304. How many terms in sin0 = 0 03 07 ... are needed to approximate sin 1 accurate to 5! an error of at most 0.00001? +

Q: Find the value of x in degrees: sin x = 0.8766

A: The sine function is positive in the first and second quadrant. We can use inverse sine function to…

Q: Find sin(2x), cos(2x), and tan(2x) from the given information. tan(x) 12 x in Quadrant II %D sin(2x)…

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Q: Use Simpson's rule with n = 6 to approximate cos(x) d.x Keep at least 2 decimal places accuracy in…

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Q: Let sin s=--, with s in quadrant IV and let cos %3D II. Find cach of the following. 4. cos (s +1) 5.…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: 1. Find the exact values of sinh (0) and cosh (0) using their definitions.

A: Sinh x=ex-e-x2∴ sinh0=e0-e-02=1-12=0∴sinh0=0      cashx=ex+e-x2∴cash0=e0+e-02=1+12=1⇒cash0=1

Q: Given that the sin x = 2/5 and cos x = -1/4 with sin x in Q1 and cos x in Q3, find sin( sin x - cos…

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Q: et sin 0 =0.851. Compute the value of sin(20). Round your answer to nearest thousandth.

A: We are asked to find the sin2θ

Q: Find the value of u in the interval 30°, 90°4 in decimal degrees, if sin u = 0.27843196. Give the…

A: sin u=0.27843196⇒ u=sin-1(0.27843196) Now by using a calculator, we have…

Q: 1. Differentiate the following with respect to the variable given. 1 cosx 2 sin' x tan

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Q: Find an expression for the nth tion for the function cosh r

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Q: Find sin(2x), cos(2x), and tan(2x) from the given information. tan(x) = - x in Quadrant II| 3'…

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Q: Show that L-1{ = (sin hat sin at) s4+4a4, 2а2

A: To find Inverse Laplace transform of ss4+4a4: write ss4+4a4 as  ss2+2a22-2as2 Then the denominator…

Q: use this to evaluate /x*sin (2x)dx

A: Integrating using by parts...

Q: (a) What is the maximum error possible in using the approximation\[\sin x \approx x-\frac{x^{3}}{3…

A: Since, you have post multiple parts here. I am answering first one. Please post again with specific…

Q: A function is given by f (x) = x³ (2.3 sin x – 5 cos x). Compute the root between a = 4 and b = 6…

A: We have to find the root of the following function between a=4 and b=6 using Bisection method,…

Q: s Sin'2o Cos 20 do

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Q: Find the indefinite integral.

A: For the given expression:                       We can solve it using substitution method: Now,…

Q: Q5/ If tan 0 :- find without using table values of: sin 0, cos 0.

A: The given question is taken from trigonometry and calculus so we have to deal with both of the given…

Q: The smallest positive number for which tan(3z) = 1 is z = .The next larger such number is z =

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Q: 4) state laylors your estima te 5) Using in Taylor's Theorem, show that the error in 3) for cos…

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Q: Find the exact values of the following expressions. Decimal approximations will receive no credit!…

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Q: 2. Apply the properties of even and odd functions to find the exact va a. sin(-120°) (-#) c. sin…

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Q: Estimate the error if P2(x)= 1 - is used to estimate the value of cos x at x-0.7. Error - (Simplify…

A: to estimate the error

Q: 8. Find the area enclosed by 1 leaf of r=sin30

A: Let's find.

Q: 3. Give upper and lower estimates (in terms of n alone) for sin nb COs na + valid for all a, b; show…

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Q: 2. Write –2 cos x – 3 sin x in the form R cos(x – a) with -7 < a < T. Round to three decimal places.

A: Answer is given in asked form.

Q: 6). S sin 20 cos 50 de

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Q: /2 S sin50cos3ed0

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Q: Find sin(2x), cos(2x), and tan(2x) from the given information. sec(x) = 8, x in Quadrant IV sin(2x)…

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Q: one of sin x, cos x, and tan x is given. Find the othertwo if x lies in the specified interval.

A: It is given that sinx=35.

Q: 5T then 4 If 0 = - cos(0) = sin(0) = Cive evact values No do imale

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Q: Find sin(2x), cos(2x), and tan(2x) from the given information. sin(x) = // 1₁ x in Quadrant I…

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Q: 3 Estimate the error if S10 (Simpson's rule with n = 10) was used to calculate sin(4 x) dx .

A: I=∫03sin4xdx Integrating it- I=-cos4x403=-cos124+cos04=1-cos124=0.0054

Q: 6. Suppose that < 0 < n and sin 0 = . Find the other 5 trigonometric functions evaluated at 0.

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Q: 4. Establish the identity using the sum and difference formulas: sin (m – 0) = sin 0

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Q: 278. Suppose that sin(ln x) = 3, and that sin(ln y) = }. If 0 < ln x < and 0 < ln y < , use the…

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Q: Find the indefinite integral. sin3 70 cos 70 de

A: Topic = Integration

Q: 2) Find the exact simplified value of tan 2, () 3m sin 0 where n s0<4 2.

A: Given

Q: Find the values of θ between 0° and 360° such that: sin θ = 0.8

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Q: 5. Evaluate 1. , sin(x?) dx

A: #1 intregal

Q: 4. As 0 increases from 90 to As ð increases for 180 to 270 degrees, describe the value of Cosine…

A: here we discuss the , some degree to describe the value of cosine and sine over the interval . cos…

Q: 4. Use Walli's formula to evaluate 2 sin*x cos°xdx.

A: Given integral is as below:-                  ∫0π2 sin4xcos9xdx

Q: Let sin 0 =0.127. Compute the value of sin(20). Round your answer to nearest thousandth.

A: Let  sinθ = 0.127  We have to compute the value of sin(2θ)

Q: Find the value of s in the interval (0, n/2] that makes the statement true. Round to four decimal…

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Q: Derive a formula for ſ tan x sec "x dx where n 40

A: Integration problem....

Q: 5. Determine the exact value of sin 1l7 |. Include a clearly labelled diagram. [3 marks]

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Q: When a pendulum 0.5 m long swings back and forth, its angular displacement O from rest position, in…

A: Given    Diagram we have a triangle with the vertical angle as Ø, the hypotenuse 50 cm (the…

Q: Find the value of s in the interval [0, n/2] that makes the statement true. Round to four decimal…

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Q: 33. Use addition formulas and the values of sin 0 and cos 0 for 0 = to compute sin 12 and cos…

A: Given: sin7π12, cos7π12 We know that sinA+B=sinAcosB+cosAsinB…

Q: B.Determine the values of n and h required to cprovimate sin3xdx to within 0.0002. Use Composite…

A: Error in calculating the integral I=∫abf(x) dx by using composite Simpson's rule is given by…