sin(x – y)))= X' 9. (x- cosh(sin(x – y 10. V+coshz avôz

A: To find  The partial derivatives.

Q: 1. sin (5x + ) sin ( x + T /2) %3D 2. tan (3x – T/2 ) = cot 2x 3. COs (x + п /2) sin ( T /2 – 2x )…

A: Given that three trigonometry equation  To find fundamental solution of the question

Q: 2+ Cotx 3 3 tanx= 353 3 tanx = Cotx 3 %3D 313 3. 3 3

A: The solution is :

Q: 37. cot- V3 38. cot-1 39. csc-! (-1) 40. cse- V2 2V3 41. sec 3 42. sec- (-2) 43. cot 44. csc

A: Since you have posted multiple questions do we will answer the first question for you if u want any…

Q: cotx(secx-cos x)

A: We have to find  cotx (secx - cosx) We know that ,  cotx = cosx/sinx secx = 1/cosx  Then ,

Q: 5. cot(2x)[2+csc(3x)] 0 x &R 6. tantx - tan2x=-V3(1+tan4xtan2x) xE[-n,"|

A: We have to find the solution in radian

Q: 6 csc(-x) - -6 cot(x) sec(-x) %3D

A:

Q: tan x - cot x Cos 2x Cot X t tanX

A: Given: tanx-cotxcotx+tanx=-cos2x

Q: 1. y= sin 2x 2. y=2 tan.x 3. y= cot 3x

A: I have provided solutions in step2. because of our guidelines, we can answer only 3 questions so…

Q: i) sin 0+tan 0 1+sec 0

A: Givensin θ+tan θ1+sec θTo findsimplify thegiven tignometric function

Q: sec(2x)cot(2x)dr sin(x)cos(x)

A:

Q: 5. y = cot cot (sinx) 6. y = 5 sec sec (2x) + 20

A: We can solve question no 5 and 6 using chain rule as below.

Q: 1+ sin x 1- sin x 21. 1- sin x 4 tan x secx 1+ sin x sin (x + y) sin (x - y) tan x + tan y 22. %3D…

A:

Q: (secy y It Secx Sinx + tanx sec x t CSCX It tanx tan x y =

A:

Q: dy (sec x)- = ev+sin x

A: We can solve the given differtial equation using veriable separable method.

Q: proof

A:

Q: 3. (6れ)-) ANCTAN X (x+1) ² -y=ARCTAN

A: To expand the given function :

Q: sin 2x 4. tan x = %3D 1+cos 2x 19 5. tan %3D = CSC X - cot x

A:

Q: cos(x + y) cosx siny = coty – tanx

A:

Q: y=2sinh(In x) Find: (y')(x^2) 2. y=cot(sin x^3) Find: (y')(x^-2 sec x^3)

A: (1) Given yx=2sinhlnx We have to find the y'x2 Differentiate yx=2sinhlnx with respect to x…

Q: sec x—cscх sin x — сos x sec x•cscx

A:

Q: 1. y= 4+ sec 3x 2. y= 2 tan 3. y= cot(x +)

A:

Q: Sec(u) du = Ln/Sec (u)+ tan (w) + C (U) +

A:

Q: sin 3y cot 5y lim y→0 y cot 4y у cot

A:

Q: d -tan(z) = dz sec(x) O cot(x) O sec2(z) O

A: we have to find ddztanZ i.e we have to find derivative of Tanz with respect to z ddzTanz=sec2zdzdz

Q: Verify

A:

Q: (x² cosh(sin(x– y)): - »)= (x² cosh(sin(x – ))= v+coshz ôvôz

A: As per the guidelines I could solve only part 8. But as part 9 and 10 are short to answer, We will…

Q: y = sin x y = cos x y = csc x y = sec x y = tan x y = cotx [Choose] [Choose ] [Choose ] [Choose ]…

A: We can solve this as follows:

Q: 1-Sinx finel y 14 Sinx

A: Consider the given function, y=1-sinx1+sinx use the quotient rule of the differentiation which…

Q: tan v – cot v = sin v cos v tan² v – cot² v

A: Hey since, there are multiple questions are posted, we will answer the first question.

Q: 2. Verify: sin x+tan x %3D sin?x sec x cSc x+cotx

A:

Q: Verify the identity.

A: Given: To prove the given identity thatcos γ1-tan γ+sin…

Q: Qi. Use first principle rule and proue that dy secl tene if y = secxton x · %3D

A: Assume y=sec x. Use the first principle rule for derivative if y = sec x.…

Q: Verify the identity.

A: The given identity is cos2v2=1+sec v2 sec v To show LHS = RHS

Q: sec x tanx (1+sec'x)² + sec

A: substitute u= sec3(x)+1 du/dx=3sec3(x)tan(x) dx = du/(3sec3(x)tan(x)) put this in equation  1/3∫…

Q: sin² 3y 5. ye 3^cot3t

A:

Q: y = Vsin (x)+ /sin(x)+. sin (x)+ sin (x)+ Vsin (x)+

A:

Q: 6 ý x In x=y 2/y-1 (も 2y=y cotx

A:

Q: sec 0 = cos 0; csc 0 = sin 0 csc 0 = cos 0; sec 0 = sin 0 sec 0 1 ; CSc 0 1 sin 0 cos 0 1 O csc 0…

A: To find which of the given sentences is correct

Q: 2. Verify: sin x+tan x %3D sin?x sec x csc x+cotx Sink+tanx

A: We have to prove the identity

Q: sin x dydx sin x sin x dA = dzdy = %3D 0.

A: Let's first draw the region of Integration and then evaluate the integration.

Q: 3. sin(3x) = (sin(x))(3 – 4(sin(x))²) %3D

A:

Q: 3 sec u du = ln | sec u + tan u + C

A: Given the function

Q: sin z = -isinh (iz) %3D ulgn

A:

Q: Find y' of sin(x+y)=x+y

A:

Q: Differentiate. y = 3x2 cos x cot x y' = 6x cos (x)cot(x) + 3x2.-sin(x)cot(x)· csc2(x)

A: