them. 1. y= sin2r 2. y=2 tanx 3. y= cot 3x

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

A:

Q: 3. cos? (z) sin“ (2) dz

A: Given, The integral is,

Q: 04.) Show that y= (sin x +cos x) sec x = see? x

A: Use the trigonometric identities and simplify to prove the given expression. Also check for a value…

Q: 05 y' + (cot x) y 3 sin x cosx

A: We have to solve the given differential equation.

Q: 4 sin? x cos xdx

A: Explanation of the solution is given below..

Q: 1. S sin? xcos4xdx

A: We can use reduction formula to solve the problem

Q: Sketch the graph

A:

Q: S sin? x dx

A: ∫sin2xdxUse the identitysin2x=1-cos(2x)2∫sin2xdx=∫1-cos(2x)2dx                 =12(∫1dx-∫cos(2x)dx)

Q: |16 sin?x cos?x dx

A:

Q: If sin x= 1/3 and sec y = 17/15, evaluate cos (x+y)

A:

Q: /24 x tan? (6x) dx = sin(5x) %3D

A: Consider the integral  ∫0π/24xtan26xdx

Q: Let cos A = with A in QII and find V13 sin(2A) = Preview TI Enter your answer as a number (like…

A:

Q: Evaluate S cos ve Vē sin? ve

A: consider I=∫cosθθ sin2θdθto solve the itegral we can use method ofsubstitution

Q: For y = sin? x+cos x, y' =

A: Given that, y=sin2x+cos2x We have to find derivative of the given function. Here, y'=dydx

Q: V3 1 =-; COSX = 2 7) If sinx find the remaining four trigonometric functions. ANS 7:

A: We can use the trigonometric ratio In order to solve the given problem.

Q: 4. 70 30 Show work: trig ratio (sin, cos, or tan) of %= trig ratio: X =

A: sin 30∘=AdjacentHypotenuse=pq Here, p represents the adjacent and q represents the hypotenuse. p=x…

Q: 8. dr+ (2r cot 0 + sin 20) d0 = 0.

A: This will be a linear differential equation of r. We will write this in standard form and then solve…

Q: 1. S sina de cos²x

A:

Q: 3. * ... ... 35 21. Show work: trig ratio (sin, cos, or tan) of Z = = %3D trig ratio: =7' X =|

A: Given figure,

Q: Find dr 0Y-- の 3. Cosr+ Cot O =r

A: Solution:-

Q: 3pi

A: 1.Cos(x-y)=Cosx*Cosy+Sinx*Siny 2.Sin(x+y)=Sinx*Cosy+Cosx*Siny In a right angled triangle, 3.Sin X =…

Q: Derire the gy ivenidentities Sin20 = sec seco Sine Coso

A: To prove: sin2θsinθ-cos2θcosθ=secθ We know that: sin2θ=2sinθcosθ and cos2θ=2cos2θ-1

Q: Simplify the lefthandside so that LHS = RHS: %3D cos(y) cos(y) 1+ sin(y) COS 1 – sin(y) 2 tan(y) |-…

A:

Q: A3.-- LA = a/b * O cos cot sin sec tan

A: As per the instruction, we will be answering only the first question. For (3), Given:

Q: ( sin?xcos? x dx

A: Integration is summation of discrete data. The integral is calculated for the functions to find…

Q: 5T then 4 If 0 = - cos(0) = sin(0) = Cive evact values No do imale

A:

Q: cos[arccos(−0.1)]

A: Consider the given expression as coscos-1-0.1

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

A:

Q: 3) S sin? dx

A: Solve the integral

Q: If y = cose z then value of y' will be Select one: Az sine A O e-z, sine-Az O d.e dz¸ sine d O -A. e…

A:

Q: sec? e OP- Find Jo tan? 0+1

A:

Q: S 16 sin?x cos?x dx x cos²x

A:

Q: B. If cos-' (cos- '(cos) = y .Find value of y?

A:

Q: cos? y 1- sin y

A: sin2x + cos2x = 1

Q: If x=2 sec0 and y.cos0=4 sin . Evaluate where 0 =1 rad. dx? d'y

A:

Q: HW / Draw the following functions: (1) y=sinx+1 (2) y = sin 2x (3) y = |cos x (4) y= cosx? (5) y =…

A: our  objective is to draw the graphs.

Q: 4 I sec(ø) (b) p* sin(ó) dpdódo

A: The answer of part b is as below.

Q: 25n B- If cos-1 (cos) = y , Find value of y?

A: B. cos-1cos25π6=y =cos-1cos24+1π6=cos-1cos24π6+π6=cos-1cos4π+π6 cos4π+θ=cosθ =cos-1cosπ6=π6

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

A: Answer

Q: 27 sin x cot xcosx dx = ? ^.cosx

A:

Q: T/2) [cosx/(1+ sina

A: Here we have to calculate:-

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: 2 and t is in the 2nd quadrant, then 6 If sint = i) tant = ii) sec t

A:

Q: cos ydy Sin y+ 5 sin 3 sin y+6

A: Since you have asked multiple questions in single request  so we  will be answering only first…

Q: 25n - If cos-1 '(cos = y , Find value of y?

A: For a∈ℝ cos-1(cos a)=a                 (1) Given equation is: cos-1cos25π6=y           (2) Compare…

Q: 7 - If æy + sin(e") + arcsin a = sin 1+ then what is the value of at (4, 0)? b) а) b) b. c) C d) d.…

A: Given: xy+siney2+sin-1x=sin1+π6

Q: fip when r = 0, if given y = tan (sinh z). Find dr

A:

Q: dr Find OP r=4-0° sin 0 dr I3D

A: