3 Use shifting graph to sketch a) y = b) y = -1+ sin (2x)

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A: Given,  The equation, r = 3 sin(θ)

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A: We have to give an example of a value of z such that the equation sinx=z is unsolvable.

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Q: Determine the amplitude of y = 1/2 sin x. Then graph y = sin x and y = 1/2sin x for 0 ≤ x ≤ 2p.

A: Given y=12sinx

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Q: the graphs of y= sinx and y=cosx differ by a horizontal shift of _____?

A: The graph of y=sinx and y=cosx is shown below:

Q: express sin(x+y+z) in terms of cosine and sines of x, y and z

A: Answer and explanation is given below..

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Q: Sketch exactly two full periods of y=-3/2 sin (x/2- pi/4). Indicate all the key points on the x-axis…

A: Given: y=-32 sin x2-π4 To sketch for two full periods.

Q: If y = tan−1 x, then y can terminate in quadrant ____ or ____.

A: As we know that Range of tan−1 x is from −π/2 to π/2

Q: 3. (6れ)-) ANCTAN X (x+1) ² -y=ARCTAN

A: To expand the given function :

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A: Consider the given integration ∫tan6x3sec4x3dx

Q: *Sketch : 3 sin (x-Tt/4) +2 إضافة ملف

A: y=3sin(x-π4)+2

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Q: Let tan (0) = 3 with 0 in QI. Find sec (20). 10 sec (20) =

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Q: How do you graph sin(x) with a horizontal or vertical stretch, such as 2sin(4(pi/2))?

A: To draw the graph of transforms of y= sin(x)

Q: 9. Express tan 0 in terms of sec 0 for 0 in Quadrant II.

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Q: 14. What is the mathematical relationship between sine and cosecant, cosine and secant, and tangent…

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A: Note the trigonometric identities :

Q: A. arcsin %3D В. arccos %3D C. tan-1 (–1) = D. sin-1 %3D = (}-)- E. cos-1

A: A. arcsin32: arcsin32=sin-132sin-132=sin-1sinπ3sin-132=π3 B. arccos-32:…

Q: Prove that cosine has the Direct Substitution Property.

A: We will follows the strategy of the previous exercise. its given to us that…

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Q: Let (5, -V11) be a point on the terminal side of 0. Find the exact values of sin 0, sec 0, and tan…

A: NOTE: Refresh your page if you can't see any equations. . the given point is find the radius

Q: Transform r = 12 sin 0 into rectangular form.

A: Given r= 12 sinθ

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A: It is given that, Terminal side intersect unit circle at 513, y in 4th quadrant. Let, the angle made…

Q: Points of intersection Find the points of intersection of the circle r = 3 cos θ and the cardioid r…

A: Given:        r=3cosθ,   r=1+cosθ

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Q: (3) (a) Express cos(3r) in terms of sinx and cosr. (b) Prove that -cosz 1+cosI tan %3D (c) Sketch…

A: (3)  (a)  express cos(3x) in terms of cosx and sin x.       (b)  prove that 1-cos x1+cos x=tan2 x2…

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A: Given: To explain the given statement as follows, To convert  in the rectangular form.

Q: 10. y = arcsin 11. y = csc-1I

A:

Q: Find the equation of the line passing through the point (30,0) that makes an angle of 33° with the…

A: Solution: The objective is to find the equation of a line

Q: Evaluate y' of y = tan-'(cosx).

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Q: { 0, 1, sin’t, cos t, cos 2t } COS a cubcnnco? Juctifu vour

A: This is a question of linear algebra and vector space.

Q: tan²x dx, can be evaluated by using trigonometric transformation . A True False

A: The given integral is: I=∫sec5xtan2xdx Use the derivarive: ddx(secx)=tan2x

Q: Use Figure 7 to prove that (cos- x)': V1 x2 1 V1-x y FIGURE 7 Right triangle with y = cos- x. %3D

A: y=cos-1x⇒x=cosy

Q: Determine the amplitude of y = 3 sin x. Then graph y = sin x and y = 3 sin x for 0 ≤ x ≤ 2π.

A: Given, y=3sinx             ...(1)

Q: 9. Use the Residues Theorem to calculate 1+ sin² ª -de. Sketch the contour you used.

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Q: Sketch : 3 sin (x-Tt/4) +2

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Q: 8) Find the vertical translation of y = -2 +2 sin 3x +

A: Given function: y=-2+2sin3x+π6

Q: If y = cos*[sec²(30)], and (0 = -) %3D %3D y will be equal to?

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Q: 23. Find the length of the perpendicular from the origin to the line joining two points whose…

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Q: Determine the amplitude of y = - 1/2 sin x. Then graph y = sin x and y = - 1/2sin x for -π ≤ x ≤ 3π.

A: We have to graph the following functions y=sin x y=-12sin x   We have to find the amplitude of…

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.