y = 4 sin? x +5 cos² x y = sin* 3x – cos* 3x y = csc* x – 21 cot² x y = cot sin

Q: sin 0 + In + 22+3 = -3 - cos 20 - In y? + 327-4 = + 2ln y+ 22 -3 1+ (cot 0)2

A: Given system is sinθ+ln1y+2z+3=-3 lny2+32z-4=1-cos2θ2 21+cotθ2+2lny+2z=-3

Q: y'tan x sin 2y = sin² x + cos² y.

A: We need to solve y' tanx sin2y=sin2x+cos2y This can be written as: y' tanx…

Q: 6(cos² x – 1) x – 1) sin x cos a – sin z O 6 tanx + 6 sec z O 6 cot x+ 6 sec x O 6 tanx + 6 csc z O…

A:

Q: c) cos x tan x = sin x tanx %3D (Usx.SinzL (os x Sinc sinx cot x + = csc x - CSC X 1+cos x (e Sinzx…

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Q: 4. cos*x Evaluate: sin' x( sin' 3/5 x+ cos³ x 3.

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Q: 3 sin x + 4 cos x +5**

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Q: 1. y = 3 sin x – 4 cos x 2. y = x³ tan x 3. f(x) = cos x 1+sinx 4. y = csc x cot x f(x) cin?

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Q: 2) sin- 0 4) cos 6) cos-1 | V3 8) tan 3 -1 -1 10) cos

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Q: cos²x 6. 1+ sin x = 1- sinx tanx - сotx 7. sec'x - csc?x = sin xcosx 8.1 tin cos2x = cscx - secx…

A: We have to verify that the given trigonometric identity.

Q: he interval [0,2r) cos (x) sin (x) = 2 cos (x)

A:

Q: Integrate sin 4x cos 5x + cos 4x sin 5x

A: SinAcosB+cosAsinB=sin(A+B)

Q: b) (cosx+ Sinx)² - Cos x+sinx)(cosx-Sinac) tan 2x 2. c) 1-Cos-x - Sin2oc) Sin X - 2cos x

A:

Q: (1) y = sinx+1 (2) y = sin 2x (3) y = |cos x (4) y = cosx %3D (5) y = cos x

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Q: cos 2x + 2 sin 2 x = _______

A: This question can be solved by applying the formula of cos2x cos2x=cos2x-sin2x

Q: Evaluate the integrals in Exercises

A: Hello. Since your question has multiple parts, we will solve first question for you. If you want…

Q: y= sin(x + 4) cos (x - 4) y= sec 4x + tan 4x y= Arctan

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: 1 1+ cos x 9. 1- cos x || sin? |

A: We can verify the statement as below.

Q: sin*[In()ax x{cos[

A: Given : ∫ sin3ln72x4dxxcosln72x4-1 Let us take  u= ln72x4⇒dudx= -4x⇒dx=-x4du Therefore, ∫…

Q: sin 2x 4. tan x = %3D 1+cos 2x 19 5. tan %3D = CSC X - cot x

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Q: y (3, 4) sin(0) = %3D cos(0) = tan(0) = csc(0): sec(0) : cot(0) = %3!

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Q: 1+sin x/cos x + cos x/1 + sin x = 2 sec x

A: Given:1+sinxcosx+cosx1+sinx=2secx

Q: 3 3 | sin sin x cos xdx 5

A: It is integration problem.

Q: cosx y = x 2 (sin -1 x) 3 y=ー cos X 6. 5.

A:

Q: Find the limits in Exercises 36-40  Are the functions continuous at the point being approached?

