Let A- ) Find A-1 and use it to solve AX = B where B = 4 () X = where ri= 2 and x2 =

Q: Express as an interval: (a) {x : Ix - 5I < 4} (b) {x : I5x + 3I ≤ 2}

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Q: Solve the equation lsin xl = 1/2 on the interval [0, 2π).

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Q: Use Exact, Then solve (1 = In(x) +)) = (1 – In(x))y`

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Q: Solve cosx + secxr = - 2 on [0,27). 3n 4 O 3n 2

A: Explained below

Q: How many solutions does  sin2(4x)=1/2  have in the interval (0, 5pi/8) ?

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Q: Prove that J1/2 = sinx

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Q: If f(x) = 7 sin-(*), then f'(2) - =

A: dsin-1xdx = 11-x2 dxndx=n.xn-1

Q: Prove that L (sin² x 2/3 ; p} = 1/ 108 р x (1²,5 + 4)

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Q: 3. Suppose csc(A) 2 where A terminates in QIV, and sec(B) = -3 where B terminates in QII 4

A: The relation between the sides and angle of right angle triangle are expressed in the ratio called…

Q: Show use of variable substitution to factor and solve over (0,2pi) when necessary. 3. 2tan2 θ +…

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Q: =-i In (izt Ji-z2?) Sin 군 tan 군 = 늑In

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Q: How many solutions does sin2(4x)=1/2 have in the interval (0, 5pi/8)?

A: Answer

Q: tan(2 – j5) j(2-j5) +7- jv2 In(-5)| (3220° – sin 20 + jln5)*|

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Q: Prove that the equation 4 sin 4 has a solution.

A: Given,

Q: Show thatI cos ve (-1/4s)

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Q: Find all 0 in the interval 0 <0 < 2T satisfying tan(0) = - 0. Give all answers as exact values…

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Q: Find the last (right) two digits of 77'. use Euler's theorem to solve it

A: We need to find the last two digits of 777. To find the last 2 digits means we need to find the…

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Q: Prove that (7 sin2m-10 cos2n-10 = – B(m,n)

A: Note: We’ll answer the first question since the exact one wasn’t specified. Please submit a new…

Q: Solve for QIF 4 Cas G+2 sin 2Q+3in 203D0

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Q: prove thati- Exi 2. (Exi) 2. (xi-X

A: Solution-: We prove that,

Q: Use the Intermediate Value Theorem to show that the equation () 2021 E) - cos(t) = 0 as at least one…

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Q: What are all of the solutions for the equation 2sin²(θ) + 3sin(θ) + 1 = 0 on the interval of [0,…

A: solution:-2sin²(θ) + 3sin(θ) + 1 = 0,    θ∈ [0, 2π)2sin²(θ) + 2sin(θ)+sin(θ) + 1 =…

Q: Given the equation x-n-sin () = 0, the equation has a uniqe root in [0, 2π]. True False

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Q: 6. From Descantes rule of signs, condude that the equation roots. x2n-1=0 has 2n-2 imaginany

A: x2n - 1=0 So, total number of roots are 2n.

Q: Find the product of approximate numbers x, = 2.37 and x, = 20.3546 all of whose digits are valid.…

A: Here, we need to find the product of approximate numbers x1=2.37 and x2=20.3546 all of whose digits…

Q: show that there is a root of sin(x2)=e2-2.

A: To show that there is a root of sin(x2)=e2-2.

Q: tan –15t sech Evaluate: 1+2512

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Q: What is the value of the i in the ex

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Q: Find the last (right) two digits of 77". use Euler's theorem to solve it

A: we have to find the last two digits of 777

Q: Prove that X X sin 8 2 sin sin x 8 2,

A: The objective of the problem is to prove the equation. sin2π8+x2-sin2π8-x2=12sinx

Q: Justify whether the equation 2xn=sinx+1 has a solution in (0,1) for every positive integer n.  If…

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Q: Prove (05t - sin 4t tos?t

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Q: Find all values of x in the interval [0,2pi) that solve 2sin^4x-3sin^2x+1=0

A: Given data,          2sin4x-3sin2x+1=0 formula use,              a2-b2=a-ba+b

Q: Show that the equation 4x + cos (x) = 0 has exactly one real root. [Hint: Prove it by showing there…

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Q: Show every step you used to get the answer

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Q: 5. 4 f sin + 2zdz

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Q: tan(2 – j5) j(2-j5) +7- jv2 In(-5) (320° – sin 20 + jln5)*

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Q: 3. Suppose csc(A) = where A terminates in QIV, and sec(B) = -3 where B terminates in QII

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Q: Prove the equation sec2 x csc2 x = sec2 x + csc2 x is an identity.

A: Given equation is, sec2csc2x=sec2x+csc2x

Q: See attached image. Please provide a solution with a detailed explanation of steps.

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Q: 1 .Prove that : sec q + tan q = 2x or, 4x If sec q = x+ 2x

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Q: Prove that ²-1 (²) (0) (sin (+,-) + do r² sin(0)

A: Given : ∇2=∂2∂x2+∂2∂y2+∂2∂z2 To Prove : ∇2=1r2∂∂rr2∂∂r+1r2sinθ∂∂θsinθ∂∂θ+1r2 sin2θ∂2∂ϕ2

Q: given 0≤θ<2π, solve tan⁡θ=-√3. π/3,4π/3 π/3 2π/3 2π/3,5π/3

A: Given query is to find the Indicated angle.

Q: tan 4X Prove that 4t(1-ビ) if 1-6t +tf t=tan

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Q: Solve for Fourier coefficient, {6" ax 02x2n T >x 22n sin x f (x) =

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Q: Find all solutions of the equation in the interval ​[0,2π​). cot x/3=root 3

A: Given:

Q: Let x = 5 sin 8, π/2 < 0 < π/2. Simplify the express X √ 25 - x² X √ 25-x² X

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Q: Find the exact value of:

A: Given that, To find the exact value of  sin 7π12 by using the identity, sin ( A + B) = sin A cos B…