A find period of g- tan 4X | yo 5 Cos 10☆

Q: → find period of 8- @yotan 2 y. 5 cos 1o* 10 yo 11

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Q: Prove the identity. cos (x+y) =1- tanx tany cosx cosy

A: Given L.H.S is cos(x+y)cosx.cosy We know that cos(a+b)=cosa.cosb-sina.sinb substituting the formula…

Q: Give the degree of 0 = tan-(-V3) if it exists. measure %3D

A: topic - inverse trigonometric ratios

Q: Prove the identity. cos(x-y) / cosx cosy = 1+tanx tany

A: To Prove:cosx-ycosxcosy=1+tanxtany

Q: Which of the following is equivalent to secβ(tan2β+1) for all values of β for which secβ(tan2β+1) is…

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Q: 1 sec A-tan Asin A = %3D sec A

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Q: Find tan(u/2) if cosu=0.641 and u is in Quadrant-I. tan(u/2)=

A: Given, cosu=0.641 u is in Quadrant-I. we have to find tanu2

Q: Thus, the graph of f(x) = 4 cos(X) (x, y) = ( ) (smallest x-value) (х, у) %3D ( (x, y) = ( )…

A: We will find the points as shown below

Q: 1. Verify the following identities. sec4 x - tan4 x 2 sec2 x - 1

A: We have given the identity

Q: Show that |cos x - 1| <=|x| for all x-values. (Hint: Consider ƒ(t) = cos t on [0, x4].)

A: Mean value theorem states that

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

A: We will find out the required graph.

Q: 6) What is the period of the function f(x) = 7sin(2x) – cos(5)? Is the function g(x) = 7xsin(2x) –…

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Q: - 4 cos 0-2 sec 0 = 0. %3D

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Q: What is the period of the function f(x) = -4 cos os(5-9)-7? %3D Give an exact value. units

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Q: » find period of 8 ystan 4x @ y.5.cos.so* Cos 10X

A: Given y = tan(4x) Period = π/k where k is coefficient of x Therefore k = 4 Period = π/4

Q: Find all 0 in the interval 0 <0 < 2T satisfying tan(0) = - 0. Give all answers as exact values…

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Q: Prove the identity. cos (x+y) 1- tanx tany cosx cosy

A: We need to prove the following identity cosx+ycosx cosy = 1-tanx tany

Q: Prove the identity. cos (x-y) 1+ tanx tany cosx cosy

A: cos(A-B) = cos(A) Cos(B) +sin(A) sin(B)

Q: Which cosine function has maximum of 2, a minimum of -2, and a period of 277 3 Oy= 3 cos 20 20 Oy=2…

A: Given: The maximum value of cosine function is 2 and minimum value is -2 and the period is 2π3, To…

Q: The period of the function f(x) = 3 cos5 x is 27 A. 2 2n ID

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Q: What is the graph of the function over a​ two-period interval. y= tan 4 (x+(\pi )/(4))

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Q: Find the length of the path over the given interval. (6(0 – sin(0)), 6(1 - cos(0)),

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Q: 2c. Show that * (5 - ) 4 sin z - cos 2r + 3 -8 cos for every r.

A: To prove: 4sinx-cos2x+3 = 8cos4π4-x2 We know that cosx-y  = cosxcosy+sinxsiny and cos2x= 1-2sin2x

Q: 1. prove that tan A sin 2A = 2sin2A %3D

A: Please refer the attached image for complete solution. THANK YOU.

Q: The function f(x)= sec(x) is periodic with period 21 Select one: True O False

A: The interval for which a graph completes its one cycle is called the period of the function.  For…

Q: Show that the period of f(θ)=cos θ is 2π.

A: Consider the function fθ=cos θ Comparing this with the general equation f(x)=A cos (B x - C)+D, we…

Q: 3. Prove the identity : sin(x- y) tanx - tany cosxcosy

A: The given identity is, tanx-tany=sinx-ycosxcosy The identity will be true if the left-hand term will…

Q: 5л Compute the exact value of tan ( + 4 ). 6.

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Q: Q1// prove one only: tan²x-1 tan²x+1 = 1-2cos²x

A: Topic = Trigonometry

Q: Q2/Prove that cos 17° + sin17° = tan62° cos17° - sin17°

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Q: Show that (tan- x)' = cos²(tan¬1 x) and then use Figure 8 to prove that (tan-1 x)' = (x² + 1)-1.…

A: Consider the given figure.

Q: Find the point of intersection of cos(x)=cos^-1(x)

A: We will find the point of intersection using the graph.

Q: Graph the function over a 15) y = 4 + 2 sin(x - 7) one-period interval. %3D

A: Given: y=4+2sinx-π for graph given function, first we simplify it so, y=4+2sinx-π=4+2sin-π+x…

Q: Find the length of the path over the given interval. (5(0 - sin(0)), 5(1 – cos(0)) ), 0 < 0 < 2n

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Q: Prove that cos 17° + sin17° tan62° %3D cos17° – sin17°

A: Devide the whole left side by Cos17° and use formula of tan(a+b)

Q: 5) Period of y= 2 cos x %3D

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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…

Q: The fundamental period of the function f(x) = 6 cos 4x is . %3D Select one: True O False

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Q: 3) Prove that b) tan- (*)} = sechx

A: Evaluate the derivative of the given function as follows. ddxtan-1ex=11+ex2ddxex…

Q: Prove そ Cose tiSina -(1- tan@)

A: We will use trigonometric identities of sub-multiple angles to evaluate. And also, we will multiply…

Q: Prove the identity. cos (x+y) = 1 - tanx tany cosx cosy

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Q: estion 46 of 60 What are all values of x in the interval 0, for hich (tan x)(2 sin x 1) = 0 ? - Pre…

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Q: [((1-tan^2(x))/sec^2(x)]= cos(2x)

A: To prove that  [((1-tan^2(x))/sec^2(x)]= cos(2x)

Q: The fundamental period of the function f(x) = sin 5x is . %3D Select one: True False Nextp

A: The given function is fx=sin 5x. The period of a function of the form sinax+b is given by 2πa. Here,…

Q: nat is the period of y = -3 tan (2 n) +6?

A: Given query is to find the period of the function.

Q: 10. Prove: cos²(x)-sin²(x) =sin² (x) 1-tan²(x)

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Q: Find all solutions to 2 cos(0) = - V3 on the interval 0 < 0 < 2T Give your answers as exact values,…

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Q: () - VE ()- 1+cos 0 1-cos 0 Show that cos and sin (: using de Moivre's Theorem.

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