Find the smallest positive period of the following functions 1) cos(x) Ans. 27 2) sin(x) Ans. 2n

Q: Find the exact values of the following, if they exist. a. cos-1 V2 C. arccos (cos T) b. cos (cos-(-)…

A: (a) cos-122 = cos-112 Let y = cos-112cos y = 12cos y = cos π4y = π4 Hence cos-122 = π4

Q: 3. Which of the following is the equation of a sine function having amplitude of 3 and the period is…

A: Hi There,  As per bartleby rules, we are supposed to do only one question at a time.  Kindly repost…

Q: Q1)a) Is the sigmal below periodic if periodic find its fundamental period g(1) = 3 sint+ cos + 2…

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Q: 4-If y= cos 8t , find the frequency (w) and the fundamental period(T.) 5-If: y = (sinx+1) (cosx+1)'…

A: We know that, The fundamental period(T0) of cos(x) = 2.pi                            if cos(ax) = (…

Q: 5. The period of the function f(x) = 3 cos 5x is 13 2 3

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Q: b)Estimate the value of cos 0, at 0 = 5°with the help of the following table 0: 0° 10° 200 30° 40°…

A: If θ be an angle in a right-angled triangle, then the sine of the angle or sinθ is defined as the…

Q: 4 cos x -dx 1+ cos x

A: Our Aim is to evaluate the integral given below:-∫cos4 (x)1+cos (x) dx -(i)

Q: sin-"(ry) = cos-'(x – y)

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Q: Find all values of x in the interval [0, 27) that solve sin r cot r – sinr = 0.

A: Find the all value of x for given interval

Q: Which of the following is the function rule for the graph of the sin function from 0 to 2 T if the…

A: Explained below

Q: 3. Find the period and amplitude of: y = 4 + +cos (x)

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Q: At what value(s) of x does cos x = 2x?

A: To determine the intersection value of x where x = 2x.Here the first curve is y = cosx and the…

Q: Compute the following using a calculator: cos(178°). Round your answer to two decimal places.

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Q: From the formula for cos (t + t) find cos (2t) in terms of sin t.

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Q: The modified EuleriMethad Use to solue Sined y at x= 0.1 h=o.02

A: Given differential equation is y'=x+y, y(0)=1. To find the value of the solution at x=0.1 using…

Q: 1. True or False: (a)_ y = sin x has a period of 2x (b) sin x + cos x = 1 27 (c). 107 5

A: Solution: The objective is to determine whether the given equations are true or false

Q: Find the exact Valve Sin (a-B); Sin a = for Cos B= 12 for B in Quadrant IV a m Quacront II and 73

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Q: The turning moment T on the crankshaft of an engine is given by T= 6+2.5 sin 20– 3.8 cos 20 Find the…

A: Explained below

Q: Find the exact value of each of the remaining trigonometric functions of 0. V3 given that cos 0<0…

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Q: 3. Find the period and amplitude of: y = 4 +cos (*) COS

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Q: 8. Which of the following functions has the longest period? y = 6 sin(3x) + 20 y = 8 cos(2x)-4 a. b.…

A: Please comment if you need any clarification. If you find my answer useful please put  thumbs up.…

Q: Find L[te* cos 21].

A: According to the given information it is required to calculate the Laplace of the given function.

Q: TT TT Solve the following: cos (x +-) – cos(x – –) = 1 for 0 < x < 2n.

A: Given that: cos(x+π6)-cos(x-π6)=1                         0≤x≤2π

Q: Eliminate the pavameter from. the follawing. X()= cos (2f) Sint

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Q: The amplitude of y = 1/2 cos 3x is _______ and the period is ________

A: Given,           y=12cos3xWe know that,          For a function y=acosbx+c+d           Amplitude,A=a…

Q: If sin A=1/√10 with A in QII find cos 2A.

A:

Q: The amplitude A and period T of f(x) = 5 sin(4x) are_____ and________

A: Consider the given function. fx=5sin4x The general form of the function is defined as. fx=AsinBx+C+D…

Q: What is the period of the following function y = 4 cos(2x) – 1

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Q: For what values of x in [0, 27| does the graph of y = cos have a horizontal tangent? List the…

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Q: The amplitude of y = 3 sin 1/2 x is ______ and the period is _________

A: We have to find amplitude and period of the function: y=3 sin12x We know that if we have function…

Q: 4. Evaluate the following in terms of Gamma function sin (4r) cos (2r)dr

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Q: Question 4 in picture

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Q: find the exact value cos151ocos1o + sin151osin1o

A: We have to use cosAcosB+sinAsinB= cos(A-B)With A=151 and B=1

Q: Refer to the graph of y = sin x or y = cos x to find the exact values of x in the interval [0, 4p]…

A: Consider the given equation as cosx=-12

Q: At what value(s) of x does cos x = -x?

A: Given,

Q: c. Find approximation of the value cos(65") with error less than 5 x 10-5.

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Q: What is the coterminal of -17T/3 rad in standard measure (Oses2n)? * 1 p T/3 rad 21/3 rad 4T/3 rad…

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Q: 4. Use Gamma function to evaluate the integral: sin? (40) cos (20)d0.

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Q: -4 sin(0) – 4 = -2/3 – 4

A: We use Trigonometry table to solve this Question

Q: Find the smallest number x such that cos(e^x + 1) = 0

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Q: 51. Compute x² _ and then using the identity dx in two ways and verify that the answers agree: first…

A: Assume the given integral be I. I can be integrated via trigonometric substitution by substituting…

Q: 513 Find for the function y = cos² 3X + √Sin x

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Q: 10. Which of the following functions has the longest period? y = 6 sin(3x) + 20 y = 7 cos(x) + 13 а.…

A: The function f(x) is period  function of period T if f(x+T)=f(x) The period of the constant function…

Q: Q: How many intersection points between the following curves 1+ cos(0) and 1- cos(0)?

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Q: 1) Find the fundamental period of the functionu +v, if any, by examining whether the functions u (t)…

A: All trigonometric functions are periodic. To find if ut=sin2t is periodic: Express it in terms of…

Q: At what value(s) of x does cos x = 9x? X=

A: Cos x= 9x To find the value of x

Q: 4. Find an arc distance t, between 0 and 2 (0 ≤ t ≤ 2π) such that sint = sin (117).

A: The given curve is sint=sin11π6 between 0 and 2π

Q: Photo attached

A: Given: