The diagram below represents the surface of a shelf. 18 in. Which expression could be used to determine the value of y? 20 in. 18 COS *(*) 1- COs sin" () '(*) tan

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A: Differentiate both sides with respect to θ

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A: We can use diagram to solve the given question.

Q: 6. Explain the steps in verifying that the following equation is an identity. sec x sin x = cot x…

A: We have given equation  Taking left side of equation  LHS = secxsinx-sinxcosx           =…

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A: Given query is to find the value fo indicated angle.

Q: Use the figure to write the expression "cos y "in algebraic form given              y = arccos x,…

A: First we need to find the trigonometric expression of tan y. From the data given y=cos-1(x) If y =…

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Q: + C,? What should be the value of A so that f A : sin (6x²) dx = - cos(5x-) %3D 4 A. x С. Зх В. 2х…

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Q: Next Rewrite 6 sin(a) + 1 cos(x) as A sin(r + o) A = %3D $ = Note: o should be in the interval – † <…

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Q: Evaluate the expression under the given conditions. sin(e/2); tan(e) = -2 e in Quadrant IV (assume 0…

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Q: etion) 16 sin? (4/7) cos³ (2VI)

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Q: Verily the icentity. sin 6x + sin 4x = tan (5x) cos 6x + cos 4x Stort eida and

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Q: Use the figure below to find the exact value for cos(30°). V3 1 60°

A: Solution: The objective is to find the required value

Q: What is the exact value of cos (tan¬'m) where m = :? 12 Provide your answer below:

A: if m=512 To find: the value of costan-1mSolution :let…

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A: Given that sin(theta) = 4/5 and cos(phi) = -√5/5 We have to solve for sin(theta + phi).

Q: Evaluate the expression under the given conditions. sin(0/2); tan(0) : O in Quadrant IV (assume 0 <…

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Q: Use the information given below to find tan (a+B). 5 with a in quadrant I 13 sina = 12 cos ß =- with…

A: Given Sin ∝=513∝in quadrant ICos β=-1213, β in quadrant II

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Q: What is the value of b that will result in a period of 90° for y = a sin b(x-c)+d? 1 1 (A) (B) 2 (C)…

A: We will find the period.

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Q: Use the figure to derive the formulas for sin), cos(), and tan cos e 0 sin 0

A: A right triangle ABC is formed inside a circle:sides are: (1+cos θ), sin θusing Pythagoras…

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A: Given: cos x = 1 To find: Using the graph of y = sinx  or  y = cos x to find the exact values of x…

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Q: At which of these x-values is the value of y = sin x greater than the value of y = cos x? Select…

A: To find : The values of x for which y=sinx is greater than y=cosx

Q: 4. Which expression is equal to tạn sec I cot using identities? CSc a O tanr+ cot x sin x cos 2 tan…

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Q: Evaluate the expression under the given conditions. V5 0 in Quadrant I, cos o = - 5. sin(@ + p); sin…

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Q: Use the information given below to find sin (a+B). 3 with a in quadrant IV in COS a= 4 with B in…

A: In first quadrant, all trigonometric functions are positive. In fourth quadrant, cos and sec are…

Q: 3. Use the diagram below to complete the table. y 3 х (A Coordinates of A sin 3 cos 4 tan 3

A: Given angle lies in the 3rd Quadrant

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Q: Use the information below to find cos (a+B) tan(a)=2/3 with a in quadrant 3 cos(B)=1/5 with B in…

A: where,   cos(a+B) = cos(a)cos(B)-sin(a)sin(B)      ......(1) Given : tan(a) = 2/3 with a in quadrant…

Q: When x³ cos(x?) dx is evaluated using IBP, the value of v du is? ...

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Q: 2 cos (a) da sin(a)

A: Solve the given integral

Q: be (a) sin-z= linz+c (b) sinh2= lnr+c (c) cosh = Inr+c (d) tan-= 1In r+c (e) None of the above 21

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Q: S= dx 3+ sinx+cos X

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Q: What are the properties of y = cosθ and y = sinθ

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Q: The drive sytem of a compact disc player uses an equation tan y = cos x-r / sin x where r is the…

A: Given,          The drive sytem of a compact disc player uses an equation tany=cosx-rsinx…

Q: a. Find 2 of the following. dx 1. y = cot? [sin (Tan-1

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Q: Simplify the lefthandside so that LHS RHS: %3D sin(a) sin(a) cos(a) – 1 cos(a) +1 tan(a)

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Q: I cos 2x dx D.

A: Solve intregal

Q: 15. Explain the steps in verifying that the following equation is an identity. sec a sin e sin a cot…

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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

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Q: At what value(s) of x does cOS x = 6x? (Use a comma to separate answers as needed. Type an integer…

A: Here the given equation  cos x =6x

Q: cos( dx x2

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Q: 12.y = sin(tanx) %3D

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: 4. Evaluate the following and give the exact value: r2 cos e crsin e r? cos 0 dz dr de 2 sin e

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Trigonometric Identities

Trigonometry in mathematics deals with the right-angled triangle’s angles and sides. By trigonometric identities, we mean the identities we use whenever we need to express the various trigonometric functions in terms of an equation.

Inverse Trigonometric Functions

Inverse trigonometric functions are the inverse of normal trigonometric functions. Alternatively denoted as cyclometric or arcus functions, these inverse trigonometric functions exist to counter the basic trigonometric functions, such as sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant (cosec). When trigonometric ratios are calculated, the angular values can be calculated with the help of the inverse trigonometric functions.