Match the function with its graph. 1) y = 2 + sin x 2) y = 2 + cos x 3) y = -2 + sin x 4) y = -2 + cos x A) B) C) D)

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

A:

Q: 10. Since (7,-1) is a point on f (x) cos z,which point will be found onf'(x) = cosx ? %3D O a (1,ח)…

A:

Q: The expression sin(3z) cos (2z)- cos (3) sin (2z) is equal to cos (5z) sin z cos z O sin (5z)

A: Trigonometry Addition Formulas The following are the trigonometric addition identity formulas for…

Q: Express the function as a 11) trigonometric function of x. Must show ALL wor Cos 4x

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Q: 2) If y = cos x, what is y (®(x)?

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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: Assume that sin u = 3/5 and sin v = 4/5. Find cos (u - v). I need all work.

A: Given:

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

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

Q: (a) Buktikan, Prove that, (sin x + cos x)* = sin" 2x + 2 sin 2x + 1. %3D

A: Since you have asked multiple questions in a single request so we will be answering only first…

Q: B. If sin u = tan u < 0, find : 1. sin u/2 2. cos u/2 3. tan u/2

A: Given that, sinu=tanu&lt;0

Q: 9. Find the other trigonometric functions of 0 of sec 0 3 and 0 does not terminate

A:

Q: By using Cauchy laws find: sin (2) dz -i2 cos (2) dz 2-T3

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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: (2) Find the exact value of the following: (i) cos-(-) (ii) tan-V3 (ii) 2tan-1+ tan-1, (iv) sec…

A: (i) cos-1(-1/2) = 2π/3 (ii)tan-1(√3) = π/3

Q: the action of a spring can be modeled by the function y=4 cos x- cos x sin x after x seconds  Within…

A: To find the height at which spring has height of 3 feet

Q: (3.2 cos 2x+2 -dx. 1.8 1+ In x Use NINT on the calculator to evaluate:

A: We have to evaluate ∫1.83.2 cos 2x + 21 + ln x dx.

Q: E prove that - Cotx + C %3D 2 |- Cos?x +Sinx

A:

Q: 8. Show that cos a – cos y| < |x – y| for all æ and y.

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Q: 2) Verify that the equation is an Identity. tan 0 = sin 0 %3D sec 0

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Q: 2. * 1 Add File 3. * 1 y = tan x + =tan³x 3 4. * y = = cos x 1 Add File y 1 cos³x 3 1 cosx

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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: -V3 sin x = 2.

A: Topic- trigonometry

Q: 1. Differentiate the following with respect to the variable given. 1 cosx 2 sin x tan 2. Given the…

A: We can solve the given problem as follows:

Q: 2) Verify that the equation is an Identity tan 0 %3D sin 0 sec 0 %3D %3D

A: We know that secx is the inverse of cosx and tanx=sinxcosx the objective is to prove the…

Q: Express f (0) = cos 20 + 4(sin 20)² + 1 as a sum of powers of sin 0.

A:

Q: Find the length of the path over the given interval. (sin θ − θ cos θ , cos θ + θ sin θ ), 0 ≤ θ ≤ 2

A: Given (sinθ-cosθ,cosθ+sinθ)    0≤θ≤2

Q: 1 200 -1 1 What is the value of the -coordinate of point A?

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Q: 7. B- Show that: (1) lime-0 tan 8 (2) tan 0 sec20 =D1 %3D do

A: Solve

Q: (i) Prove that sec 3x(sin 3x-2sin' 3x)= tan 3xcos 6x. (ii) Hence find, for 0s.xs, the values of x in…

A: Trigonometric equation

Q: Find sin(2x), cos(2x), and tan(2x) from the given information.   sin(x) =  5 13,   x in Quadrant I…

A:

Q: the exprression csc x/sec x  is equivalent to: 1.  sin x 2. cos x 3. tan x 4. cot x

A: *to find:-  csc x/sec x = ?

Q: Calculate ∫9sin^4(x)cos^2(x)dx

A: Given: ∫ 9 sin4 x cos2 x dxFormula: cos2 x = 1-sin2 x…

Q: If cos(x)=A, cos(y)=B, sin(x)=C and sin(y)=D, find an expression for sin(2x+y) which only involves…

A: If cos(x)=A, cos(y)=B, sin(x)=C and sin(y)=D, find an expression for sin(2x+y) which only involves…

Q: The period of y = 3 cos 5x is 2 2 /5 2 /3

A: Given that: y=3cos5x

Q: A particle is moving in space with position function R(t) = (cos(4t), sin(4t),5 – 3t) Determine the…

A: We will use concept of arc length in 3d We want to determine the length of a vector function,…

Q: 2. Show that y = ce sin

A:

Q: express 5^(1/2) sin 2x + 2cos 2x =1 in the form R sin(2x + y) where R >0 and y is acute angle in…

A: Let's Solve,

Q: 12. Write an éxpression that gives all sölutions to the equation. COS X - SIn x 3= 2.

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Q: TO For x such that 0 < x<, the expression 2. V1-cosx V1- sin'x COS"X is equivalent to: sin x COS X

A: I am solving this in step 2

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: Show that sin x – cos x< V2 V2 -

A: Take RHS first and work on that:

Q: Recall that sin2 0 means (sin 0)². find sin2 0. If sin 0 = sin< 0 =

A:

Q: 1. Solve the DE: tan xsin y y'+(3 tan x-2 cos y) secx= 0

A: Given tanxsinyy'+3tanx-2cosysec2x =0 tanxsinydydx+3tanx-2cosysec2x =0 3tanx-2cosysec2xdx+tanxsinydy…

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: v in the quadrant IV COS (U+V)=

A: we have to find the exact value of cos(u + v) given that sin u=-3/5 with u in quadrant III, and sin…

Q: sin(x + y) – sin(x – y) = 2 cos x sin y

A: sinx+y-sinx-y=sinx cosy+cosx siny-sinx cosy-cosx siny=sinx cosy+cosx siny-sinx cosy+cosx siny=cosx…

Q: (3) Prove that Sina cos a -Sinß cos B sin cos B sinß cosy sin(2+ B+y)

A: We have have to solve given problem:

Q: Show that the equation f (x) = sin(x) + 6x + 1 = 0 has exactly one solution

A: f'(x)&gt;0 for all x. So , this function is strictly increasing

Q: The range of this Y= 2 cos (3x) Is?

A:

Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.