5(cos? x – 1) sin x cos x – sin x O 5 tan z + 5 sec x O 5 sin x + 5 cos x O 5 cot x + 5 sec ¤ O 5 tanx +5 csc x ||

Q: f tan x = -5, and cos x > 0, find sec x and cos x 26 26 and cosx = 26 sec x = sec a = 26 and cos x =…

A: Solution-

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: How do you solve this?

A: Given that cos x = 1/3 and x is in the interval (0, π/2) and sin y=1/4 and y is in the interval (…

Q: 37 cot x = 0,4955; con z<x< a. sen x d. sec x) b. cos x) e. csc x c. tan x

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Q: Verify the identity: sin(x - y)/(cos x cos y) + sin(y - z)/(cos y cos z) + sin(z - x)/ (cos z cos x…

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Q: 3 If h'(x) = what is h(x) given the fact that h(0) = 2? %3D V1-x² O h(x) = 3 sin "(x) – 2 O h(x) = 3…

A: Given h'x=31-x2.

Q: 7) y=Flx)=cos" (x) A.) xCcoskl) =4 Cos? (x) %ax (coscx) =4 cas? (x) (-sin(x). 4 Cos (x)Sin(x) %3D…

A: Explanation of the answer is as follows

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: 1+cos 0 + sin 0 sin 0 Prove = 2 csc e 1+cos e

A: To prove : sinθ1+cosθ+1+cosθsinθ=2cscθ

Q: In Exercises 7–12, one of sin x, cos x, and tan x is given. Find the other two if x lies in the…

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

Q: +sin(n")n-1 n6.1+cos(n2)n®+2 4. 2 9) Et sin (n* cos(n)

A: We have to use limit comparision test for checking divergence

Q: 65. 3 sin x = cos x 67. cosx- sin²x = 1 69. 2 cosx- 3 sin x- 3 = 70. 2 sin?x - cos x - 1 = C

A: 67. cos2x - sin2x =1 1 - 2sin²x = 1 Cos2x =1 2x = cos-(1) 2x = 0, 2π , 4π ..... x = 0,π,2π  So…

Q: Evaluate the integrals in Exercises

A: Hello. Since your question has multiple parts, we will solve first question for you. If you want…

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: 8, = ( sin 0 cos 4)ô, + ( sin 0 sin )ô, + ( cos 0)ô d = ( cos e cos p)ô, + ( cos e sin )ô, + (– sin…

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Q: Find the limit.

A: Use the formula cosθ+ϕ=cosθ cosϕ-sinθsinϕ to simplify the term cosπ+∆x. Here θ=π and ϕ=∆x.…

Q: Prove: 1) 2) sec 0 + tan(-0) cot - cos(0) = sec 0 tan 0 1 cos x + sin x sin y = sin 2 3y 2 COS (²)…

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Q: 13. Prove. 1+ tan 0 a) cos 0+ sin 0 = sec 0 1 b) 1- sec 0 1+ sec 0 1 = -2 cot? 0 ,2 c) cos 20- cos…

A: Note : Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the…

Q: Hiw ABy using Euler's formula prove That: sin(-2) = cosz CamScanner - n pal O Cos(そ2T)cosz Sin? Z+…

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Q: 1+ sin x dx = cos? x А tan x + sec x + C tan x + sec? x + C C tan x - sec x tan x + C In(1+ cos?x) +…

A: Solution..

Q: In Problems 28–44, establish each identity.

A: Trigonometric identities are given, we have to prove the identities. Note: we are answered with 3…

Q: 9. Prove each identity. cos 0 COS sin 0 = 1 – tan 6 a) cos² 0 + sin 0 cos 0 %3D b) tan? x – sin?…

A: we have to prove the given identities

Q: 22. If y = (1- sin?x)i then y" is b. 1 COS X 2° а. C. - cos x d. -sin x sin x HIN HIN

A: The second derivative of the given function is solved in detail below.

