What is the period of G(x) = 5 sin(3x - 3pi)? 2pi 2pi/3 2pi/5

Q: State the half-angle identities used to integrate sin2 x and cos2 x.

A: Given, The functions are sin2 x and cos2 x

Q: The solution to the equation sin2x sin( – x) in the interval [0,2 1) includes

A:

Q: 1- Determine. 4. Cos 'x sinX dx

A: Given:                     ∫cos4(x) sin(x) dx     Solution:                    Integrating the given…

Q: cos 4x 2 dx sin4x 5.

A:

Q: 11. cos4x-cos2 dx sin4x-cos2x

A:

Q: The suitable substitution to evaluate sin24(x + 2) dx is

A: Proceed as shown below...

Q: The period of y = 4 sin 2x is______ , so the x-values for the five key points are x1 =_______ , x2…

A: Known facts: For the function y=AsinBx+C+D,                 1.  Amplitude is A                 2.…

Q: What is the simplified form of cos10x - cos4x / sin10x + sin 4x

A: Using CosA-CosB and SinA+SinB formula

Q: (1+cos3x)² -dx sin23x

A:

Q: Find the period and amplitude of the function. 2n y=-4 sin x- 3 Give the exact values, not decimal…

A: If y=AsinBx is a function then its amplitude is A and its period is 2πB.   The given function is…

Q: How would you graph one period of f(x)=cos3(x+ π) on paper?

A: We will find out the required graph.

Q: The solution to the equation sin 2x = – sin(-x) in the interval (0, 2x) includes %3D

A: Use sin2x=2sinxcosx and sin(-x) =-sinx

Q: luating√√9-x² dx using trigonometric substitution will lead to: **/2 sin²0d0 3 of th 9[*/ cos²0de…

A:

Q: Evaluate ∫sin2 x cos4 x dx.

A:

Q: e of sec(tan-1 square

A: We know,      tan-1(3)=π3    sec(π3)=2

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: = 4 cos 3x – 3 sin 4x

A:

Q: 1. [(10 cos2x - 5 csc2x +4 tan2x + 8 sin2x)dx

A: Integration properties help to find the integration of the given function. Integration property for…

Q: Find ∫sin3 x cos4 x dx.

A:

Q: Use an identity to solve the equation sin 3x cos 2x + cos 3x sin 2x = 1 on the interval [0, 2π).

A: From the given data:

Q: Find an equivalent expression for sin 4x in terms of function values x sin 4x =

A: power series of f(x) about x =a is  f(x) = ∑h=0∞ fn(a)n! (x-a)n ------- (*)

Q: (cos2x+sin2x)+1=2  ?

A: According to the given question, cos2x+sin2x+1=2 we have to prove L.H.S=R.H.Swe take L.H.S

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

A:

Q: What are the amplitude and period of y = - 4 cos(πx)?

A: The amplitude is the vertical distance between the axis of the function and the maximum or minimum…

Q: Show that the equation has exactly one real root. 2x + cos(x) = 0 %3D

A: Our Aim is to show that the equation 2x+cos (x)=0 has exactly onereal root.

Q: The simplified form of [csc(-x) + cos(-x)] · [9 sin² æ sec? æ]

A: The simplified form of [csc(-x) + cos(-x)] [9 sin²x sec² x]

Q: Evaluate 2 sin² x cos³ x dx 0,

A: Given that: ∫0π2sin2x.cos3xdx

Q: If f(x) = sin(2x) + sin(4x) + sin(6x), determine the fundamental period. %3D

A:

Q: Use a graph to show that the equation cos x = 0.3x has three solutions and find their values correct…

A: Given equation is cosx=0.3x.

Q: sin2x+cos2 for x = 55 degrees.

A: Apply trigonometric identity cosA=sinπ2-A to rewrite the expression. sin2x+cos2x=sin2x+sinπ2-2x…

Q: Find a value of x that satisfies the equation sin (-11°) = cos (x). %3D Submit

A: We have to find x

Q: Find all radian solutions using exact values only.     2 cos2 x - sin x = 1

A: Find all radian solutions using exact values only.     2 cos2 x - sin x = 1

Q: Find sin 2x, cos 2x, and tan2x if tanx=2 and x terminates in quadrant I.

A:

Q: What is the period of the function y = 2 sin x + cos 2x?

A: Given function, y = 2 sin x + cos 2x

Q: Find a value of x that satisfies the equation sin (-84°) = cos (x). %3D

A: To find: The value of x. Given: The equation sin-84°=cos x. Concept used: sin-θ=-sin θ sin3π2-x=-cos…

Q: What is the period of f(x) = sin(3Ħx – 4) + 2? %3D

A: For a given function: Time period (T) =        2(PI)     _        w(omega) Whereas addition of DC…

Q: Find all solutions of the equation in the interval [0, 2n). sin0+ sin20 = 0

A: Given equationsinθ+sin2θ=0we need to find the all solution in the interval [0,2π)

Q: Find S(-sin³0 – sin@cos20)d0

A: This can be solved as follows:

Q: Prove that csc2A tan(2A) = 2cosA/cos(2A)sinA

A:

Q: cos(1339x) cos(1337x)+ sin(1337x) sin(1339x) =?

A:

Q: Find the exact value of sin-1 (-√2/ 2).

A:

Q: Find all exact radian solutions over interval [0,2x): 2 sin 4

A:

Q: The solution to the equation sin 2x sin(-x) in the interval (0, 2n) includes

A:

Q: . Evaluate cos 3x sin² 3x dx

A:

Q: if sinx=1/8 and x is in quadrent 1, then cos(180-x)=???

A: Simplify cos(180-x),

Q: Show that the equation has exactly one real root. 8x + cos(x) = 0 %3D

A:

Q: Find sin 2 x, cos 2x, and tan 2xfrom the given information. sinx=8/17, x in QII

A: We have given the value of the  trigonometric ratios of sinx  Sin(x) = 8/17

Q: State the period length of the function f(x) = -4 sin (27x).

A:

Q: Find sin 0 and tan 0 if the terminal side of 0 lies along the line y = -7x in QII. sin 0 = tan 0:

A: Given that terminal side of ϑ lies along the line y = -7x. Note that the slope of the line y = -7x…

Q: Use the Substitution Rule to prove that∫sin2ax dx =(x/2) -(sin(2ax)/4a )+ C

A: Given:∫ sin2 ax dx