3-Erpressthe given qunntity in torme of Sinn-and cosx cos (T+A) O cos(+x) O Sin (277-x) sin (-x)

Q: secx tan.x 5) 1+ sec x

A: Use the method for substitution.

Q: 2. Prove the following identity: sin (x+y)sin (x-y)=cos² y-cos²x X =COS - COS¯ x X.

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Q: 3. y" +y = 2 cos x - sin x; y = x sin x+ x cos x

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Q: ind positive constants b and n, such that 3n + 2 n.

A: Finding the values of b and no

Q: Lan: prove (:) - - 4. sin x tan =1- cos x

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Q: Q1: show that1) d/dz [cosz] = -sin z, 2) 1+tan2 z = sec2 z

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Q: Q. (a) Find an equation of the tangent plane to each surface at the given point. (b) Find symmetric…

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Q: sin [cot(4e¬4*)]cos*[cot(4e¬4*)] dx e^x sin²(4e¬4x) Let u = cot(4e¬4x) %3D

A: Solution: Let the given integral is I=∫sin6cot4e-4xcos4cot4e-4xdxe4xsin24e-4x ......(1) Substitute…

Q: B) prove du d 1. sec u = secu tan u %3D dx dx

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: そ COS X d x Sin X

A:

Q: Q3) A: Find y if: a- y = sin 2x + 2 cos x c- y = sin √x (As... b- y = secx. csc x d- y = tan(2x + 1)

A: Please see the attachment

Q: Let y = sin(sin(50)). Then y" is equal to: %3D Q7 -25 cos (50) sin(cos(50)) – 25 sin(50)…

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Q: Evaluate sin 2x sec*x dx Select one: 8 In| cos x |- 4 sin?x+c - 8 In| cos x |+ 4 sin?x+c 8 In| sec x…

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Q: Vif it was,= 2X COSX+ tand it's dy and 1- (X sec 'x?+ cos X -X sinx) +1 2- 257+1 (x Sec'x?+ 2cosx-2X…

A: To find the derivative

Q: 8. Prove that tan? 0 + cos? 0 + sin² 0 = sec² 0. %3D

A: Explanation and solutions is given below....

Q: 2. Prove the following identities. = tan (x+2) 1tanr 1-tanx b) sin(π-x) - tan(-x) = sin2x c) secx =…

A: By the answering guidelines of Bartleby, We can answer only first three subparts, please post other…

Q: f-A Sin(b2) cos (but) Does aboue ginen en funchion Saitsy the follewingS Saidsfy the following…

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Q: Exercise 1. A student is asked to prove If m is even and n is odd, then m² + n² is odd. 2 The…

A: Let us answer above questions

Q: Find where w= cos z - cos x cos 2y + sin x sin 2y and z x+2y. Me.

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Q: 6. Which of the following is FALSE? 7. f A. (4 cos x-3 sin x) dx = 4 sin x + 3 cos x + C B. f3e³x dx…

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Q: Evaluate lim i+ cos rj sin (at)

A: Follow the procedure given below.