a) sin(s+t) = b) tan(s+t) = %3D c) s+t is in the second quadrant

Q: The value of | sin(x + y) dx dy is

A: We will use the fact that  sin(x+y)=sinx cosy +cosx siny to evaluate the given integral.

Q: Use the accompanying figure to show that 7/2 sin x dx sin 'x dx. 2 y = sinx 1 y= sin x 1

A: Given: To prove, The given graph is shown below,

Q: Eliminate n from their equations  X= sin n + tan n and y=sin n - tan n

A: With the help of trigonometric identities we eliminate n from the equations.

Q: Solve the DE: tan xsin y y'+(3 tan x-2 cos y) sec x=0

A:

Q: The value of the integral 7 | (27 tan? x – 27 sec²x)dx %D -

A: Given that: ∫57(27tan2x-27sec2x)dx

Q: The appropriate trigonometric substitution for * dx is V3x-x 3 3 X ==+ sin 0 2 2 sec 0 4 2 O Option…

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Q: 45. s 2 2 sin t -

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

A: Assume lncosv = t Differentiate both sides

Q: 1 |+tan¬(x), then x2 dy If y=cot-= dx

A:

Q: 5. Find the values of a and b such that dx tan 1 + sinx a + b . %3D

A: We need to integrate ∫11+sinxdx

Q: 3) If the velocity of a particle moving along a line is given by v(t) = cos = COS 2t), which…

A: We have to find the position expression from the velocity function.         According to our…

Q: tan 0 d 30. dO sec² y dy

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Q: If y=a cos(sinx)+b sin (sin x) then y"+(tan x)y'+cos2x=0

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Q: Half the distance between the maximum and minimum y-values of a sine or cosine wave is known as its…

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Q: The general solution of y 'tanx sin2y = sin?x + sin?y is

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Q: So sin (x²) dx cannot possibly be 2. Show that the value of Lisin

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Q: 44. Use the accompanying figure to show that sin-x dx. sin x dx y = sin y = sin x

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Q: Find sin(2x), cos(2x), and tan(2x) from the given information. sec(x) = 8, x in Quadrant IV sin(2x)…

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Q: Eliminate the parameter: I = sin 3t, y = cos 3t, 0 <t <T/3. = COS

A: x= sin 3t     and y=cos 3t     for    0≤t≤π3 We need to eliminate the parameter i.e. we have to…

Q: Find sin(2x), cos(2x),and tan(2x) from given information. sec (x)=6 , x in Quadrant IV • sin(2x) =…

A: As per the given data we have: sec(x)=6    ⇒    cos(x)=16

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: If ſ x sin x cos x dx = xsin²x + Ax + B sin 2x + C, what is the value of A + B?

A: The given integral is, ∫xsinxcosxdx=12∫x(2sinxcosx)dx=12∫xsin2xdx=12∫xsin2xdx=12I1

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

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Q: If ex = tan 0, then sin e: O 1 - cos e 1 ex

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Q: 9. Express tan 0 in terms of sec 0 for 0 in Quadrant II.

A: We know that, sec2θ=1+tan2θ So sec2θ=1+tan2θtan2θ=sec2θ-1tanθ=±sec2θ-1 But given that θ lie in…

Q: Find sin(2x), cos(2x), and tan(2x) from the given information. sec(x) = 8, x in Quadrant IV sin(2x)…

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Q: 4 cos ' (sin (ax t)

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Q: 1- Calculate the value of y if: a- y= sin (0.25) + sinh (2).

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Q: 19. TT/2 -π/2 sin 0 de 20. * sec² 0 de

A: 19 ∫-π/2π/2 sinθdθ [-cosθ ]-π/2π/2 0 - 0 =0 other way sin is odd function so also integration is = 0…

Q: tanla= 2 with 3T LaL2p 3 2 and Sin lb) = 3 with IT L6LT 2. %3D

A: Solution:-  tana=-23   with 3π2&lt;a&lt;2π (fourth quadrant) sinb=34 with    π2&lt;b&lt;π   (second…

Q: 5- ft2 cost dt n/2 6- sin? 20 cos 20 de

A:

Q: 1. S sin sin de

A: ∫sinx5sinx2dx Use the identitysinAsinB=12(cos(A-B)-cos(A+B))…

Q: We wish to compute sin° x cos“x dx,

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Q: A particle is moving in space with position function R(t) = (cos(4t), sin(4t),5 – 3t) Determine the…

A: We will use concept of arc length in 3d We want to determine the length of a vector function,…

Q: 2. Show that y = ce sin

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Q: 5. Evaluate 1. , sin(x?) dx

A: #1 intregal

Q: dy is: If y = tan(47x²) then dx

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Q: Show that: cos hz = cos hx cos y + i sin hx sin y.

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Q: If y=(1+x²) tan-x - x then y' is equal to

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Q: 1) B = cos 30 + sin² 0 tan 2x 2) y = 1-cot 2x 3) w = 2 csc(1 – 3x)

A: This question is taken from the derivative in which we have to find the derivative of the given…

Q: If x is measured in degrees and f(x) = cosx, then d f(x) = − sinx

A: To write that it is true or not.

Q: Is this: sin x cos y- cos x sin y/ cos x sin y reciprocal quotient pythagoreom  algebra

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Q: Cos x [SND] If y = tan x+ seç show that, y = (1 – sin æ)?

A: Topic  =trigonometry

Q: ´ tan²2x dx, a = tan" (2)

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Q: a) y=In(*). x tane 4 cos x y = 3x + sinx b)

A: Given: The functions are, a) y = ln ( x tan ex )

Q: (11). - cos?(2y) sin? (x), y(등) =0 Workings y= tan '(z - 글sin 2v) +

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Q: 1-Show that a +B sina – sinß = 2cos(- 2 a -B

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

Q: Determine the period as requested. 5) Feriod of y 5 sin 4x A) 4 C)2 -1/2

A: In this question, we want to find the period of the given function.