10. Prove that 7/2 TC sin 0 cos (cos a cosec 0) de /2-a (1-cos a). COS

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A: We have to find values of x over the interval 0&lt;= x &lt;= 360 of the equation 2 cos (x) +1 =0.

Q: 11. Evaluate the integral: tan 2x dx A. -In| sec 21| + C -sec² 2x + C С. -In| cos 24| + C D. 2 sec…

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A: The given data is: tan θ= -23  and  sin θ&gt; 0

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A: We know the sum identities: sin(a+b) = sina.cosb + cosa.sinb sin(a-b) = sina.cosb – cosa.sinb…

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A: To determine the value of the integral.

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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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A: Given : sin x = 3/5 and tan y = -3/4

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Q: 5. The function f(0) = (sin O+cos 0) + (sin 0– cos 0) may be written as

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A: Given,            1-12sin2t=sin3t+cos3tsint+cost

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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…

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Q: 1- cos(0) (d) de sin (0)

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Q: 1. Evaluate the integral 7/2 cos xesinx *dx

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Q: 1-Let :=x+iy then cosh(iz ) is equal to a-cos' y+ sinh' x b-cosh' y-sin'x e- sin' x+ sinh v d- None…

A: Let z=x+iy therefore, iz=ix+i2y=ix-y=-y+ix we know that  coshz=ez+e-z2 therefore, cosh…

Q: 10. Evaluate cos x sin² x dx

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Q: 4. Prove that the identity is true. 1- cost e = sin² 0 1+ cos e

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Q: 4) Differentiate each of the following: a) y = - cos²x c) f(0) = sin(20 — π) b) y = sin(20) - 2…

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Q: 8. Evaluate (a). (20-0y di (b). / COS I sin(sin x) dx -3

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Q: 2. Consider finding the root of f(x) = e"(3.2 sin(x) - 0.5 cos(x)) on the interval [3, 4], this time…

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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:-