A: We’ll answer the first three questions since we answer only one question at a time. Please submit a…

Q: 8 sin x cos x sec x =

A:

Q: 1+ sin 0 . Verify cos O 2 sec e Cos A 1+ sin A

A: Our Aim is to verify 1+sin θcos θ+cos θ1+sin θ=2 sec θ -(i)

Q: 9(cos x – 1) sin z cos a – sin a O 9 tan + 9 seca O 9 cotx + 9 csc x O 9 tan + 9 csc z O 9 sin x + 9…

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Q: sin(5x) dx 2+сos(5x) اخترأحد الخيارات х + tan(5x) + с.ао —In | 2 + сos(5ӕ) | +с.Ь 1 +c.c 2+сos(5ӕ)…

A: Since , in the given integration problem we have derivative of denominator in numerator so we will…

Q: 4. (cos? 6x + sin 6x – sin³ 6x)Zdx (Hint:factor out sin 6x first) 3 -

A: We need to evaluate ∫cos26x+sin6x-sin36x12dx Using the identity  cos2y+sin2y=1⇒cos2y=1-sin2y…

Q: 6(cos² x – 1) sin a cos z – sin z O 6 cot x + 6 sec x O 6 tanz + 6 csc x O 6 sin z + 6 cos a O 6 tan…

A:

Q: Second-order derivatives Find y″ for the following functions.

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

Q: 4sin'x – 1 1. 2sinx + 1 = 2sinx – 1 sin'x – 2sinx + 1 2. = sinx – 1 sinx – 1 3. ( sinx - cos x)(sinx…

A: Simply use the basic concepts of algebra and simplify the each one.

Q: šx<2a . dation where 1 1. sin x = 2 2. 3tanx-1=0 3. 2cosx=cosx

A: We will find the values.

Q: 2 – 2 cos 2x sin x sin x cos x sin 2r 1- sin r 1+ sin x

A: Trigonometric ratios

Q: sin x dy (2y Cosx + sin4 x) ax

A:

Q: sin 0 + In + 22+3 = -3 1- cos 20 In y? + 322 - 4 = + 2ln y + 22 =-3 1+ (cot 0)2

A: Given system is  sinθ+ln1y+2z+3=-3 lny2+32z-4=1-cos2θ2 21+cotθ2+2lny+2z=-3

Q: sec x-1 sin x %3D secx+1 1+cos x

A:

Q: Compute (sin (x)) dx cos'x 3 sin' x cos x O Not listed here 3 sin? x 3 sin x cos x

A: Given query is to find the derivative of the expression.

Q: sin x+cos X 4 Jo 9+16sin 2x

A: I = ∫0π4sinx+cosx9+16sin2xdx ⇒I = -∫0π4sinx+cosx-9+16-2sinxcosxdx ⇒I =…

Q: 6(cos² x – 1) sin a cos x – sin x O 6 sin æ + 6 cos e O 6 tan x + 6 sec x O 6 tanx +6 csc x O 6 cot…

A: We need to simplify the following expression 6cos2x-1sinxcosx-sinx

Q: 1+sin x+cosx 1+cos x (b) 1+sinx-cos X sin x

A:

Q: (1+siny)[1+sin(-y)]=cos2y

A: Given:

Q: z1 = 30 (cos 20° +i sin 20°) and z2 = 6 (cos 5° + i sin 5") %3D %3D ( cos +i sin %3D

A:

Q: Evaluate (sin² (sin² x cos x)(1+ sin z cos x) dx.

A: Use substitution method

Q: 2 sin2x – 3 = 3 cos x and 90° < x < 270°

A: Hello , thanks for your question as it is not clear mentioned that it is Sin2 x or sin 2x So we are…

Q: 1+sin A cos 2 sec u – cos µ = sin µ tan µ 4. + 2 sec 1 %3D cos A 1+sin A

A: We have to verify the given identities.

Q: 3.Sinx sec a +2 Sinto Sinx(Secxt2)=0 sinx=D0 भा 2TT Seci=-ス 4Sin3x -sinx CoS X → Sinx(Sin?x -=Sin?x.…

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Q: sin 2 2) = (9z + 4), h(3) (2) (1) = sin(cos r), f"(1) %3D

A: