1. S sin? xcos4xdx

Q: 3.) S(1 – sin?xcos²x)²dx

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Q: tan(v) In(cos(v))dv.

A: Assume lncosv = t Differentiate both sides

Q: Jo Jo L p sin o cos ddpd0do

A: convert rectangular co ordinate into spht coordinates  and put values

Q: sin? Cos dx 2

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Q: Evaluate S cos ve Vē sin? ve

A: consider I=∫cosθθ sin2θdθto solve the itegral we can use method ofsubstitution

Q: Solve the following integoal *Sin9x dx

A: Integration by parts: The integration by parts formula is given by, The given integral is, Here,…

Q: Show that 7 sin? ædx L' cos? ædx

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Q: If sin a: 1 then sec a =?

A: We can solve this by using trigonometric identities . We can use the identity sin2α+cos2α=1 . By…

Q: In right argle triargle, A =q0° and tanc = V3 End : sin B cośltcos Bsin C %3D

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Q: 1- cos4x sin?xcos?x %3D 8

A: some formulas: 2sinxcosx=sin2x1-2sin2x=cos2x2cos2x-1=cos2x Given expression is: sin2xcos2x Multiply…

Q: Q/ ind dy if 24-sini' (xe!)=sin'(x*)+ cos (x")

A: Given that      2y - sin-1(x2+1) = sin2(x4) + cos2(x4) Here we have to find dy/dx.

Q: [ san28 e tan 20 ,tan 28 sec 2 Bd

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Q: If tan ☺ =3, T e<3T Find the exact att valce AJ sin 6

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Q: Find dr 0Y-- の 3. Cosr+ Cot O =r

A: Solution:-

Q: 6). S sin 20 cos 50 de

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Q: /2 S sin50cos3ed0

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Q: 22. Determine sin? y cos® y dy

A: Note that the reduction formula for ∫0π2cosnx dx=n-1nn-3n-2...231, if n is oddn-1nn-3n-2...12π2, if…

Q: Find L(sin 2t cos 2t) inned with CamScanner

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Q: Derire the gy ivenidentities Sin20 = sec seco Sine Coso

A: To prove: sin2θsinθ-cos2θcosθ=secθ We know that: sin2θ=2sinθcosθ and cos2θ=2cos2θ-1

Q: Evaluate [si sin 3x cos 5x dx.

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Q: Find L(sin? at)

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Q: Find tan(s+t) given that sins=1/4 with s in Q2, and sin t= -1/2 with t in QIV

A: To find tan(s+t).The formula for find  tan(s+t).

Q: evaluate the integral.

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Q: 2TT TT 2 5 cos o j ê sin@dr ded@=5TTC

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Q: to 5é sin (t-s)ds

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Q: ecos z sin zdz

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Q: Differ entiare Y = \og (coc V; ) Ditterentiare り; x& cos cos"s

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Q: If x=2 sec0 and y.cos0=4 sin . Evaluate where 0 =1 rad. dx? d'y

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Q: Evaluate 3 cos z sin" e dz.

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Q: 5. [ sinxcos^xdx

A: Use necessary identities.

Q: 2. Show that y = ce sin

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Q: The numerical value of sinh(In 3) is equal to Select one: a. False b. True

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Q: If Sin O= 4 and Ces a:S, evaluate withl 13 using to bles Sin o t)

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Q: S sin? xcostxdæ

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Q: Find the root of ( fata Sin(os(e!)

A: To find the root of the equation, we need to put our equation equal to 0. Put F(x)=0

Q: 25 Jr'sin xdx 27 (x'sin xdx 27 29 |x' sin xdx

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Q: Find the following values using your calculate. Round to 2 decimal places. 3. Sin 28 4. Sin 38

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Q: 4 5. "sin? 4y cos? 2y dy

A: Substitute y=u2,dy=du2. ∫0π4sin24ycos22ydy=∫0π212sin22ucos2udu…

Q: 1. Evaluate: sin (x) cos? (x) dx.

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Q: 15. Evaluate | sin° x cos xdx 3

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Q: Show that 7 sin? xdx L? cos? ædr I|

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Q: Using trigonometric substitutions, S xv16 - 16 dx is equal to: - x2

A: Since you have asked multiple question,as per our guidelines we are supposed to answer only one…

Q: a/ sin dxdydz

A: here we have to calculate the ,  I=∫12∫π/2π∫0y2zysinxydxdydz

Q: Evaluate the following (1) S sin3x sin2x dx

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: derivation is required

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Q: 14. xdx + sin? () [ydx – xdy] = 0 %3D

A: