Find the exact value of the expression whenever it is defined.arccos √2/2

Q: simplify the expression (square root of 16 - x square) sd much as possible after subtituting 4cos…

A: Using sin^2(x)+cos^2(x)=1

Q: with this can you solve D and E with this information. Thanks.

A: Given problem:- D) Use the First or Second derivative test to prove that there is a relative minimum…

Q: If -8cos20 – 4 = -12, where 0 < 0 < 2T, what are the values of 0? List your answers as exact answers…

A: Given-8cos2θ-4=-12where 0≤θ≤2π

Q: By using simple Iteration method, find one root of the following equation: 4x = e* use (4D)

A: Let  f(x)=ex - 4x Then  f(0)=1&gt;0  and f(1)=-1.3&lt;0 Hence the root value lie between 0 to 1

Q: If one root of the equation ax +bx + c = 0 is equal to the nth power 1/n+1 1/n+1 of the other root,…

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Q: IF A= 3i-2j find A.A *

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Q: Given (3x + 1)*: The term with x is:

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Q: The size of a rectanguiar television screen is usually described by the length of its diagonal,…

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Q: If 7 – 4cos 0 = 7, where 0 < 0 < 2n, what are - the values of 0? List your answers as exact answers…

A: Explanation of the answer is as follows

Q: Find a real root of the following oquation corroct to 4D. x=e

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Q: Find the value of 'x' using the Pythagorean Theorem. 96 100

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Q: Using the Intermediate Value Theorem and a calculator, find an interval of length 0.01 that contains…

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Q: In (4xy) + e?xy + sen (2y) = 3x* – 7xy³

A: Differentiate wrt x

Q: The degree of precision of a quadrature formula whose error term is : f( (3) is 0 4 O 3 0 1

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Q: Find nth term of the following: x x? 1, 2' 4 x' 8. 2.

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Q: Given sec(a)=9/sqrt17 and "a" is in QI, find the exact values of the remaining 5 trig functions.…

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Q: a) Give the a ppropriate triq sub that would be used to evaluate dx. Sotve the Vx2-16 b) Solve the…

A: ∫x3x2-16 dx a). The substitution is, x=4secθ⇒1=4 secθ tanθ dθdx⇒dx=4 secθ tanθ dθ

Q: If f(x) = V5x + 6, find f(3). f(3) = (Type an exact answer, using radicals as needed.)

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Q: If  f(x) = ax2 − 27x − 7  has the roots  −  1 4  and 7, find the value of a.

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Q: V5 is rational ylgn ihi

A: √5 is rational

Q: 2-ў + 5ў + бу %3D0

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Q: Use the method of difference tables to find a closed formula in terms of n for the > i(2i – 1).

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Q: Find all values of x in the interval [0, 360) that satisfy the following equation. 8cos4x - 6cos2x +…

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Q: Figure ABCDE is similar to Figure FGHIJ. Solve for x.

A: Given figures are : Given, ABCDE and FGHIJ are similar.

Q: Given m n, find the value of x. (7x+9)° (9x+5)° COMMMA Submit Answer Answer: attempt 1 out of…

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Q: For which values of m is the following statement true? Choose the best answer. 66ex + 99 lim 40e = 0…

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Q: The degree of precision of the quadrature formula Q[f] given by f(x)dx Q[f]=f) + is: O 2

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Q: Shana solved for x and found it to be equal to 72. If she is correct, clarify what postulate or…

A: Shana solve for x from the given triangles. we have to find its mistake and used theorem

Q: 1. Use a substitution to find | (62? + 2)e=*+= da 2)e*3. showing working.

A:

Q: Find all solutions to the equation below for 0≤α≤2π0≤α≤2π. If there is more than one answer, enter…

A: Given-2sin (∝) = 1To find all the solution of the equation for 0 ≤ ∝ ≤ 2π

Q: Show and solve for its solution set, interval notation and number line of the given identities…

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Q: E, find all values of a that satisfy the equation 3

A: The given equation can be written as, 3( tan2x-tanx)=0 (tan2x-tanx)=0 tanx( tanx-1)=0 So there is…

Q: Haw / Find dhe solution for the equaton

A: Find the solution

Q: Determine if the given value of c is a root of the given equation  2x^3+3x^2-8x+3; c=1

A: If c is a root of f(x), then the value of f(c) must be 0.

Q: If 4sin 0 – 8 = –10, where 0 <0 < 2n,what are the values of 0? List your answers as exact answers in…

A: 4sinθ-8=-10

Q: (a) Find the largest number & such that if |x - 1| < 8, then 14x - 4| < ɛ, where ɛ = 0.5. %3D (b)…

A: The solution of two parts are given in the next steps.

Q: Which of the following is correct in solving 20 2x√2 + x dx? (a) Substitution technique can be used…

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Q: Solve the following equation for x. In x2 = 3 X = (Type an exact answer. Use a comma to separate…

A: Given: ln x2=3 To Find: To solve for x.

Q: by using simple iteration method find one root of the following equation 4x=e^x use 4D

A: Given. 4x=ex fx=4x-ex First to find x=ϕ(x), such that ϕ'(x0)&lt;1. So, find x0.…

Q: Match the following equations with appropriate Seç.

A: We are asked to match the equation.

Q: If y = g(x), write g" (x) %3D in Leibniz notation. Enter the answer in the box.

A: Given  y=g(x)

Q: Given the function y=ect where c is any nonzero real number, we compute the doubling time by taking…

A: given that function y=ect  where c is any non zero real number to find value of t for different…

Q: Solve x=√5x−9+1 If there is more than one solution, list them all, separated by commas. If there is…

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Q: 8. If x* - 48x +1=0then, a. Provethat x - 5/2x+1=0 1 b. Find the valueof x- c. Showthat x 23030/23

A: Since you have submitted multiple questions, according to Bartleby policy I'll solve the first…

Q: Rearrange this formula to make T the subject.

A: Given : formula  s=(LP-1)/(2*sqrt(T+1))  Arrange the formula for T?

Q: al stretch by the factor tion in the y-axis ation 10 units left and 1 unit down

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Q: The degree of precision of the quadrature formula Q[ƒ] given by: f(x)dx * QlF] Is:

A: The given quadrature formula is…

Q: If –8cos20 – 4 = -12, where 0 < 0 < 2n, what are the values of 0? List your answers as exact answers…

A: Solve for theta

Q: 7. If SQ = 11x-26 and PR = 5x + 28, find PR. %3D

A: Note: There are multiple questions. No specific question has been asked.So, We will solve the first…

Q: Find all the roots of the given function.

A: There are two ways to find the roots of this equation:One way is to graph the equation and find…

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.