(3) (a) Express cos(3r) in terms of sinx and cosr. (b) Prove that -cosz 1+cosI tan %3D (c) Sketch the graph of y = 1+ sin(r+)

Q: a) By using the graph of function y = cos x, graph the function y =- cos (3x +) x-8

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

Q: 9. 2x + cos x = 0

A: We use intermediate value theorem and rolle theorem to show that the given equation has only one…

Q: 1 lim h-0 2h sin(x²)dx = %3D -2h O cos(1) sin(1)

A: Using Fundamental theorem of calculus: ∫-2h0sin(x2)dx=sin(0)-sin((-2h)2)=0-sin(4h2)=-sin(4h2)

Q: Graph y = 1 - (x²/6), y = (x sin x)/(2 - 2 cos x), and y = 1 together for-2 sxs 2. Comment on the…

A: We use a graphing calculator to graph

Q: 1) Match each function with its gray-Cos Cos x y = Sin x y=-Sin x y =-Cos x Slide correct function…

A:

Q: 15) tan-l –1 --1 V2 17) cos 2 1 19) tan- 1

A: Given: 16)  tan-1-1

Q: @7)) Sketch their graphs 65- y = 2 Sin ( X+T)-1

A: According to guidelines we are authorized to solve only 1 question please repost the 2 nd Graph of…

Q: (b) ſ sin³(x) -dr cos (1)

A: Let's solve given integration.

Q: cos 2x–1 lim COS х— 1 cos x-1

A: limx→0cos 2x-1cosx-1

Q: 1. ) cos (4) COS -π/2 f/² sin (1) sin (²) dx (Consider initially the first 2 terms)

A:

Q: is a root of the equation y2 + ycot x cos x - 1 = 0

A: Here we have to show that, y = sin x is a root of the equation y2 + ycot x cos x - 1 = 0

Q: 1-х 2. cos-1x = tan-1 V1+x

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Q: 7. cos 2x- cos x -2 = 0

A:

Q: f/² sin (1) 4x ; (**) sin (²) COS (²) dx (Consider initially the first 2 terms)

A: ∫vn dv =vn+1n+1+C

Q: The minimum value of cos x + 3 sin x + 5 is: - V10e A 5 - V10- в 5+ V10 D -5 - V10

A:

Q: Graphs of y = sin 0 and y = cos0 over [0,2π].

A: as we know the value of sin 0 is 0  so the given equation becomes y=0 which forms an x- axis only…

Q: If cos(0) 1 and 0 satisfies T < 0 < , find sin(0). 2 - sin(0) = %3D

A: Given: cos θ=-16 &amp; π&lt; θ&lt;3π2 To determine: sin θ

Q: cos x csc3 x + C sin4 x 1.

A: To evaluate the given integral.

Q: How can the graph of y = sin-1 x be obtained from the graph of the restricted sine function?

A: given: y=sin-1x

Q: The derivative of cos (x²) Graph y = -2x sin (x²) for –2 < x < 3. Then, on the same screen, graph…

A: We draw the graph of y=-2x*sin(x^2) using graphing calculator

Q: cos

A:

Q: -1 1- x² 1+x? Differentiate cos with respect to tan -1 2x 1- x2 '

A: Derivative of one function with respect to another function. Using substitutions to find derivative.

Q: Use the graph of y = 2 sin 2x in the figure to obtain the graph of y = 2 csc 2x.

A: The function of the given graph is y=2sin2x. Since, y=sinθ and y=cscθ are reciprocal to each other.…

Q: - y = sin² (-1) y = cos" - y = arctan 0

A: This question is based on general solution of  Trignometric function.

Q: 3 Find sin 2x, cos 2x, and tan 2.x if cos.x = and x terminates in quadrant II. V10 sin 2x %3D

A: given

Q: For y = - 2 sin 4x its amplitude is its period is its horizontal shift is Enter exact values.

A:

Q: 1+cos 4x dx 1-cos 4x Evaluate

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Q: 1. ² sin() cos() sin(x) dx (Consider initially the first 2 terms)

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Q: 3. Find y' for y = cos(sin² x)

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

Q: s nip

A: Consider the provided function, fx=sin2x=1-cos2x2  for 0≤x≤2π Draw the graph of the function using…

Q: Im cos 2x + sin 2x} %3D Cos 4i - 4

A: To find: The imaginary part of -x4icos 2x+x4sin 2x. Concept used: If the complex number is written…

Q: A cable hangs between two poles of equal height and 24 feet apart. Set up a coordinate system where…

A:

Q: cos 4x cos 2.xdx 3.

A:

Q: 15 Find sin 2x, cos 2x, and tan 2x if cosx=- and x terminates in quadrant II. 17 sin 2x cos 2x %3D…

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Q: ( tan( tan3x)dx Evaluate: cos²3x A -In |sec(tan3x)| + C 3 |cos(tan3x)|+C B © --n |sin(tan3x)|+c O…

A: Evaluate: I=∫tantan 3xcos2 3xdx

Q: 17c

A: From part b, it is obtained that the graph is as shown below.

Q: Cos 2x %3D 1-sin 2x

A:

Q: 15. What is the amplitude, period, phase shift and vertical shift of y = sin(40) + 3 A. Amplitude:…

A: Let us first understand the terms. Amplitude is height from center line to peak. Or Distance…

Q: cosh(2æ) – 1 Verify the identity sinh? (x) using the definitions of the hyperbolic functions.

A:

Q: cos (5x)cos (3x) dx cosh' (In x) sinh (In x) (A) (8) - (C) 0 (D) 2 1

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Q: cos e sin 0 for some real value of 0, and let B= -1 Let A = Consider x - sin 0 cos 0 Then ||(AB)x||…

A: Given,            A=cosθsinθ-sinθcosθ , B=0-1-10 , x=12To find : ABx

Q: Cos (GX) = Cos 15°, 0°<x < 360° Со X) = Cos 15°, O° < x < 360° %3D Tan( x ) = tan,05x < 2n )= tan,

A: We can find the answers as below

Q: 2 0 sin 2x dx 3-cos2x

A:

Q: Find the exact simplified value.

A:

Q: Sketch the graph of y = 2 sin x from x = 0 to x = 27 by making a table using multiples of t/2 for x.…

A: Amplitude of the waveform is 2. x y=2sin(x) 0 0 π2 2 π 0 3π2 -2 2π 0

Q: 12. Find the exact simplified function value of tan (2a). 4 where TTSAL 3T 2. Given sin a= -

A:

Q: tan( tan3x) dx Evaluate: cos²3x A - In|sec ( tan3x)|+C 3 B -In|cos( tan3x)|+C В 3 © In|cos(…

A:

Q: 1. Solve cos 2x - 2 sinx - cos*x = -3 on the interval x e [0,21).

A:

Q: 3 Find the maximum and minimum values for f(x) = - 4-(/2 cos x - V2 sin x)

A: Topic = Functions Maximum value of f(x)=1.5 Minimum value of f(x)=0.5