(i) Express -5 sih 0 + 12 cos 0 in the form R cos(0 + a), where R>0 and 0
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A: a) x=-3-8ib) 2+5i2+2i
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Q: 1. Calculate for one real root of tan x = 4x with 0 = 1.2 co up to four decimal places using the…
A: We need to find one real root of tanx=4x with initial guess x0=1.2 upto four decimal places using…
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A: The given data is: tan θ= -23 and sin θ> 0
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A: Since, we have been given that f(x)=8 cos (x)+5 tan (x)Also, we have f'(x)=-8 sin (x)+5cos (x)2Our…
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A: The position at time t ≥ 0 of a particle moving along a coordinate line is s = 10 cos(t + π/4) We…
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A: We will find the approximate value of cossin-1-0.44 in the following step.
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A: ∫vn dv =vn+1n+1+C
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Q: find the value of so that ky"=-1 at y=. 6. For cos x- sin y=-
A: On solving this by doing differentiation implicitly we get
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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.
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Q: 1. Determine the value of cos(2x+2y) if sin z 3 and tan y = - for 4 sysa. for 0sxs: VI VI
A: Given : sin x = 3/5 and tan y = -3/4
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Q: Im cos 2x + sin 2x} %3D Cos 4i - 4
A: To find: The imaginary part of -x4icos 2x+x4sin 2x. Concept used: If the complex number is written…
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Q: Prove that: cos(nx) - cos(na) cos(x) – cos(a) sin(na) sin(a) dx = n neN, a ER - {0}
A: To solve this question take different values of n and calculate LHS and RHS separately. if…
Q: b. Express tanh x in terms of e* and e-* and hence show that 2 tanh x tanh 2x = 1+ tanh? x' c. Given…
A: (b) To proof : tanh2x=2tanhx1+tanh2x It is known that, sinhx=ex-e-x2coshx=ex+e-x2 so,…
Q: 9. Solve the equation for x if 0 < x < 27. 2 cos x + tan x - sec x = 0 VI
A: The correct option is option A. Use the trigonometric ratios and identities to rearrange the given…
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A: To evaluate: ∫0π2sinx3cos4x3sin2x3dx Let I = ∫0π2sinx3cos4x3sin2x3dx We know that sinxcosy =…
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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 = 1+cos 2…
A: Since you have asked multiple question, we will solve the first question for you. If youwant any…
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: B) Express the given quantity in terms of sin x and cos x. Sin (2n – x)
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Q: If y=-cos x, what is x-value between pi and 2 pi corresponding to y-value of 1/2
A: Let's solve for x value.
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Q: 1. f cos³ 3x sin¹ 3x dx 2. fcsc4 5x cot4 5x dx 3. ƒ cos³ xdx from a = 0 to b = 2
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Q: 39. cos (T + x) 40. sin (2m- xr) 學一) 37T 42. cos 41. sin -
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Q: f/² sin (3) 4x COS ; (**) sin (*) dx (Consider initially the first 2 terms)
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Q: Cos (GX) = Cos 15°, 0°<x < 360° Со X) = Cos 15°, O° < x < 360° %3D Tan( x ) = tan,05x < 2n )= tan,
A: We can find the answers as below
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Q: 2. Locate the first positive root of f(x) = sinx + cos(1 +x³)- 1 where x is in radians. Use four…
A: (a) We need to find the root between 1 and 3
Q: How do you solve this?
A: Given that cos x = 1/3 and x is in the interval (0, π/2).sin y = 1/2 and y is in the interval (π/2,…
Q: Evaluate sin (4x + 14) dx cos (4x + 14) Ocos (4x + 14) + C O-cos (4 + 14) + C -cos (4x + 14) +C…
A: Integration
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A: Given: θ is in standard position and its terminal side passes through point (4,-2)
Q: -3 cos (2x)+sin(2x) in the form Rsin(2x+a)where R>0 and 0 <a<2n. Express
A: Hello. Since your question has multiple parts, we will solve first question for you. If you want…
Q: 8. Evaluate (a). (20-0y di (b). / COS I sin(sin x) dx -3
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Q: 1 find the value of so that ky"=-1 at y= For cos x- sin y=- O V3 2 4 4
A: Solution:-
Q: (11). - cos?(2y) sin? (x), y(등) =0 Workings y= tan '(z - 글sin 2v) +
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4. Please do the first part (i)
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