You need to find the exact value of tan 12 Which of the following is the correct application of the sum or difference tangent identity? tan -tan 1-tan() tan (품)+tan() tan 1-tan(프) tan( 프 tan()+tan() 1+tam () tan( V3+1 1+v3 8 10 11 12 13 14 15 10

Q: 3. Prove the following trigonometric identities. (- 1 -- sin x tan x = cos x. cos x a)

A: I am attaching image so that you understand each and every step.

Q: - Use the double-angle identities to find tan(2x) if cosx = Enter an exact answer. Sain(4x) sin(1…

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Q: suppose that cos theta=2/5 calculate tan theta in the following two cases

A: suppose that cos theta=2/5 calculate tan theta in the following two cases

Q: Prove the identity: tan(θ +π )= tan θ

A: Given: tanθ+π=tan θ To Find: To prove the given identity.

Q: Prove the identity. Cos(x− 90°) − Cos( x + 90°) = 2 sin x

A: We will use the formulas: cos(A-B)=cosAcosB+sinAsinBcos(A+B)=cosAcosB-sinAsinB

Q: Prove the identity cot (x)+tan n(x)%3Dsec(x)csc (x)

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Q: Evaluate the exact value of 4 /5 tan sec 4

A: The objective is to evaluate the exact value.

Q: 1. Verify the following identities. sec4 x - tan4 x 2 sec2 x - 1

A: We have given the identity

Q: Show that the following statement is true by transforming the left side into the right side. Show…

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Q: Prove the identity. sin^2(θ)−tan(θ)cos^2(θ)−cot(θ)=tan^2(θ)

A: We have to prove the identity                                         sin2θ-tanθcos2θ-cotθ=tan2θ

Q: Prove the identity. 2 tan 0 sin 20 1+ tan0 To verify the identity, start with the

A: Please refer to the image below.

Q: Derive the identity using the identities listed in this section.

A: To Prove

Q: 3. Prove the identity of tan x + cot x = csc x sec x. Work on the left side.

A:

Q: establish the following identities: sec^4 theta- tan^4 theta = 1+sin^2 theta/1-sin^2 theta

A: Given:

Q: Verify the following identity. 2 tan 0 sin 20 = 2 1+ tan Which of the following four statements…

A: Solve the given problem.

Q: Prove the identity 1/Cos X - 1/Sec X = Tan X * Sin X

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Q: Suppose that tan 0 = 12 and 0° < 0 < 90°. Find the exact values of cos and tan

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Q: Demonstrate the following identity tan^2⁡(θ/2)=(sec⁡(θ)-1)/(sec⁡(θ)+1)

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Q: Verify the identity (1 + csc x)/sec x - cot x = cos x

A: We have to verify: 1+cosecxsecx-cotx=cosx We will use following relations of trigonometric…

Q: 1+ cos x (csc x+ cot x)² %3D 1- cos x 2.

A: Given : 1 +cosx1-cosx = (cscx + cotx)2

Q: 1. Prove the given identity Isio cot x tanx cosX CotX + tanX

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Q: Prove the following trig identity: Tan(x)2Sin(x)2 = tan(x)2+ Cos(x)2 -1

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Q: Let tan (0) = 3 with 0 in QI. Find sec (20). 10 sec (20) =

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Q: Complete the identity. sin 2x- tan x = ? O A. tan x cos X O B. - tanx cos 2x O C. tan x cos 2x O D.…

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Q: Prove that : (cosec?? − sin??)(sec?? − cos??)(tan?? + cot??) =1   Prove that √sec2 + cosec2 = tan…

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Q: 2. Verify the following identities (a) sec e - tan@ =sec 0+tan6 sec 8+tan 6

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Q: establish the identity sinΘ(cotΘ +tanΘ)=secΘ

A: To prove sinΘ(cotΘ +tanΘ)=secΘ

Q: Prove the identity. cos(-x)=cosh(x)

A: To prove: The identity cosh(-x)=cosh(x). Formula used: Definition of hyperbolic function:…

Q: (5) Verify the following identities.(a) cot x + tan x = sec x csc x(b) sec4 x − sec2 x = tan4 x +…

A: (a) The given trigonometric identity is,

Q: 9. Verify the identity. (1–cos² x)(csc x) cot x 2 sin x(tan x) a)a

A:

Q: Choose 2 of the 3 identities below to verify. Be sure to show every step. 2(tanx - cotx) a. tan?x-…

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Q: 4. Use an identity to find the value of tan (6– 180°). O - tan 0 tan 0 1 O-1

A: 4. We need to evaluate the value of the following quantity tanθ-180° Identity Used : tanA-B =…

Q: 2. Find the values of other trigonometric identities if sin 0 3 and tan 0 > 0.

A: Explanation of the answer is as follows

Q: 4 sin“ x = 1 – 2 cos 2.x + cos² 2.x

A: 4sin4x=(2sin2x)2 Using cosine double angle formula which is cos 2x=1-2sin2x1-cos 2x=2sin2x…

Q: Let x= 2 tan theta, 0 less than or equal to theta < pi/2  simplify the expression  1/x^2…

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Q: Prove that following identities: (sin 0 + cosec 0)+(cos 0+sece=7 tan0+cot 0

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Q: Establish the identity: cot(2x) = 1/2(cotx-tanx)

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Q: Use the identity sin 20 = 2 sin 0 cos e to evaluate lim sin 20 – 2 sin 0 | 02

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Q: Prove the identity: cos(tan-1 x)=1/sqrt(1+x2)

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Q: 5. Which expression is equal to tan z-1 using identities? tan r+1

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Q: Prove the following identities. Verify algebraically that the equation is an identi COS X 5. = CSC X…

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Q: Which expression Is equal to ian t-1 tan a+1 usIng Identities?

A: Given expression is

Q: Verify (prove) the following identity. csc x cos“ x + sin x = csc x

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Q: Verify the identity by transforming the lefthand side into the right-hand side.

A: To verify the identity by transforming left hand side into the right hand side. cot-xcsc-x=cosx…

Q: 4) Prove the following Identities and make sure clearly show all your steps 2 a) 1-tan²x cot²x-1 =…

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Q: sinx - cosx+ 1 sinx + 1 sinx + COSX - 1 COSX

A: We need to prove the following identity : sinx - cosx +1sinx + cosx -1 = sinx +1cosx

Q: Verify the identity by converting the left side into sines and cosines. sec(x) – cos(x) = sin(x)…

A: The given identity is secx-cosx=sinxtanx   identity used: 1-cos2x=sin2x

Q: I. Verify the following identities. 1. sin0+cotocos0= csce 3. sin 0(csco-sin 0) = cos' 0 csc 0 -=…

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Q: Use the fundamental identities to match equivalent expressions. cos(0) + 1 tan(0) 1 а. cos(0) – 1…

A: Required solution for above questions are given below ;

Q: Prove the identity. cos (x-y) =1+ tanx tany cosx cosy Note that each Statement must be based on a…

A: Please rate

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.