- Let y = cot x + (cot x) In(sin x) and y"= . Show that Csc2 = -3 cot x + 2y. dr² ·

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A: Given : (sinθ - θcosθ, cosθ + θsinθ);            0 ≤ θ ≤9

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A: We find the point of intersection by setting them equal

Q: 1 29. J1+sin z cot z rp- sin z 30. -dr sec z 31.

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Q: Prove that (csc(x)) = -csc(x) cot(x). xp -(csc(x)) dx )0) – 1([ sin?(x) sin?(x) sin(x) sin(x) II II

A: NOTE: Refresh your page if you can't see any equations. .

Q: J 1 cot³ x O 3 2 dx = In | sec² x − 1| + C --- O 1 tan² x + ln | sec x + C 4 O 1 2 O 1 2 1…

A: I have stated the used formulas in the solution

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Q: Find the area bounded by the trigonometric curves O2.828 square units 1.414 square units 3.667…

A: To find: To find the area bounded by the trigonometric curves- y=sin x and y=cos x from x=π4 to…

Q: ) Sea z = sen(x – at) + cos(x + at). Verifique si a2. ||

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Q: 2) Proof that If y = f(x) = = cos x then dx sin x

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Q: Prove that (csc(x)) = -csc(x) cot(x). dx 1 d 유(csc(x)) dx dx )(0) – 1( sin?(x) sin?(x) sin(x) sin(x)…

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Q: If V(x)= In[sin(x)- cot(x)], find V'(x). %3D O a. cos(x)- csc-(x) sin(x) + cot(x) O b. cos(x)-…

A: Here we have, V(x)=lnsin(x)-cot(x) We have to find V'(x)=?

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Q: 7. fsins y cos' y dy

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Q: ve f (cot x + tan x) dx then evaluate the an

A: The trigonometric square formulae state that: cot2x=csc2x-1tan2x=sec2x-1         -(1) The integral…

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Q: d -tan(z) = dz sec(x) O cot(x) O sec2(z) O

A: we have to find ddztanZ i.e we have to find derivative of Tanz with respect to z ddzTanz=sec2zdzdz

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Q: by using mean value theorem prove |sin(x) – sin(y)I < ]x – y|

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Q: Prove that (csc(x)) = -csc(x) cot(x). dx 1 d -(csc(x)) d dx )(0) – - 1 sin2(x) sin?(x) 1 sin(x)…

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Q: Use integration by parts to find L[cos t]. Do not use et.

A: Laplace transform

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Q: Find Fourier sertes [o, 2] an 2) fex) f Cx) = Sin X ニ

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Q: Prove that (csc(x)) = -csc(x) cot(x). dx (csc(x)) dx dx )(0) – 1( sin?(x) sin?(x) sin(x) sin(x)…

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Q: sin ®x cos*x dx. using Wallis formula

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Q: cos y sin x Let cos y Is continuous at (0, 0) ?

A: We will follow the definition of continuous funtion to solve the problem

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A: Given y=cot-1cosx We will find y'that is the derivative of y. Chain Rule: If y=fgx, then y'=f'gx·g'x

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Q: Find the area bounded by the trigonometric curves y=sinx and 2.828 square units 1.414 square units…

A: Given that curve y=sinx and y=cosx    from x=π4 to x=5π4To find :Area bounded by the region from…

Q: Determine the concavity of y = 3 + sin x on [0, 27

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Q: Prove the identity.   sinh(x+y) = sinh x cosh y + cosh x sinh y

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Q: Differentiate. y = 3x2 cos x cot x y' = 6x cos (x)cot(x) + 3x2.-sin(x)cot(x)· csc2(x)

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