b) 2 cos² x + 3 cosx + 1 = 0 b) x = 2π Απ " 3 3 π , b) 2 cos² x + 3 cosx+1 = 0

Q: b) 6(sin x)² + cos 2x + 1 = 0 [0,2π] I

A: Solution6 sin2x+cos 2x+1=0we know cos 2 x= 1-2 sin2xput this value in the given equation,6 sin2 x+…

Q: Use m = =√₁m [cos (m² (0 + 2kπ)). + 2kx)) + i sin in((0 + 2kx))] to find all solutions of the…

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Q: (cos(80) + i sin(80)) 2.

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Q: c) y = (x-2) 3 x² (x-1)(x+5)4 [Hint: use logarithmic differentiation]

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Q: solve the equation on the interval [0,2π)  cosx+2cosx sinx=0

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Q: b) Solve to find if y = Tant VE and t = 4x-2 – secx dz b) if z = sin20, and 0 = [cos(w) + 1]² + cos…

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Q: Find the product of z1 = 2 (cos 213° + i sin 213 °) and Z2 = 4 (cos 33 ° + i sin 33 °) %3D

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Q: (12) The value of "sin(5x) cos(3x) dx A) 1 B) 2π

A: To find the value of the integration ∫02π sin5xcos3xdx

Q: -olve 2 cos² (w) - 3 cos(w) + 1 = 0 for all solutions ≤w<2π พ

A: Explanation of the answer is as follows

Q: cos² 0 + 3 = 4 – sin² 0 %3D

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Q: 2. Simplify: cos(+ x) cos(-x) = sin(n + x) sin(x + 37)

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Q: The general solution of (D²+2D+1)(D²+4)y=0 is A y=(C,+C,x)e+C,cos2x + C ,sin2r B) none of the given…

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Q: (cos2x+sin2x)+1=2  ?

A: According to the given question, cos2x+sin2x+1=2 we have to prove L.H.S=R.H.Swe take L.H.S

Q: Solve, sin β = - 12/13, π &lt; β &lt; 3π/2.

A: sinβ=-1213, π&lt;β&lt;3π2

Q: Solve trignometric equation a) cosetan e-cost=0 b) cos(2x)-gnx = 0 for 0≤x≤ 1/2

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Q: Find the solution. (D4 + 18D2 + 81)y = 0 A y = (c, + c,x)e²"cos3x + (c,+cx)e2'sin3x. y = (c, + c,)…

A: 16 Given differential equation is D4+18D2+81y=0 We have to find the general solution of the given…

Q: Prove:  cos(π   + x)        2             =−sinx     Please write clearly thank you.

A: We have to prove that cosπ2+x=−sinx. Use formula cosA+B=cosAcosB−sinAsinB Here, A=π2 and B=x Hence,…

Q: If y= x2 sin 2x, then y = А) 2х cos 2x B 2x (sin 2x - x cos 2x) C 2x (sin 2x + x cos 2x) (D) 4x cos…

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Q: 6) Use Linear Property to find ( 1- 3 x4)' A) (1- 3 x4) %3D B) – 4x3 C) - 2 D) - 12 x3 7) Use…

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Q: 1) S“(cosx)" dx. 2) Г(-4). 3) В (10,9) 4) Sº x° e-2* dx Ja-x)i 5) o

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Q: Look for the annihilator of the given expressions. i) e2x sin3x ii) x³ e4x iii) 5x* - 2.x + 8x - 7…

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Q: In e ex 2. dx e2x + 1 In 1

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

Q: a) 2(sin x)² - 1 = 0 [0,2π]

A: a) 2(sin⁡x)2−1=0[0,2π]

Q: 4. Find_r(t), if_r'(t)=4sin(2t)i +8t³j and r(0) = 8i-3j. A) r(t)=-2 cos (2t)i+2t¹ j B) C) r(t)=-2…

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Q: Cos 0=-80/89 and 0 terminates in Q2

A: Given:  cos θ=-8089 and θ terminates in Q2. To Find: The value of θ