1. If tan x = 2 then tan( - x) : %3D 2. If sin x = 0.7 then sin( – x) 3. If cos x = 0.7 then cos( – x)=

Q: (a) Is Rolle's Theorem applies for the function ƒ(x) = cos(sin¬'x) on the closed interval [-1, 1]?…

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

Q: 16) If Sin A = where 0 < A <; 2 12 Cos B = where 13 < B < 2n 2 then find the value of ... Cos 2B Sin…

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Q: 8. 4 sin(at +b), where a and b are constants.

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Q: (1–tan? x) = cos x on the domain 0 < x < 2T. Solve (1+tan? z) 27 O T, 3 п, 품, 뚱, 47 3 27 O , , 2ㅠ 57…

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Q: 1. Find the value of A between 270° and 360° if 2sin²A – sin A = 1 |

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Q: Eliminate the parameter t from the following. x = cos t − 2, y = sin t + 5

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Q: Which function has a period equal to half the period of the function in y= 5cos +4 3 X-T 10 y = 2cos…

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Q: If j(x) = e(sin(x)+cos(x))² , then j'(x) = 2 cos(2x)el+sin(2«) COS

A: Given

Q: -When the (4tan e. tan2 0 = 1),the value of (0) from 0° to 360°.

A: We will use the formula tan2θ = 2 tanθ1-tan2θ Hence 4tanθ . tan2θ = 14 tanθ2 tanθ1-tan2θ = 18…

Q: snip

A: It is given that;  f(x)=sinx, -π2≤x≤π2,g(x)=cosx , 0≤x≤π,h(x)=tanx,   -π2≤x≤π2 We have to find the…

Q: Suppose that sin(a) = 4/8 and cos(b) =3/8 define in the first quadrant, determine sin(a+b). (round…

A: We have the relation,                cos2x+sin2x=1   If sina=48= 12                 cosa=1-sin2a…

Q: Find the value(s) of x in [0, 2n] for the given equation: cos?(x) - cos(x) - 2 = 0..

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

Q: The function y = sin 3x with the interval 0 ˂ x ˂ 2, has how many complete cycles in 2? 1 6 3 1.5

A: The given function is y=sin (3x) We have to find the number of complete cycles of the given function…

Q: 3- the solution for the following O.D.E y' = In(x) + tan (x) %3D

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: Pre cal How do I evaluate?

A: Given expression

Q: Please find all 0 <0 < 2n, for which .. (a) tan () = v3 (b) 3 sin? (0) + 4 = 5 (c) 2 cos(ln(x² + e*)…

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Q: 1.)When m is odd, we can integrate sin" (x) dæ by letting u cos(a). Why does have to be odd for this…

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Q: 2. S tan (x)sec*(x)dx = tan10x a. tanx + 8 + C 10 tan10x b. tan®x + C 8 10 sec10x с. sec®x + C 10 8…

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Q: 1. S dr 1+sin a+cos a

A: The solution is given below in the next step:

Q: 10 5. 18 Show work: trig ratio (sin, cos, or tan) of x = - trig ratio: = b'

A: Given data: *The hypotenuse of the right angled triangle is 18 units. *The side opposite to the…

Q: A B - f sin(1-x) (2 cos(1-x))4 dx (2-sin(1-x)5+C 5 (2-cos(1-x)5+C 5 O A OB O O D OE None of the…

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Q: 4) Find the value of cos(1.74) from the following table oot x y = sin(x) Hint: dy dx 1.7 0.9916…

A: The given problem is to find the value of cos(1.74) by using newton divided difference method from…

Q: S cos ( x^3 ) dx = * sin ( x^3) + c 3x^2 sin (x^3 ) + c - sin (x^3 ) + c - 3x^2 sin ( x^3) + c none…

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Q: 9 Find 0 if 0<0 < 2n and: d sin 0 = 1 h cos? 0 = i tan 0: i tan? 0 = 3

A: To find θ if 0 ≤ θ ≤ 2π  sin θ = 1cos2 θ = 12tan θ = -13tan2 θ = 3

Q: Find the exact values of sin and cos for sin e= on the interval 0° s es 90°. 2 sin 0.1691, cos…

A: We know that,  cosθ=1-sin2θ         cosθ&gt;0 in 0°≤θ≤90°        ⋯⋯1sinθ2=1-cosθ2…

Q: ) Let Sin x = -12 13 X in quadrant II , and siny=21 Y in quadrant I. Find al Sin (x +y) b) Cos (x-Y)…

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Q: snip

A: Consider fx=sin x, gx=cos x. Evaluate: fg-1513. Let gx=y. y=cos x Replace y by x and x by y. x=cos…

Q: 5. The function f(0) = (sin O+cos 0) + (sin 0– cos 0) may be written as

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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: 12. Given that V3 cos x = cos(-x), tan x= A 3. cos(f B V3 C 1. V3

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Q: IFS(x) = - sin(x), then S ® (1) is equal to - sin(x) B) - cos(x) sin(x) O cos(x)

A: We have to solve

Q: 4) Find when y? – x² + cos(x + y) = 0

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Q: 4. sin M= 20 16 30 5. tan L = 6. cos Z = 16

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Q: 8) S dx it sinx + cos x a) in (1 + tan =) + c b) In (i - tan £) + c c) - In (1 + tan x) + o 2 d.)…

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Q: 2 tan 4x dx The is equal to 1- tan 24x A. In(sec 8x) + C B. In(sec 8x)8 + C 1 C. In(sec 8x) + C D.…

A: Since you have posted a multiple question according to guildlines I will solve first question for…

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: 2/12 6. If sin(t) =- and cos(t) < 0, find the exact value of tan(t). %3D

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Q: If f(1)=3, f(1)=1,g(x)=cos x, and h(x)=[{x)]/[g{x)], then what is h'(1)? Round to the nearest…

A: To find h'(1)

Q: 2sin (2x) cos(2x) dx = cos (2x) + C sin (2x) + C 6. the above the above cos (2x) + C 6. sin (2x) + C…

A: We need to evaluate ∫2 sin5(2x) cos(2x) dx                           (1) Let sin(2x) = t On…

Q: a Show that (sin(m + n)x + sin(m – n)x) b Hence, without using the product rule, differentiate sin…

A: We will find out the required values.

Q: 5 35 sin? 0 cos50 de -2 S(x e* – tan x)dx -3

A: We are entitled to solve only one question at a time and up to 3 sub-parts only. Given - ∫0π235…

Q: 3) If y = sin(2n), and x = cos(2n)

A: As per our guidelines we are supposed to answer only one question.Kindly repost other question as…

Q: 5. * S sin(1 – x) (2 – cos(1 – x))* dx A C (2-sin(1-x)5 +C (2-sin(1-x)5 +C+ D. (2-cos(1-x)5 +C…

A: topic - indefinite integral

Q: 11. x² - y? = 7 12. x sin y - y sin x = 0 13. x cos y +y cos x = 0

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Q: 1. Given sinx 12 and cos y : 13 both x and y lie in sxs, determine a) cos(x+y) b) sin 2y

A: Given query is to find cos(x+y) and sin2y.

Q: 10. If y = sin 2x + cos 2x, then (yn)o is equal to nn a) (-1)"2" b) 2" c) sin+ cos d) None of these

A: The solution is given as

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: -1 Find y' where y = 22 sin-(cos (9 æ)) – tan (6 æ) Answer: -198 sin(9 x) 1 || V1-cos2 (9 æ) 1+36 x2…

A: To find y'