Problem 4. Let PoP Pn-1 be a regular polygon inscribed in a circle of radius 1. Prove that: a) Po P1 Po P2 Po Pn-1 = n; - sin (п — 1)л •sin b) sin .. %3D 2n-1 377 sin 2n (2n - 1)7 -sin c) sin ... 2n 2n 2n-1

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A: This identity is not correct so I am providing the answer to the correct one. We will prove the…

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A: Given: V=2ρz2sinϕaρ+ρz2sin2ϕaϕ+2ρ2zsin2ϕaz To find: Gradient of given function.

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A:

Q: Question 8: a. b. 12 (5+3)*(S²+3) 18 (5+3)*(S²+9) 6s C. (s+4)*(s²+4) d. None of them L(sin…

A:

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A: The given problem is to find the general solution for the given differential equation.Given…

Q: Problem 4. Let PoP Pn-1 be a regular polygon inscribed in a circle of radius 1. Prove that: a) PoP…

A: Given: A regular polygon P0P1…Pn-1 is inscribed in a circle whose radius is 1. To prove: (a)…

Q: a) sin 3π 4 b) sec 47 3

A:

Q: If sin = O a) 1/ Ob) _42 4√2 Oc) 4√2 Od) - O e) _4V/2 9 - 4√2 and is in quadrant IV, find sin (20).…

A: Given: The given equation is sinθ=-13, where θ is in fourth quadrant. To find: The main aim is to…

Q: X 0 4 Which of the following equation relating and r is correct?

A: Solve the given for theta

Q: Use the fact that 8 cos3(2?/7) + 4 cos2(2?/7) - 4 cos(2?/7) - 1 = 0to prove that a regular…

A: As per the question we have to use the fact that : 8cos3(2π/7) + 4cos2(2π/7) - 4cos(2π/7) - 1 = 0 to…

Q: Q5: Find: a) £[3-5e²t + 4 sin t - 7 cos 3t] b) C- 3.s s²+16 5 s² +

A:

Q: 8 17 3 3. (Trigonometry) If sin(a) 음 where 0 < a < 5 and cos(B) 2 where 5 IT * < B < 2n, find the…

A: for simplicity use  here we have

Q: Use the fact that 8 cos3(2π/7) + 4 cos2(2π/7) - 4 cos(2π/7) - 1 = 0to prove that a regular…

A: Given: 8cos32π7+4cos22π7-4cos2π7-1=0 To show: Regular  seven-sided polygon is not constructible with…

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A: To determine two coterminal angles one positive and one negative for the following angle.+23π

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A: Idea: substitute x=rCos(theta) and y=rSin(theta) and simplify we get equation in Cartesian form

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A: 8) The given integral is ∫x33x4+12dx

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A: We know

Q: 85. Evaluate cos (90° – sin-1) a) + V15 2-V15 b) unde fined c) +V15 4-V15 2-V15 d) + e)

A: Given:

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A: Given,

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A: Answer and explanation is given below

Q: 34. Evaluate sin(1 +í) and express the result in rectangular form. A) 1.554 +0.787i B) 1.115+ 0.235…

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A:

Q: 15) In right ABYE, ZY is a right angle. Cos(B) is . What is sine of ZE?

A: Sin E=Opposite/hypotenuse  Cos B=Adjacent/hypotenuse

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Q: 4. Find all solutions in radians. a) cos(50) = -1 IN 2

A: Since you have asked multiple question, we will solve the first question for you as per our guide…