Use the Maclaurin series for sin(x) to approximate sin(2π/3) to three significant digits. After how many terms will you get a satisfactory approximation knowing that the true value of sin(2π/3) is 0.866025.

Q: Use the sum and difference formula given as: sin(α + β) = sin α cos β + cos α sin β and sin(α − β) =…

A: sum of two angles of sine function is given by: sin(a+b)=sin a cos b+ cos a sin b Difference of two…

Q: –2x x- -dx x2+e-2r A (x-e-2r) x²+e-2x xp- B -2 (х—е -2) x²+e-2x xp- e -2r dx x²+e-2r x²+e -2x D E)…

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Q: Find sin theta and cos theta, if tan theta = -3 and theta terminates in Q3.

A: Note:-Since you asked multiple questions, according to our policy we can answer only first question…

Q: A root of the equation tan x - tanh x = 0 lies in (7.0, 7.4). Find this root with three decimal…

A: The solution of given equation is given by using False-position method.

Q: Use a calculator to solve the equation sin x = 0.8246 correct to four decimal places, on the…

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Q: 5. LET LN [e (2 TANX)] = LN 1. SOLVE FOR X, ON [ 0, 2*PI). 6. PROVE THE IDENTITY: ( SEC 2 A)* ( COT…

A: Let's find x values.and proves given trigonometric identity.

Q: Express sin 20 in terms of x, where x = sin 0. A. sin20 = sin? 0 = x² 2x(1– x² )² C.sin20 =…

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Q: 3. [32] −1 4-3 4. 5. [. |_3 -4 2 1 2 -1 4,

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Q: Using Newton’s iterative method, find the real root of [x sin + cos x = 0], which is near x = T…

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Q: 4 If tan(a) and cos(b) 3 answer in a simplified fraction. 8 with a in quadrant III and b in quadrant…

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Q: + on 0 = -1/3 cohere 10404190 Find Sin 2 0

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Q: Find the following values. χ^2 22,0.1 = . (Round the final answer to three decimal places.)

A: We have given the problem of Chi-square distribution.We have to find the value of the above.

Q: find tan(-x) if cotx=(pi/2"-x)=-1.84

A: This is the problem of counting and identity.

Q: verify the expression cos (? + ? /4 ) + cos (? − ? /4 ) = √2 cos x

A: Obtain the unknowns of the given expression and prove that, the LHS and RHS of the expression are…

Q: What vaule of 0 = sin (0/3 - 10)

A: that is equal to 0=sin(0-10) than 0=sin(-10) such that -10=sin^-1(0) that is equal to zero