Establish the identity sin x+ sin y X+y -tan 2 cos X + coS y Which of the choices shows the key steps that can be used to verify the identity? 2 sin Xy 2 2 sin y cos X+y X+ y A-X 2 sin x+ sin y 2 2 X+ y tan 2 s00 OA. CoS X + COS y coS X+ COS y Xty Xy Cos 2 2 cos y 2 2 sin X+y COS 2 sin +y cos X-y Xy sin x + sin y 2 2 X y tan 2 OB. COs X + COS y Cos X+ Cos y 2 cos y cos Xy 2 2 X+ y XTy XTy 2 sin 2 sin Cos 2 sin x + sin y cos 2 2 OC. AX 2 Cos X + CoS y tan COs X+ CoS y X+ y sin 2 2 sin 2 ons Click to select your answer. 12/06/19 Practice Final Exam MacBook Air

Q: 2 sin A 1- cos A + sin A is equal to - then 1+ cos A+ sin A If y = 1+ sin A 1 y y O Option 1 O…

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Q: 1. y = sin(x) tan(x) 2. y = cos (x) 3. y = cos(tan(x)) 4. y = tan(x) A. y' = -3 cos (x) tan(x) В. у…

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Q: Give the period and amplitude of the following functions: 1. y = 3 sin 2x 2. y = 2 cos 3x 3. y =…

A: Authoring guidelines: As per the authoring guidelines we can solve only the first three parts of…

Q: Evaluate sin(x+y)-cos(x+y)=1

A: Given: sinx+y-cosx+y=1 Dividing both sides by 2, we get  12sinx+y-12cosx+y=12

Q: cos (r+k) Compute de by using substitution technique where k is a cos E constant. [Hint: cos (A+ B)=…

A: Integration

Q: Evaluate the following (Hint Use trigonometric identities .) 1. integral (5cos x - 4sin x)

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

Q: CianXtl) 2 tan x 8. Prove the identity: sin 2x = 1+ tan x L.S. es

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Q: Establish the identity. sin x- sin y x+y cot 2 COS X- COs y Which of the choices shows the key steps…

A: To prove the following trignometric identity:

Q: tan (x) cos (x) 1 tan (x) +tan°(x) + C tan'(x)7tan?(x) +9]+ C 36 O 1 1 tan (x)-tan'(x) + C O…

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Q: 11. y = coS x COS X -2 tan x 12. y = x? sin x tan x 13. у %3D 1 14. y = --3 sin x 15. y = x cot x

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Q: Prove the identity. tan(x -)- -cot(x) TC tan x 2 %3D sin(x - ) | tar(x-)- sin(x) cos) - cos(x) sin…

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Q: Derive/Prove: sin 2x = 2sin xcos x Useful Formula: cos 2x = cos?x-sin? x a. = 2 cos x-1 =1-2sin x…

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Q: H.W 1: Prove cos 4x = 1-8 sin² x . cos' x H.W 2: Prove that: sin 2x cos 2x sin x cos x sec x sin ( a…

A: 1) Prove that cos 4x=1-8sin2 x ·cos2 x. Consider the left hand side. cos 4x=1-2sin22x…

Q: Using appropriate substitution 3. tan’x dx sec5x is equal to -cos°x + cos"x + C tan*x + 6 sec°x + C…

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Q: Evaluate S sin“ (x) dx 4 Select one: -cos (x) sin(æ) +(x – sin(2a)) + C None of these 글sin'(2)…

A: ∫sin4x dx = ∫(sin2x)2 dx We have cos 2x = 1-2sin2x2sin2x = 1-cos 2xsin2x=1-cos 2x2

Q: 1+sin x sin x <x<0 6 -- If f(x) = {b , x = 0 is continuous at x = 0, find the values of a and b. tan…

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Q: (tan xI" =( Snx) by quekrent pule ; (SmxI" ( Cos al ex. by quotient rule: Cos x (Sinx) (Cos x) (Cos…

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Q: a Exercise: If L{sin (ax)} = p2+a2 then find L{x sin (ax)}. %3D Exercise: If L{cos(ax)} = p2+a2 then…

A: Since you have not mentioned the number of questions. I am just doing the first two questions. If…

Q: The integral of (10^x/cos 10^x) dx may be written as A ln (sec B^x + tanB^x) + C. Where A, B and C…

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Q: If V(x)= In[sin(x)- cot(x)], find V'(x). %3D O a. cos(x)- csc-(x) sin(x) + cot(x) O b. cos(x)-…

A: Here we have, V(x)=lnsin(x)-cot(x) We have to find V'(x)=?

Q: Verify the identity. csc(x) – cot(x) sec(x) – 1 cot(x) sin(x) cos(x) sin(x) csc(x) – cot(x) sec(x) –…

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Q: Verify the identity. cos(e) sin(0) - csc(0) 1- sin(0) cos(0) - cot(0) sin(e) – sin(0) sin(e) –…

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Q: Find the limits in Exercises 36-40  Are the functions continuous at the point being approached?

A: We’ll answer the first three questions since we answer only one question at a time. Please submit a…

Q: 14) f' (x) =(sin 3 x)'=, A) – 3(cot2 x) csc2x C) 3(tan2 x) sec2x By Power Rule B) – 3 sin2 x cos x…

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Q: (1) (sinz) + (cosr)* sin x COS x (2) tan x in terms of sin x, cos x %3D d. d. ( sin x COS X %3D dx…

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Q: 1. Find (a) sin(x + y), (b) cos(x + y), (c) sin(x – y), (d) cos(x – y), (e) quadrant containing x +…

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Q: Verify the identity. (Simplify 3 cos x 3 cos y sin x + sin y 3 cos x at each step.) sin x + sin y +…

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Q: Prove the pollowing identity.. (sin x t cos L cas x)- sin 2X-CoS T Sin'x + Cosx

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Q: 6(cos² x – 1) sin a cos z – sin z O 6 cot x + 6 sec x O 6 tanz + 6 csc x O 6 sin z + 6 cos a O 6 tan…

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Q: tan(x) dx cos4(x) tan'(x) A [7tan²(x) +9] + C 36 1 ℗tan'(x) + tan³(x) + C C D sin²(x)sec³(x)…

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Q: 12. Which is not a solution to the equation sin x = cos x-1? %3D A. x = 1 B. x == C. x = 3n 13.…

A: We will find the correct options for each question as following.

Q: 41 Prove al tanx + cosx= Sin X (sec x+ Cot x) メ b) Cos 2 ttan' t= Sin? t es Cos? (tan"x+ 1 = 1 %3D

A: As per our guidelines we are suppose to solve only first three sub-parts of a question. Kindly…

Q: Second-order derivatives Find y″ for the following functions.

A: "Since you asked multiple questions, we will solve the first question for you. If you want any…

Q: tan (x) J Cos cos“(x) 하an7(x) + 늑tan®(w) +C O tan'(x)7tan?(x) +9]+ C tan7(x) 36 O sin…

A: Here we have to integrate the given function.

Q: Prove the identity. 1 + tanh(x) – e2x 1 - tanh(x) 1 + cosh(x) 1 + tanh(x) 1- tanh(x) 1 - cosh(x)…

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Q: Verify the identity (1+sin x)(1-sin x)=cos2x   (sin x + cos x)2 + (sin x - cos x)2=2   cot(x) =…

A: (1+sin x)(1-sin x)=cos2x Apply FOIL method to expand left side

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: Verify the identity. sin³(x) + cos³(x) = 1 – sin(x) cos(x) sin(x) + cos(x) sin3(x) + cos³(x) sin(x)…

A: we know that  a3+b3=a+ba2-ab+b2

Q: Verify the identity. 1 - cos(a) sin(a) sin(a) 1 + cos(a) 1- cos(a) 1- cos(a) . 1 + cos(a) 1 + cos(a)…

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Q: JK JM sin x cos x + cos x sin x tan x + cot x = tan x + tan x + cot x = tan x tan? x + 1 sin? x +…

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Q: Prove the identitiessinh (x + y) = sinh x cosh y + cosh x sinh y,cosh (x + y) = cosh x cosh y + sinh…

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Q: 47. Let y = sec-x. Show that tan y = vx? – 1 if x > 1 and that tan y = -Vx? – 1 if x 0 on (0, 3)…

A: Consider the function of x and solve further-

Q: Evaluate: / sin(x)dx 2/x sin(/x)- 2cos(/x)+C A B 2sin(/x)+2/xcos(/x)+c © 2sin(x)- 2/xcos(/x)+C…

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Q: (a). Find a common denominator for COSX |- COSX and 1- COS x COS x –COS X COSX = cosx-coseX COS X…

A: a To find a common denominator for 1cos x and cos x1-cos x.b To expand cos x+tan x2 and to simplify.

Q: Test for exactness then solve. (cos x cos y − cot x)dx − (sin x sin y )dy = 0

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Q: Verify the identity. sin (e + n) = -sin e A) sin (e+x) = cos Osin e- cosa sin a = cos Osin e--0 =…

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Q: 9. y"+y= sec² x Ans. y= c, sin x + c2 cos x0 + (sin x ) In(sec x+ tan x)–1

A: Let's find.

Q: Evaluate 3 sin(x) cos(x) dx by four methods. (a) the substitution u = cos(x) 0-흑 cos2(x) + C O…

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Q: Verify the identity. 1+ sin(x) = (tan(x) + sec(x))² 1+ sin(x) 1 - sin(x) 1- sin(x) 1+ sin(x). 1 +…

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