Which of the following is equivalent to expression cosh?u - sinh?u? 1 2e" © none of the given choices D cosh2u E 2e-u

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Q: 41. Show that if u = tanh(x/2), then 2u 1+u? 1- u?' 2du 1- u? cosh x = sinh x = 1- u? dx = Hint: For…

A: To show the following

Q: 06. Evmlete the integral 7sin (a)+ 7sin(2)tan? (x) de secz (x)

A: Integrated by substitutions

Q: Which of the following is equivalent to expression cosh?u- sinh²u? (A) 2e-u (B) cosh2u 2e" D none of…

A: Using the formulas of coshx and sinhx

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A: Consider the following expression: sinπ2+θ=cosθ sin2π3=sinπ2+π6=cosπ6=32

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Q: 16. Express the quotient 00. √3 5 O b. √3 1 OC. √3 6 O d. √3 2 1 3(cos50°+isin50°),…

A: Topic:- complex number

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Q: Which equivalence is true? sin x= 6. 1 1 logs O 2? < 4° r<2 O a + 2 = 3 # r= 1 112

A: In option (a) it is given that, sinx=12 So if we want to solve the above equation for the variable x…

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Q: Which of the following is equivalent to expression cosh?u- sinh?u? (A 2e-u B none of the given…

A: Let's find.

Q: Which of the following is equivalent to expression cosh?u- sinh?u? A 2e-u В 1 2eu cosh2u E none of…

A: We have to find

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Q: |2sin*e cos e de= .a 315 8. .b O 63 16 .cO 315 16 60 00

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Q: 1) Find thesexact value o niSinG/2) ban sin x Ei Joven that 4 2.

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Q: 20. Simplify the expression o con z- sin z-1 tan z O - sec? z O - tan? z O sec? z

A: We have to simplify the following expression -  cos2x-1sin2x-1

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Q: Which of the following is equivalent to expression cosh²u- sinh?u? A none of the given choices B…

A: Given that, the expression is following, cosh2x - sinh2x We have to simplify this expression and…

Q: III) Prove: 2) cos x x + sin æ sin y = sin 3y (3) COS (2) for all x and y such that x+y= 2

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Q: 2s0ue by usiny Netons method opprozimete 14 sinx+ cosX 1+ sinx- coSX Xis 2.5

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Q: Establish the identity. (a csc e-b cotoy - (a cot 0-b csc oy = a - b?

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Q: Let m be a real number. Then 2(sin (mx) + cos (mx)) = mn 2(sin (mx) + cos (mx)) = n %3D The above is…

A: Given, m is real number.

Q: 1 Which is the equivalent form of the expresSion sin r+cot r cos z :? O sin z O cos r - O cos I O1-…

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Q: Which expression is equivalent to O cotx+sec x O cos x + cot a Otan x+sec x O sinx+tan x an £ ? cos…

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Q: The numerical value of sinh(In 3) is equal to Select one: a. False b. True

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Q: Which of the following is equal to P (3r² + In(5x) – sin(r))? dr 5 (a) 6x +- + cos(r) (c) r + +…

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Q: Evaluate the followingintegrals.

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A:

Q: Which of the following is equivalent to expression cosh?u- sinh²u? A) none of the given choices B 1…

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Q: If sinh z = , then cosh z is Select one: a. b. C.- d.

A: Recall: cosh2x - sinh2x = 1

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Q: Evaluate: " cos ( dzdzdy Só cos)dzdzdy ㅇ (- 2) O 4 (* – 2) O 47

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Q: Write the following expression as an algebraic expression in u 3 for u >0: sin 2 tan (2tar

A: using sin(2x)=2sin(x)cos(x) here x=arctan(3/u)

Q: Which of the following is equivalent to expression cosh²u- sinhu? A none of the given choices B 1…

A: The given expression, cosh2u-sinh2u

Q: 41) Cos 3 x -COSX =0 Arsuas 00 0, エ 3TT 21

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Q: Determine whether the following statement is true or false. If y = sin¹ (4x4), then = 16x³sin³ (4x4)…

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Q: 1 de 4-cose EIN

A: I have provided solution in step2.

Q: Which of the following correctly expresse 4sin (4a)cos a as a sum?

A: To find the correct option

Q: Prove the identity. cosh?x (cosh(2x) + 1) 2

A: