If F(x) ニ Sin ocde then a) Cos x り Sin (-3) ) Sim x d, Sin Ti

Q: tan? x sec² x + secx Prove -cos x

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Q: Prove the identity. cosx sin (x+y) – sinx cos (x+y) = sin y %3D

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Q: Verify the identity: sin(x - y)/(cos x cos y) + sin(y - z)/(cos y cos z) + sin(z - x)/ (cos z cos x…

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Q: Verify the identity     sec x + tan x = cos x /(1 − sin x) .

A: Our Aim is to prove the trigonometric identity given below:- sec x + tan x = cos x /(1 − sin x)…

Q: tan x sec X 3 10 cos xdydx

A: Given : Double integral ∫0π/2∫0tan x sec x y3 cos10x dydx   To find : Evaluate the given double…

Q: If f(x) = 7 sin-(*), then f'(2) - =

A: dsin-1xdx = 11-x2 dxndx=n.xn-1

Q: If y = sin x, then y' = - cot x sin x - tan x sec x sec x -sin x - Cs X tan x cos X CSC X

A: Given function is y=sinx. Differentiating the given function with respect to x, we get…

Q: he interval [0,2r) cos (x) sin (x) = 2 cos (x)

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Q: CianXtl) 2 tan x 8. Prove the identity: sin 2x = 1+ tan x L.S. es

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Q: 1. If tan x = 2 then tan( - x) : %3D 2. If sin x = 0.7 then sin( – x) 3. If cos x = 0.7 then cos( –…

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Q: sin(2x) cos(2x) Prove sec(x) sin(x) cos(x)

A: Trigonometry

Q: verify the identity: sin(x+y) + sin(x-y)         = tanx cos(x+y)+cos(x-y)

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Q: Prove the identity. cosx 1- sin x 1 = tan x cos x

A: We need to prove the following identity cosx1-sinx - 1cosx = tanx

Q: Prove the identity:  sin (x+y) - sin (x-y) = 2cos x sin y

A: Here we use two sine formula for the function:

Q: Prove sin?x tan²x – cos?x = sec²x - 2

A: To prove : sin2x tan2x - cos2x = sec2x - 2

Q: sin*[In()ax x{cos[

A: Given : ∫ sin3ln72x4dxxcosln72x4-1 Let us take  u= ln72x4⇒dudx= -4x⇒dx=-x4du Therefore, ∫…

Q: Prove the identity. sin'x cos'x= (cos'x- cos"x) sin x

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Q: If z = tan X 2 then sin x =

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Q: Verify the identity: (tan x + tan y)/(1 - tan x tan y)= (sin x cos y + cos x sin y)/ (cos x cos y -…

A: Given: verify that tanx+tany1-tanxtany=sinxcosy+cosxsinycosxcosy-sinxsiny for verifying given…

Q: Prove the identity  Cos x/1+sin x + Cos x/ 1-sinx = 2sec x

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Q: Find sin x if sin x – cos x x = 3 sec x

A: Consider the given trigonometric expression, sinx-cosx=13 now square both side of the equation,…

Q: 24. Prove the identity sec(x) (sin(x) + cos(x)) sec(x) + 2 sin(x)

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Q: What is the value of 4 (sin x tan dx X)? a) sin x + tan x sec x b) cos x + tan x sec x C) sin x +…

A: ddxsinxtanx= cosxtanx+sinxsec2x=sinx+tanxsecx

Q: 1-sin' x 3D sin.x 6. cosxcotx

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Q: Evaluate (tan x cos x) dx А. cos x + C cos x + C - С. - sin x + C D. sin x + C B.

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Q: tan x 4. a) Evaluate dx. In (cos x) b) Evaluatef e4*x3 dx.

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Q: If, (tan x + sec x)2= (A+sin x/B- sin x) A=

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Q: Evaluate: / [cos(x) – sin(x«) ]dr A cos(x) + sin(x) +C - cos(x) + sin(x) +C

A: In this question we will use basic of calculus i.e concept of integration. We will simply use the…

Q: tan x csc x-tan x sin x tan +cos x cos? Prove = COS s“ x csc x Show all work to receive credit

A: We have to prove

Q: * tan°(x) cos“(x) 1 tan7(x) 1 tan (x) O tan7(x),

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Q: Verify the identity 1- sin x (sec x- tan x)2 = %3D 1+sin x

A: secx-tanx2=1cosx-sinxcosx2=1-sinxcosx2=1-sinx2cos2x=1-sinx21-sin2x…

Q: Prove tan x + cos x = sin x (sec x + cot x).

A: We have to prove the identity: tan x+cos x=sin x sec x+cot x We know the relation between…

Q: if tan(x)=A, sin(x)=B, cos(x)=C, then a.sin( -x) _______ b.tan(-x ) _______ c.sec(-x ) _______…

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Q: Prove cos* x – sin* x =1–2sin² x

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Q: If f(x) = 6 sin- (x), then f'(x) =

A: We have to find solution

Q: Prove the identity. sin x 1+ cos x 1- cos x sin x

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Q: Verify the identity. sec(x) + csc(x) tan(x) + cot(x) cos(x) + sin(x)

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Q: tan(x) – cos²(x) dx Evaluate: cos(x) A sec(x) -sin (х) +с B B sec(x) + sin(x) + C © sin(x) – sec(x)…

A: We can find the integration as below

Q: Verify the identity: sin x tan x + cos x = sec x.

A: Given:sinx tanx+cosx=secx

Q: If tan x = -1/3, cos x > 0,, then sin 2x = ; cos 2x = tan 2x =

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Q: Prove the identity. TC sin +x+ 2. cotx sin (n-x)

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Q: If f (x) = - sin(x), then f (10) (x) is equal to = - sin(x), thenf (10) (x) is equal to A - sin(x) B…

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Q: Verify the identity: [cos(x + h) - cos x]/h = cos x. (cos h - 1)/h - sin x. (sin h)/h

A: we have to verify the identity : cos(x+h)-cosxh=cosx(cosh-1)h-sinx(sinh)h

Q: Prove the identity. 3 sin(x – y) cos y cos x 3 tan x - 3 tan y

A: Given that  3tanx-3tany=3sin(x-y)cosycosx We need to verify the given identity.

Q: Verify the identity: (sin3 x - cos3 x)/sin x - cos x = 1 + sin x cos x

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Q: 1+ sinx if x 7

A: In this question first, we have to plot each graph individually After that, we will find the values…

Q: If fx)=cos x, then f x)= COS X 1. sin x - sin x - COS X

A: To determine the third derivative of the function.