Find sin(v3t) dt (b) L-* [tan-" ) (a) L

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A: Given,          sin(x)=x2-1

Q: Show that 0=30° is a solution to (sin 0)sine 4. 1 5/-

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Q: (b) Prove that : - 1) (coshx)2 – (sinhx)2 = 1 ,2) coshx- sinhx = e-*, 3) (cothx)? -1= (cschx)?

A: Given that  The following

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Q: What will be the neutralizing factor of 7sin(4x +sin(2x)dx when it is first evaluated using product…

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Q: How do I solve sin(t)−cos(2t)=0

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Q: Show use of variable substitution to factor and solve over (0,2pi) when necessary. 4. 6sin2 θ -…

A: →Let sinθ = x and solve the quadratic equation.→We will get two factor after factorization.→Use…

Q: 2 (tan²x + 1)√sin2x.dx= (tan², 0

A: Find your answer below

Q: | sin(4z) cos(7z) dz.

A: To find:∫sin4zcos7zdz

Q: Q#2 (a): Find root of the equation 3x + sinx – e* = 0 by secant method correct to six decimal Places…

A: # we are entitled to solve 1 question at a time ,please resubmit the other question if you wish to…

Q: 5. show that the equaution sin X-3x+1=0 has only one real root

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Q: EX-15- Prove that : a) Sec-'x= Cos- ! b) Sin-' (-x)=-Sin-'x

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Q: 7 Express cach of the followir giving only principal values: (a) sin (2 – i)

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Q: 5. Find y', if y = 2cosx sin2x – sinx cos2x %3D

A: NOTE:according to company rules I need to solve first question when multiple questions are posted

Q: 5. Find y', if y 2cosx sin2x – sinx cos2x %3D

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Q: (3.2 cos 2x+2 -dx. 1.8 1+ In x Use NINT on the calculator to evaluate:

A: We have to evaluate ∫1.83.2 cos 2x + 21 + ln x dx.

Q: Solve the equation sin 3x + sin x + cos x = 0 on the interval [0, 2π). Do not use a calculator.

A: Given: sin3x+sinx+cosx=0, x∈[0,2π) we know that sin3θ=3sinθ-4sin3θ

Q: /2 Evaluate sin 20 de sin20 x+ cos x 20

A:

Q: 4 Find sin 2x, cos 2x, and tan 2x if sin x = and x terminates in quadrant II. 5 sin 2x = S ? cos 2x…

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Q: Compute sin(sin-(2/3)) O 2/3 This quantity does not exist.

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Q: 2. Use the Intermediate Value Theorem to show that the equation sinx = x – 1 has at least one real…

A: In the question it is asked to calculate real solution of equation sinx = x-1. Also, it is asked to…

Q: Find sin 2x, cos 2x, and tan2.x if sinx= -- 3 and x terminates in quadrant IV. V13 sin 2x cos 2x tan…

A:

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: Solve for the value(s) of x over the interval 0 < x< 360 sin(2) = - V3

A: values=?

Q: 5. Solve for the values of sin2x, cos2x and tan2x when tanx = 1, on 0 ≤ x ≤

A: Given that,    tanx=12, on 0≤x≤π2

Q: sin $3xcos 3x dx

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Q: 12 tan (4.x) sec (4x) dx S cos(11x) sin(2r) dx COS

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Q: ind sin2x, cos 2x, and tan 2.x if tanx = -2 and x terminates in guadrant II. %3D sin 2x ? cos 2x tan…

A: In second quadrant sin is positive and cos &amp; tan are negative.

Q: What substitution should be used to solve the integral O sinu=3x/2 O sec u =2x/3 O sec u =3x/2 O tan…

A:

Q: Differentiate  x sin−1(x)  with respect to sin−1x.

A: Using derivative of one function w r to another function.

Q: Find the x-coordinates of the points of inflection of k(@) = sin (e) on the interval 2 Use exact…

A: h(θ) = sin2(θ)  [ -π/2, π ]

Q: 13T (b) sin-(sin(- -)) = %3D 11

A:

Q: S sin x In(1 + sin x) dx

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Q: Determine solutions to sin 2x =, x € [0, 2x) %3D accurate to 2 decimal places.

A:

Q: Find sin 2x, cos 2x, and tan 2x if tanx 2 and x terminates in quadrant I. sin 2x cos 2.x !! tan 2.x

A: Given, tan x = 2 x terminates in quadrant in I We have to find the value of sin2x, cos2x and tan2x

Q: 2. If sin x cos x + sin 2x =1 what are the values of x

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Q: cos(2x) dx 2 (sin(2x)+5)*

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Q: ating / * sin (2x)cos(2x) dr by substitution, if u= sin(2x) th

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Q: Find sin2x, cos 2x, and tan 2x if tanx= and X terminates in quadrant II. sin 2x cos 2x tan 2x 2/3

A: As per given  We have to determine sin2x, cos 2x, tan2x

Q: = 2. If y = sin³ (-) cos³ (1) prove that y' = sin² (x) cos(x)

A: Topic = Derivative

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Q: Solve y' = y3 cos x (Show clear work!)

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Q: 1) Use the false position method to find a root of the equation x³ = -cos x in the interval [-1, 1]…

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Q: Find a root of  x- sin(x) - (1/2)= 0 correct to four decimal places by Secant Method

A: The given function is: x-sinx-12=0 Let, fx=x-sinx-12 Here, f0=-0.5f1=-0.3415f2=0.5907

Q: . Evaluate S sin' 2x cos 2x dx

A:

Q: How many solutions on the interval [0, 2020 does the equation sin 2x +1 = sin x + cos x have?

A: sin(2x)=2sin(x)cos(x).

Q: Find all exact solutions on [0, 2n). tan(x) – 2 sin(x) tan(x) = 0

A: tan(x)-2sin(x)tan(x)=0tan(x)1-2sin(x)=0case-1tan(x)=0x=nπin the interval…

Q: Find all solutions of the equation in the interval 0, 2n). tan 0 3 %3D

A: Given:              tanθ=23   ,  θ∈[ 0 , 2π )

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.