3n 4. [K4] Given that cos: 11 == 0.6549, use an equivalent trig expression to evaluate sin" to four decimal 22 places.

Q: 1 Use the Trapezium Rule, with seven ordinates, to evaluate In(sin.r+3)dxcorrect to four decimal…

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Q: Find F(1). sin (2t) + cos (2t). use 2 decimal places. Answer: 0.33

A: Given- 12sin2t + 23cos2t To find- Find F1. Use 2 decimal places.       Formula Used-  ℒsinat = as2…

Q: 3. Simplify x(t) = 3 cos(27200t + + sin(27200t + to the form x(t) = a cos(27200t + 0) where a and 0…

A: To convert an expression of the form Acosx ±Bsinxmultiply and divide by A2+B2=A2+B2AcosxA2+B2…

Q: T/2 Evaluate 10 e sin e de by by (a) a substitution, and by (b) using the gamma cos function, and…

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Q: V5 3 If cos(a)= and sin(B) = 풍 <a<nand 2 * <B <27, compute the exact value of the following: with 5…

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Q: 6. Given that sin e = 9/10, find the cos 0. %3D

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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: 1. Differentiate the following functions: cos (x)+1) sin-(2x), a) y =

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

Q: Next Rewrite 6 sin(a) + 1 cos(x) as A sin(r + o) A = %3D $ = Note: o should be in the interval – † <…

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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: Suppose sin u=x and u is between 0 and 2. What is cos u? V1- 22

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Q: 3. S cos ædæ from a = 0 to b = 5

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Q: -Salve the follawing equation far values of fram o to 36o inclusive: 4 tang. tan29 =1 Since tan 20=…

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Q: f(A) is an odd function, and deduce that for each x E R the value of the c) Show that integral 3A…

A: From part (a), the function f⏞λ is defined by f⏞λ=i2π3λcos3λ-1λ2sin3λ Relacing λ by -λ,…

Q: 1 For cos2(xy) = , evaluate y' when x = 1.

A: The given equation is cos2xy=14. Calculate the first differentiation y' of the given equation at…

Q: V3 d the exact value of cos(ø – 8), given that cos(4) = , and cos(8) = -, where o is in the t…

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Q: Eliminate the pavameter from. the follawing. X()= cos (2f) Sint

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Q: for 0, where 0<0< 2n sin 0 = cos0 %3D

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Q: calculate SN given by Simpson’s Rule for the value of N indicated.

A: Given, ∫01cos(x2)dx  and N = 6 Solution: Simpson's rule: Area = ∫abf(x)…

Q: 10* -dx may be written as A lnl secR+ tan R+ C, where A, B, and C are constants not equal to zero.…

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Q: Calculate L4 for f(x) = 84 cos ()

A: Given,           f(x)=84cosx2  over 2π4, 2π2

Q: The area of the region that lies inside r = sin0 and outside r=1 cos60 is given by:

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Q: What is the period for the function, f (x) 1. cos 20? 2.

A: For cos function divide two pi by multiple of theta

Q: Express the number 2/3 – 8i in the form R(cos(0)+ i sin(0)) = Reo, where R> 0 and -T <0 <T. NOTE:…

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Q: Q5. (a). Simplify the following by using Demoiver's theorem. (1– cose +i sin 0)6 (b). Examine the…

A: a) Consider: 1-cos θ+isin θ6. Let z=1-cos θ+isin θ Since 1-cos 2x=2sin2 x and sin 2x=2sin xcos x.…

Q: 4. Evaluate the following in terms of Gamma function sin (4r) cos (2r)dr

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Q: Approximate to four decimal places, when appropriate.

A: To evaluate,

Q: Q2// Given that oc= = sec-(-V13/2), find sin x, cos x, tan ox, csc o and cot x.

A: Given: write as Formula used

Q: Find tan 5, given that tan x = 3 and t<x< 2 10 +1 O A. 10-1 OB. V10 - 1 Oc. V10 + 1 OD. 3. 3. 3.

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Q: G:2 Approximate the sel of K= Sin xo upto 4 decimal places by using Nedu'ton methed

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Q: At which of these x-values is the value of y=cos x greater than the value of y=sin x? Select all…

A: From above we can see that when x=π6, (cos x,sin x)=32,12 here cos x&gt; sin x From above we can see…

Q: 10* -dx may be written as Aln secB* + tanB*| + C, where A, B, and C are constants not equal to zero.…

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Q: At what value(s) of x does cos x = -x?

A: Given,

Q: In the interval 0 < x < 27, for what value of x does sin x = cos x? TT 5T and 4 4 and 4 4 only 4 -…

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Q: What is the exact value of cos ZPQR? 3. P 4 R. 7. 16 • Previous tv 2] 3/16

A: We have to find cos angle of PQR.

Q: 3. Calculate L {e=# cos(2t – 7)} COS

A: Given function is as below :

Q: Evaluate the given function tan?ydy = sin xdx is equal to.. 30 3 (tany - у) А. Зх- = cos³x + cosx…

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Q: What are the two values of k closest to -7 for which , sin2 (x +7)- cos2(x +7) da has a value of 12…

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Q: 7) Use the given figure to write the trigonometric ratio as fractions and as decimals rounded to the…

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Q: S= dx 3+ sinx+cos X

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Q: c. Find approximation of the value cos(65") with error less than 5 x 10-5.

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Q: given f (x) = 3/5 cos (6x), what is the largest possible value for f (x)?

A: Given query is to find the largest possible value of the function.

Q: D. Express each of the following as a product of circular functions. 1.- sin(-20) + 3sin20 2. cos 3x…

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Q: Q1/ Answer the following: (a) Show that sin¬'x + cos-1x x(x-y) ), where- -> -1 y(x+y) (b) Find the…

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Q: 11T 2. What is the exact value of cos()?

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Q: express the given quantity in terms of sin x andcos x. cos (π + x)

A: Given expression is cosπ+x. To express the given expression in terms of sinx and cosx. Solution: We…

Q: 2. %3D 8. Assume that cos(r) = 15 for r in quadrant IV. Find sin(2.r), cos(2r), and tan(2r).

A: Given - cos(x)=1517, x is in fourth quadrant.To find-sin(2x) , cos(2x) and tan (2x)Here we will use…

Q: Suppose v is in the interval (G, T ), with tan v = –3 Find the exact expression for the indicated…

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