Q: 8. Find all 0 such that -180° <0 < 180° and: cos 0 = - b sin 0 = c tan0 = - a d cos 0 = 0.8 e tan 0…

A: we have given -1800≤θ≤1800a. cosθ=-110⇒θ=cos-1(-110)=95.740b. sinθ=45⇒θ=sin-1(45)=53.130c.…

Q: 4.) Prove: sin 2x a) 2cos? x = tan x b) sin 3x = 3 sin x – 4sin3 x [Hint: sin 3x = sin(2x + x)] -

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Q: VII. Prove the following identities. tan x-cot x sin' 0+cos' 0 =1-2cos x =1-sin@cose 11. 20. tan…

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Q: Find all values of x in the interval [0, 2n] that satišty the equali 6 + 3 cos(2x) = 9 cos(x) X =

A: We have to find

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: -1 cos z sec + C 2 O - sin-l cos z 2 +C 2 tan 1 cos z +C 2

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Q: 7. Prove the following identities. sin x 1 + cosx 1- cos x a. 1-cos x b. 1 + cos x tan? %3D sin x II

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Q: 1+cos 4x Express without double angles. sin 4x O (cot a + tan x) O ÷(cos x 글 (cos sin x) - O (cot a…

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Q: cos?(x)– sin?(x) Choose. + 2sin(x)cos(x) Choose. cos(2x) sin(2x) tan(x/2) cos(x/2) sin(x/2) tan(2x)…

A: Half-Angle and double angle Identities in Trigonometry Formulas: - The following trigonometry…

Q: x=cos¬! 1 prove that sec" X= cos

A: Given sec-1x=cos-11x

Q: : [5 cos(5)r – 3 csc²(x) ] dz =. Evaluate: O sin(5z) + 3 cot(x)+C O sin(5z) + 3 tan(x) + C O -…

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Q: 4. f(x) = Cos Ex) – 5 Stnh (x) %3D 5. f(x) = Sin(3x)Cos(x) (Hint: use product-to-sum trigonometric…

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Q: 1. 1-Cos? X= tan x cos x sin x 2. cos x tan3 x= sin x tan? x

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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: sin 0(3sin? 0+ 4cos? 0) = 3 cos 0 + cos³ 0 4. Prove that tan 0

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Q: 5. Prove the following identities: (a) cos (x +) + sin (x = 0 6. sin(x – y) cos(x) cos(y) (c)…

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Q: 8(cos² z – 1) sin z cos z – sin z

A: Given,           8cos2x-1sinxcosx-sinx

Q: 18) tan 3x 24) 2sin? 0 3(1-cos 0) 4 25) sin (20)= co cos O 19) cos-x X- cot 26) 4 cos B = 1 + 4sin B…

A:

Q: tanº(x) cos“(x) O sin'(x)sec°(x)[7sin?(x) + 9cos²(x)] + C 63 tanʼ(x) [7tan²(x) + 9]+c 36

A: The properties to be used for solving the integral are: a) 1/cos4(x)=sec4(x) b) d(tanx)dx=sec2x c)…

Q: -2 /2 cos 0 = 3 y sen 0 = a. csc 0 = c. tan 0 = b. sec 0 =. d. cot 0 = 4/17 sen 0 = 17 y cos 0 = 17…

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Q: 1+sin A cos 2 sec u – cos µ = sin µ tan µ 4. + 2 sec 1 %3D cos A 1+sin A

A: We have to verify the given identities.

Q: 12 and x terminates in guadrant I. 13 Find sin 2x, cos 2x, and tan 2x if sinx= sin 2x %D cos 2x %3D…

A: Given: sin x=1213and x terminates in quadrant I. To find sin2x, cos2x, tan2x The hypotenuse side is…

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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Q: |2tan x In (cos x) dx= A sin x [In(cos x)] + C (B cos x [In(cos x)] + C В C [In(sinx)]? + C D…

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