a. r = 5 cos(0) b. r = 2 + 5 cos(0) C. r = 7 + 5 cos(0) d. r = 11 +5 cos(0) e. r = 5 + 5 cos(0)

Q: in the form Acos(x+B) 2 Write 6 cos x+8 cos x--

A: Given 6 cos x + 8 cos x - π2  To write:  6 cos x + 8 cos x - π2  in the form A cos ( x + B)

Q: OR = {(r, 0): 0 <r< 6 cos(30), 0 < 0 < n}

A: Follow the procedure given below.

Q: s nip

A: Given: 12cos2x+C=14cos2x

Q: 7. The value of A. cosx - C O A O B О с O D dx √(1-x is B. sin '(x)+c C. cosx ' +2¢ D. cosx

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Q: Which of the following is equivalent to: sin 2x O 2 cos? a – 2 cos“ a O 4 cos a – 4 cos“ æ O 4 cos“…

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Q: Find the value of the number C: 1/2 cos2 x + C = - 1/4 cos(2x)

A: The given expression is12cos2x + C = -14cos(2x)       ......(1)We know that cos(2x) = 2cos2x-1.…

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Q: 3. Which is equal to (sin a + cos a) +(sin r cos a) using identities? CO O 2 -2 О-1

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Q: a fe) = Vsec?x-1 cos(, x)

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Q: Which of the following is equal to cos 0 1 - sin 0 1 + sin 0 [A] cos O 1 + csc 0 [B] csc 0 1 [C] sin…

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Q: b. Find a similar formula for 4(cos" r cos na næ).

A: In this question we have to differentiation.

Q: Find 0, if 0° <0 < 360° and 1 and 0 in III. 2 cos 0 =

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Q: 1. Which is equal to cos ? cos O sin * O sin O Cos 품 27 COS

A: topic - trigonometric ratios

Q: 4. use the Pythagorean Theorem to find the value of cos e. Given sin e %3D 5' A) Cos e %3D B) 3 Cos…

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Q: 1) Using the formula: cos(x + y) = cos x cos y – sin x sin y, prove in steps 1+cos 2 x that: cos? x…

A: In the question it is asked to calculate the solution of cos2x=1+cos2x2 using the formula cos(x+…

Q: 22. Given that4 cos 0 + 3 sin 0 = R sin(0 + a), the value of R and tan a are respectively 3 A 25…

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Q: (a) Show that cos(x²) > cos x for 0 ;. 1

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Q: es (or+.1). COS Using P, (x), eshimate cas

A: In the question it is provided a function fi=cosπ+i The objective is to estimate the above function…

Q: The value of the integral . rcos ydydr is cos 8 cos 4 b. - cos 8+ cos 4 2 1 c. cos 8 – cos 4 + Cos 8…

A: SOLUTION-

Q: 1/6 | 210,/ 1- cos (20) de. Evaluate

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Q: 3. Find the equovalent of cOs (A+B) answer should contain cosA COS B Sin A an d tan B

A: Value of Sinx/Cosx is tanx

Q: 2) Complete the proof of the sine sum identity in the space below. C sin ß = cos(90° – B) sin(90° –…

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Q: e csc 20 In (ecos 2 ) Ince cos CoS 20 28) Sin2 20 OP

A: Given integral is ∫ecsc2θlnecos2θsin22θdθ since lnex=x, so lnecos2θ=cos2θ The integral becomes…

Q: Find the exact value of cos(a + B) under the given conditions. =D0<a<를 sing = --<P<0 4 cos a = %3D…

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Q: dt 54. 3 cos' (-). r(0)- TO OP

A: We have to find the initial value problem

Q: 3. cos 20 de –2p cos 8+p2 , p| < 1 [). 2np2

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Q: Given that cos ß = V3 find the exact 2 value of cos 2B: Cos 23 3 Cos 23 %D 1 cos 2B 1 cos 2B %3D II

A: Trigonometry Question

Q: Show the solution for  (1 + cos A) (1 - cos A)

A: Explanation of the solution is given below..

Q: 1) Using the formula: cos(x + y) = cos x cos y - sin x sin y, prove in steps that: cos? x = 1+cos 2…

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: | 2 cos®e de= COS 70 .a 256 35 128 70 T cO 128 35 256

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Q: 1) Using the formula: cos(x +y) = cos x cos y - sin x sin y, prove in steps that: cos? x = %3D 1+cos…

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Q: Which of the following is equivalent to cos (60° + 0 + sin(30° + 0)? cos 8 +V3 stn 0 cos e Option 1…

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Q: Determine the value of the serie 4∑ ((-1)^n)/(n^2) *cos(nx) at the point x=1

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Q: What must be the value of A so that cos(a +y) + cos(x – y) = A cos a cos y? %3D O 2 O -1/2 O-2 O 1/2…

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Q: uppose that sin(a) = 2/8 and cos(b) =1/9 define in the first quadrant, determine cos(a-b). (round to…

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Q: b. Given that z = el®, show that z" += 2 cos ne. Hence, show that cos 50 = 16 sint 0 – 112 sin² 0 +…

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Q: 2) If z = cos 0 +isin 0 show that 1 = 2 cos 0 a) z+-D 1 b) z" + 2 cos no %3D

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Q: 1. Use an identity to find the value of cos (0+ 90°). sin 0 cos 0 O - cos 0 O - sin e

A: We have to find the following

Q: The following quantity cos (7 -) = cos ( TT 6. sin(T/6) -cos(1/6) O -sin(T/6) O cos(T/6)

A: This question is about application of trigonometry identities

Q: 1) Using the formula: cos(x +y) = cos x cos y – sin x sin y, prove in steps 1+cos 2 x that: cos? x =

A: Since you have asked multiple question, as per our guidelines we are supposed to answer only one…

Q: d) Verify the following identity cos 0 + sin e = 2secs e 1+ sin 0 cos 0

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Q: Qshow that: Cos 40 8 Cos"e +8 Cos e+1

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Q: 2. If sin a =,0<a< 3. 2V5 ,where <B < 2n 3 . cos ß = Determine the value of a. sin(a + B)%3D b.…

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Q: Which of the following expressions is equivalent to (1+ cos 0)²? COS 1+2 cos(0) + cos²(0) • 1+ cos²…

A: important formula   ;   (a+b)2= a2+b2+2ab

Q: Solve for O on Co, 2T) 6 sinio + 9 cos 0 -9-0 2 Sin O + 3cos o -3=0 Sin O +los? = Sm?O =1- cos?O…

A: Form the given trigonometric equation in the quadratic equation than solve by factorisation.

Q: 1) Using the formula: cos(x + y) = cos x cos y – sin x sin y, prove in steps that: cos? x = %3D…

A: Note - Since you have posted multiple questions, I am answering first one for you as per the…

Q: de 2- sin(e) ( cos(e) de 1+cos(0) de 2- 3sin(e) de 3sin(e) + 4cos(e) + 5 de sin(e) + 3cos(6) + 3

A: SOLUTION Given ∫dθ2 -sinθ∫cosθ dθ1+cosθ∫dθ2-3sinθ∫d θ3 sinθ+4 cosθ+5∫d θsinθ +3 cosθ+3 we need to…

Q: Find cos (0 + p) given that cos 0 = and cos p = and that 0 and p are %3D between 0 and n/2.

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Q: 2)50lve For Oso<27 -13 Sin n a =Coso

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Q: 2n (1-cos0 5. Evaluate p³cos²0 dpd0

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