Calculate the upper and lower bounds: 1+sin^2b/1+cos^2b

Q: sing the relation z=x+iy = rcosθ + irsinθ=re^iθ . Derive z^n = r^n(cosθ + isinθ)^n = r^n(cosnθ +…

A: The relation .The aim is to derive the expression .

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A: We will solve the following

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A: Topic = Derivative

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A: Topic:- hyperbolic function and complex number

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Q: is there a proof that cos^2t +sin^2t=x^2 + y^2 =1 ? if there is , how?

A: To prove the below statement Consider a right angle triangle as shown below

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A: We have to use proper substitutions.

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Q: Suppose f (x) =cos(4- ). Evaluate: A - 3sin x- B D 3sin

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Q: sinx dx cos³x (1 – sec*x)3 A)를 (1-sectx)-4 +C B)를 In(1 sec*x)3 + C c)금 (1-sec+x)-2 + C D)름…

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: 53х dx (53x + 1)2 A) 3 V5x + 1 + C B) – 3 V5x + 1 + C In5 3 C) 3ln5 (V5x + 1) + C D) V5x + 1 + C 3…

A: As per the guidelines when multiple question are posted in single pic  then we are supposed to solve…

Q: which of these possible solutions for cos^2x +n sin^2x - 1 = 0 in the interval x R [0,2pi]

A: This question is based on Trigonometric equation.

Q: Evaluate S" -2n 1 cos³ w sinsw dw 2 O - 1/2 O 1/2 O 1

A: Please find attachment for the details solution

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Q: 25. Prove the following identities. Use proper form and show one step per line. tan (1-x) a) tan =…

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Q: Use de Moivre’s theorem with n = 4 to prove that cos(4θ) = 8 cos^4 (θ) − 8 cos^2 (θ) + 1

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Q: 4/ Prove that: " cos bx dx = (bsinbx +a cos bx]+c

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Q: Use sin2 u + cos2 u = 1 to prove that 1 + cot2 u = csc2 u .

A: Since the equation is  1 + cot²u = csc²u

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A: Show that cosarcsin(x)=1-x2, for x≤1

Q: Compute cos² x dæ. cos 2x +C 4 cos 2x +C 4 2 sin 2x +C 4 2 O cos cos x +C 3 +

A: Formulae: