- 47 then 3 - If 0 = sin(0) equals cos(0) equals tan(0) equals sec(0) equals

Q: s nip

A: Given: 12cos2x+C=14cos2x

Q: 4. Solve cos x = cos 2x for the interval x E

A:

Q: 10. Find the exact value of cos 2x given that cos x =

A:

Q: 16. Calculate (sin 0 , 0 , cos 20) d0.

A: ∫0π< sinθ,θ,cos 2θ>dθ

Q: 16. Scos cos 0 cos (sin 0) de

A:

Q: If x = 3 sin(0), then а. V9 + x? cos(8) 3 b. cos(x) Vx2 + 9 C. tan(x) d. cot(x) = 3 || е. sec(x) 3 O…

A:

Q: -When the (4tan e. tan2 0 = 1),the value of (0) from 0° to 360°.

A: We will use the formula tan2θ = 2 tanθ1-tan2θ Hence 4tanθ . tan2θ = 14 tanθ2 tanθ1-tan2θ = 18…

Q: is a root of the equation y2 + ycot x cos x - 1 = 0

A: Here we have to show that, y = sin x is a root of the equation y2 + ycot x cos x - 1 = 0

Q: 2. Given 0 < θ < 2π, solve 2 tan 0 + sin θ cos θ = 0. 37 0, T

A:

Q: -17 If 0= then sin(0) - cos(0) %3D

A:

Q: 41- 1 ST 5* x² cos cyldy dz dx

A:

Q: 2 | [ cos ti- sin 7t j+sin 6t k]

A: Given :

Q: -- cos( sin-!x) + C 1-x² A True B) False

A: SOLUTION-

Q: 2x, given tan x= 2 and cos x is less than 0

A: Given tan x = 2 and cos x &lt; 0.

Q: 9. cos (21) di 10. 11. sin'x cos's de 12.

A:

Q: 1. Eliminate the arbitrary constants on the given equation: -= C, cos 3r + C2 sin 3x

A: Elimination of the arbitration constants

Q: - and cos 0 > 0; f ind tan 0. 2 sin 0 = 2/3 (A 3 (3 B 3 -1 /3 D 3

A: As we know from the Pythagorean theorem, sin2θ+cos2θ=1 Given,  sinθ=-12

Q: -5 sin x = -2 cos2 x + 4

A:

Q: 2. Write –2 cos x – 3 sin x in the form R cos(x – a) with -7 < a < T. Round to three decimal places.

A: Answer is given in asked form.

Q: 25+16 x² (2, Sinx 3 + Cos? x xp 2

A: According to the fundamental theorem of calculus ∫f(x)dx=F(x), where dFdx=f(x). The definite…

Q: 1. Determine the value of cos(2x+2y) if sin z 3 and tan y = - for 4 sysa. for 0sxs: VI VI

A: Given : sin x = 3/5 and tan y = -3/4

Q: the sum of sin h 2x and cos h 2x

A:

Q: Evaluate the integrals

A: 71). To evaluate the integral: ∫tan2x+sec2xdx Solution: We know that, sec2θ-tan2θ=1⇒tan2θ=sec2θ-1…

Q: 9 Find 0 if 0<0 < 2n and: d sin 0 = 1 h cos? 0 = i tan 0: i tan? 0 = 3

A: To find θ if 0 ≤ θ ≤ 2π  sin θ = 1cos2 θ = 12tan θ = -13tan2 θ = 3

Q: 1. Solve for x, if 0 < 0 < 2n. Write your answers in exact values only. 2 2cos" x + cos x- 1 0

A: Given: 2cos2x+cosx-1=0  and 0≤θ≤2πlet cosx=mthen 2cos2x+cosx-1=0        2m2+m-1=0We know that root…

Q: Find sin 2x, cos 2x, and tan 2x if sin x= sin 2x = cos 2x = = tan 2x 010 X 1 and x terminates in…

A:

Q: e csc 20 In (ecos 2 ) Ince cos CoS 20 28) Sin2 20 OP

A: Given integral is ∫ecsc2θlnecos2θsin22θdθ since lnex=x, so lnecos2θ=cos2θ The integral becomes…

Q: 22. If y = (1- sin?x)i then y" is b. 1 COS X 2° а. C. - cos x d. -sin x sin x HIN HIN

A: The second derivative of the given function is solved in detail below.

Q: = -1, find the value of can 0-1 sin 0 – 3cos e sin 0 + cos 0

A: Given thattanθtanθ-1=-1Sotanθ=-1(tanθ-1)tanθ=-tanθ+12tanθ=1tanθ=12

Q: Cos 9 2 Sin e cos8 © cos (e) cos o (d) cos'x + 2 Sinx + 2 = o

A:

Q: 2/12 6. If sin(t) =- and cos(t) < 0, find the exact value of tan(t). %3D

A:

Q: 2. Find all the exact solutions to following. a) sin x= 0 b) tan e = 3

A: If sin x =0 then x=nπ ; where, 'n' is any integer .If tan x =3 then x =nπ+π3 .

Q: - 6 3 y =x sin x + x cos 2

A:

Q: 1- cos(0) (d) de sin (0)

A: We have to find integration

Q: 47. Show that y = sin(tan-x+ C) is the general solution of y' = /1 – y²/(1+x²). Then use the…

A:

Q: 2 tan(2x) − 4 cos(x) = 0

A: Explanation of the solution is given below.... And solve the given equation.....

Q: 5 35 sin? 0 cos50 de -2 S(x e* – tan x)dx -3

A: We are entitled to solve only one question at a time and up to 3 sub-parts only. Given - ∫0π235…

Q: 1. Match th A. Sin В. Cos С. Tan

A: As per the guideline i can answer only first question for you, more than one answer leads me towards…

Q: 3 3m 2. sin ---- sin(20) = b. cos(20) = a.

A:

Q: Question in Image.

A: First, we write 4pi/3 using its reference angle. Since 4pi/3 is in the third quadrant, there sin is…

Q: 18. The value of sin (7 +2) is equal to sin a cos z cos z - sin r

A: 18)

Q: 4. Given 0<0 < 2T, solve 2 tan 0+sin 0 cos 0 = 0. O 0, T

A:

Q: 2. cos(4x) = 1 – 8(sin(x))²(cos(x))²

A:

Q: What’s different between the solutions to the problems cos(x)=1/2 and =cos^-1(1/2)?

A:

Q: 3 Evaluate cos x sin x dx.

A:

Q: 1) Using the formula: cos(x + y) = cos x cos y – sin x sin y, prove in steps that: cos? x = %3D…

A: Note - Since you have posted multiple questions, I am answering first one for you as per the…

Q: the equation for x if 0 < x < 27. COS X 2 sin x = 0

A: Factor the given expression

Q: de 2- sin(e) ( cos(e) de 1+cos(0) de 2- 3sin(e) de 3sin(e) + 4cos(e) + 5 de sin(e) + 3cos(6) + 3

A: SOLUTION Given ∫dθ2 -sinθ∫cosθ dθ1+cosθ∫dθ2-3sinθ∫d θ3 sinθ+4 cosθ+5∫d θsinθ +3 cosθ+3 we need to…

Q: O cos y (cos x + 1)

A:

Optimization

Optimization comes from the same root as "optimal". "Optimal" means the highest. When you do the optimization process, that is when you are "making it best" to maximize everything and to achieve optimal results, a set of parameters is the base for the selection of the best element for a given system.

Integration

Integration means to sum the things. In mathematics, it is the branch of Calculus which is used to find the area under the curve. The operation subtraction is the inverse of addition, division is the inverse of multiplication. In the same way, integration and differentiation are inverse operators. Differential equations give a relation between a function and its derivative.

Application of Integration

In mathematics, the process of integration is used to compute complex area related problems. With the application of integration, solving area related problems, whether they are a curve, or a curve between lines, can be done easily.

Volume

In mathematics, we describe the term volume as a quantity that can express the total space that an object occupies at any point in time. Usually, volumes can only be calculated for 3-dimensional objects. By 3-dimensional or 3D objects, we mean objects that have length, breadth, and height (or depth).

Area

Area refers to the amount of space a figure encloses and the number of square units that cover a shape. It is two-dimensional and is measured in square units.