sin? 2t and x = cos² t

Q: 2. 4 sin? x cos'x dx

A: To evaluate : ∫-π2π2 sin3x cos4x dx

Q: sin xdx 3. S 7+cos? x

A: Given integral, ∫sinx dx7+cos2x

Q: Rewrite – 4 sin(r) + 4 cos(x) as A sin(x + ø) A = $ =

A:

Q: snip

A: The given identity sinθcosϕ2+sinθsinϕ2+cos2θ=1

Q: Find sin a. (-3, 4) sin a = [? r

A:

Q: 30 sin? x = 30 + 15 cos x

A: We have sin2x=1-cos2x. Now the equation becomes 301-cos2x=30+15 cos x⇒30-30cos2x=30+15 cos…

Q: tan²(z) cos³(z)dæ

A:

Q: cos? 2 2 dx sin -1 2

A:

Q: cos? sin' (금) - 2=0

A:

Q: cos 2x sin'x dx can be evaluated by factoring sin x as (sin?x) 2sinx and transform sin?x into 1-…

A:

Q: 41. | sin &r cos 5x dr

A: This integral can be done by using the trigonometric formula In the given question a=8x and b=5x…

Q: If sin x = A + B cos 2x + C cos 4x, then A = 2 B " с =

A: Since you have posted multiple questions we will answer first problem for you for remaining please…

Q: | sin? 8x dx = попe

A: We have to find the integral.

Q: TT -1 Cos 2 sin 2

A:

Q: (1 + cos ?)(1 − cos ?)=sin2 ?

A: TO SHOW 1−cosx1+cosx=sin2x

Q: ∫[sin^3θcosθdθ]

A:

Q: cos x = sin 2x, x I SO 3.

A:

Q: Evaluate (2 sin? x cos3 x dx 0.

A: The given integral,     ∫0π2sin2x cos3x dx

Q: 12 cos(4r) dr

A: Given,            ∫0πx2cos4xdx

Q: 16 sin? (4V) cos³ (2/T), 0.

A:

Q: sin 34x dx 1 + cos? 34x

A:

Q: Rewrite – 4 sin(x) – 5 cos(x) as A sin(x + ø) A = $ =

A: Given the trigonometry function

Q: Verify the identity. (Simplify at each step.) (1 + sin a)(1 – sin a) = cost - cos? a (1 + sin a)(1 –…

A:

Q: | sin'x cos' xdx = ? /12

A: Given,         ∫π2πsin5xcos3xdx

Q: 4. cos50 = sin

A: find  cos50=sin ....... i.e. cos 50=sinx find out x value

Q: cos3(50) sin(50) de

A: To determine the integral.

Q: Sæ³ cos(x*) dæ =

A: We solve it by u part method , ∫x3cosx4dx Let u = x4 Differentiate both side , we get   du = 4x3dx…

Q: evaluate the integral.

A:

Q: 11. cos (x) = sin (x + 20)° %3D I Answer:

A: We will use the trigonometric identity written below to answer this

Q: 6. (a) 2 cos?t (b) 3 sin 2x

A:

Q: r sin ³0 cos³ 8 do 3

A: Topic:- application of integration and trigonometry

Q: (b) 2 sin cos 2

A: This question is about trigonometric identities.

Q: b. 4 sin? () + 8 cos() - 7 = 0 for 0<0s 360°

A:

Q: -4 b) Given cos 0 = sin? 0 = ? tan? 0 = ? cos (-0) =?

A:

Q: (a) sin(ß/2) (b) cos(ß/2) (c) tan(B/2)

A: cosβ=-13 and 180°&lt;β&lt;270°

Q: 2人 x = 6 sin? 2y

A: The given equation is Now, we have to show that,

Q: sin? x cos“ x dx. 4

A: We have to find integration of sin²x.cos⁴x

Q: sin' cos )d» 4х. 4x, 8

A:

Q: 2 sin? x- cos x – 1= 0

A: Given : 2sin2x - cosx - 1 = 0

Q: sin? cos dx 4x. 4x, 8 5 5

A:

Q: 2. cot 20 = Csc8- 2 sin e 2 cos 0

A:

Q: 2. (cos"B- sin4 ß )?dB

A: ∫cos4β-sin4β2dβ∫(cos2β)2-(sin2β)22dβ∫(cos2β-sin2β)(cos2β+sin2β)2dβ∫(cos2β-sin2β)(1)2dβ∫cos2β2dβ…

Q: cos?e 5.- = 1 + sin0. %3D '1-sin0

A:

Q: Rewrite sin(x + ¹(x + 11T) 6 sin (z + 11T) = in terms of sine and cosx.

A:

Q: sin 2x dx 16 + cos? x

A:

Q: '은(sin-1(- 1 +x? 2x dx 2 Select one: True O False

A: We will use simple properties of definite integrals to find the value of the integral and then check…

Q: 2. cos ?x + 10cosx - 9

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

Q: find sin 7x Gs ga da Sin 7oe Cos

A: This question is based on Indefinite Integration.

Q: sin?(x) + 5 cos(x) + 13

A: Given: Sin2x +5cosx+13