15. Use your identities for the following: sec(r)- 2V3 tan(x)< 0. Find sin(x) and cot(x) 3 а.

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A: To evaluate the integral

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A: Using differentiation rule,

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Q: 23. x? sin (x³) cos (x³) dx

A: ∫x2sin5x3cos3x3dx=∫sin5x3cos3x3dx      x3=u,3x2dx=dx, x2dx=1/3 dx=∫sin5x3cos313dx

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A: Here the given differential equations are 1st order linear differential equation. As stated we will…

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A: The given question is taken from trigonometry and calculus so we have to deal with both of the given…

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A: Given problem:-

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A: for y , y'=?

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Q: x4 1 If u = tan(- + y° x² – y² - then show that ди du + Y- ду X - = sin2u dx

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Q: 40 a) Find sin' xcos' xdx by using substitution u = cosx.

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A: Given equation is

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

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A: Topic- Derivative

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Q: V3 Find cosh 0, tanh 0, coth 0. 2 B) If sinh 0 =

A: Given that sinhθ=32 We know that cosh2θ-sinh2θ=1 ⇒ cosh2x=sinh2x+1 cosh2θ=322+1=34+1=74 coshθ=72…

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A: The solution for the above question is as shown below.

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Q: satisfied

A: We will solve the problem.

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A: Follow the procedure given below.

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A: Topic  =trigonometry

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A: All given options are wrong. See the attachment

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A: