r = 4 sin 0 r = 1+ sin 0 В A

Q: coth¯x dx = x²-1 coth¹x + 2 1 / + C Prove that the right side is equal to the left side

A: The problem is asking us to prove that the integral of coth(x) dx is equal to x^2 - coth(x) + 2 + C.…

Q: sin(2u) cos(2u) sec u c) sin u c u

A: We have to show that sin2usinu-cos2ucosu=secu We have to consider the left hand side of given…

Q: sin u du to

A: See the attachment.

Q: cos z cot z = sin z

A: We have to prove cotz=coszsinz

Q: verie The ldentit 1-Sine Cose ८० ५० 2sece 1-21ne

A: Firstly, wesimplify left hand side of equation by adding two fractions.

Q: Calculate the following integrals. In both cases the curve C has a counterclockwise direc- tion: 4.2…

A:

Q: 7/2 [sec¹ x tan³ x dx 4. 0

A: As per bartleby guidelines we only give first question answers. Please repost for other parts.

Q: Oz Oz find Ox if – sin(4xyz) = x² +y² + z³ Oy 2

A:

Q: sin30dß-4cos2ßde = 0

A: Using separation of variables, we solve                             sin(3θ)dβ-4cos(2β)dθ=0

Q: A B 25/sin² 5 (sec 0 - cos 0) d )* Which of the following is equal to S; x² +25 dx ?

A: The given integral is x2/sqrt(x2+25).

Q: 4 sin 0 1 – 3 cos 0

A: Using Pythagorean identity we write the equation with sin, then solve for sin theta.

Q: 2 L-1 (s+2)²+3 бе 6e-2t sin3ta O 2e-2t sin/3t0 .b V3et sin 3tco 2/3e-21 sin/3t.a0

A:

Q: TC Sinh exp -i sinh 1 -i sin 1 i sinh 1 i sin 1

A:

Q: 5q sin q p = 4 q* - 3 dp = dq

A: it is very basic problem of diffrentiation.

Q: tan y-1 . sin y- cos y- 1 www. Prove that tan y +1 sin y + cos y+1 2.

A:

Q: 2 sin 0 - 3 sin 0 + 1 = 0

A: We will solve for theta as following .

Q: 1+cos 4x dx 1-cos 4x Evaluate

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Q: 4 sin 0-2 csc 0= 0 with 0 degrees

A: We use sin0=0 and csc0=1/sin0

Q: dx cot 3x sin 3x -1/3 sec 3x + C

A: ∫dxcot(3x).sin(3x)=∫dxcos(3x)sin(3x).sin(3x)

Q: sin v de Evaluate da

A:

Q: L G -S 2 (5² +a²)2 11 t sihat 2a

A:

Q: 4 cot x = cot x Sin 2 X

A:

Q: Cos z+1 cos 2 1 + sec x =

A: Use simple trigonometry relation.

Q: True or false? sin45∘cos30∘−cos45∘sin30∘=sin60∘cos45∘

A:

Q: cos r V1+ cos² x d dy sin

A: The integration with respect to 2 variables is carried out by integrating the inner differential…

Q: S(cscr cot a +4x)dx sec a +x"+c 4. CSc a +x +c sec a+ x"+c O - sin a + a+c CSC a+x"+c

A:

Q: (cot. 1)dr sin I cot z/3 cot?

A: Substitute t2=3cot2x-5 So, tdt=-3sin2xcotx dx and cot2x=t2+53 cot2xdxsin2cotx=-13t dtt2+53dxsin2x…

Q: sin TU 4 R .+α TU sin + a 4 + COS COS TU 4 T 4 + a + a

A:

Q: 3T <B<T 2으 Sin a= - 29+2 2-a<27itan B=

A: Given,          sinα=-2029 , 3π2&lt;α&lt;2π          tanβ=-34 , π2&lt;β&lt;π

Q: D m 0=313 3. Q. I- A Cose C. COSE = Sine e. I Sec 20 b. Sin ²0+ - =1 1 d. _ _I tono It. f. 1+_ =…

A: