If A is the top half of a unit circle a^2+b^2 = 1, b ≥ 0 and this is oriented counterclockwise. Calculate ∫A  b^2 da − 3 db

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A: Given Data: Equation:  2 cos2 θ - cos θ - 1 = 0 Interval: [0, 2π) Factorise the given equation.…

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A: Here we have to find, sincos-115 ................ (1) Let,  cos-115=t⇒cost=15

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A:

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A:

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A: Given,

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A: The integration by parts is done using the formula: ∫udv=uv-∫vdu.

Q: 2. Explain why arcsin(sin(0)) = 0 but arcsin(sin(807)) # 807

A: Concept  arcsin(sin x) = x   is true  only when x lie in the interval [-π/2 , π/2]

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A: See the details solution in below I am consider  sin(x^2 )

Q: Question 14 d (tanh -'(cosx)) dx A cschx B) -csCx C) -secx D cothx

A:

Q: CSc : 1/ sin :: sec :

A: Evaluate csc:1sin::sec:?

Q: 5. Sketch the graph of r=2 cos 30 over over [0, a] (use x on [-3, 3] and y on [-3, 3] when using…

A: Solution: Given: r=2cos3θ ,[0,2pi] We are here using the graphing calculator to making graph.

Q: t-a) Scin 3ada

A: L= ∫0t(t-a) sin3a da   =∫0tt sin3a da- ∫0ta sin3a da   =-t cos 3a3t0- a∫0t sin3a da+ ∫0t dada…

Q: Consider the function y=sin0, where 0=u+v. Suppose that u = v. Show how the Sum and Difference…

A: We will see the ans in next step

Q: Find the exact value of cos2\theta if sin2\theta =(3)/(4) and \theta is between 0\deg and 90\deg .

A:

Q: Simplify: cos^2øtan^2ø+ sin^2øcot^2ø

A: Here I am attaching image so that you understand each and every step.

Q: Answer in term of "u" : cos(sin^(-1)(u))

A:

Q: t=sin³x B) [2 sintdt cos(sin 2x)sin 2x dx- A) sintdt D) [ 2 cos tdt →? c) fcos tdt E) fcos 2tdt 4.…

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Q: The graph shows the average cost of a barrel of crude oil for the years 1981 to 1990 in constant…

A: find explain below

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A: Given integration is: ∫2-5cosθsinθdθ To find the value of integration.

Q: Find cos(sin^−1(−1/2))

A: Trigonometric

Q: Use the reduction formulas to reduce sin^4 θ to only linear powers of cosine (cos(θ) = ”linear”,…

A:

Q: 6) sin e

A:

Q: If 2 sin-' p = cos-q, show that 4p² – 4pª + q° = 1.

A:

Q: Find if cot x +1 = sin y

A: Given, cot x + 1= siny