Prove the identity : sin(x-y) tanx- tany Cosxcosy

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

A: To Prove:cosx-ycosxcosy=1+tanxtany

Q: Prove the following identities: 1- sin x cCs x 1. + - = 2 sec x %3D 1- sin x cos x

A:

Q: Prove the identity. +x + sin 6. sin = cos x

A: Given, We have to prove the identity sinπ6+x+sinπ6-x=cosx

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

A:

Q: 3 Prove the identity: sin30 = sin® –sin30 using De Moivre's theorem.

A: To prove the given identity ,we have to use De Moivre's identity.

Q: Determine whether the statement (d/dx) [arctan(tan x)] = 1 for all x in the domain. is true or…

A:

Q: Prove the following identities: sin 6+ sec 0) +(cos 0+ sece) = (1+sec0 cosece)

A: We can easily prove this given identity shown below

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

A:

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: cos(x + y)cos(x – y) = cos?x – sin²y

A:

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

A: We have to prove the identity                              cosx+ycosy+sinx+ysiny=cosx

Q: Establish the identity. sin x+ sin y X+y = tan COS X+ COs y 2.

A:

Q: Prove the identity. sin(x+y) sinx + cos(x+y) cosx = cosy

A:

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: 3. Prove the identities following identities. 2tanx sin2x %3D 1+tan²x

A:

Q: coS X sccr+ tan x 1- sinx

A: given,        cosx1-sinx=secx+tanx

Q: A. PROVE THE FOLLOWING IDENTITIES: sinx cosx 5. 1-tanx' 1-cotx sinx + cosx %3D

A: We know that,  tanx=sinxcosx           ⋯⋯1cotx=cosxsinx           ⋯⋯2 Taking the LHS part and on…

Q: (2k + 1). True or False tan 0. cos 0 = sin 0 for any 0 + %3D

A: Given :            tan θ . cos θ = sin θ for any θ ≠ (2k + 1)π2.  To state true or fase.

Q: Find 1+sin -cos I COS In | sin - z+cos In In 1+tan +C +C +C +C

A: We can evaluate the given integral by using the substitution u = tan (x/2).

Q: Verify the identity sin 2t - tan t = tan t cos 2t.

A: Given:sin2t-tant=tant cos2tTrigonometry formula:sin2t=2sint costtant=sintcostcos2t=cos2t-sin2t

Q: Use the Intermediate Value Theorem to prove that sin x − cos x = 3x has a solution, and use Rolle’s…

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Q: Find of: y = Tan? (sin-1(x*)) %3D

A: Find the derivative

Q: Prove the following 2 tan 0 a sin 20 1+ tan? 0 2cos' x-cos x b cot xe sin x - 2 sin' x

A:

Q: 2. Verify the following identities (a) sec e - tan@ =sec 0+tan6 sec 8+tan 6

A:

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: sin (z) 1-con(E)

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Q: Prove that: Sin'x+ cosx=I

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Q: Prove the identity: sin (x-y) tanx- tany cosx cosy

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: The integartion of [sin(sinØ)]Ø cos dø Is: cos(sin0)+C -sin(cos Ø) + C O -sin(sinØ) + C O -cos(sinØ)…

A:

Q: 3. Prove the identity tan * COS v t CSC x Sinx=2sinx

A: Prove the identity

Q: verify the following trignometric identities. (1 + sin x / 1 - sin x) - (1 - sin x / 1 + sin x) = 4…

A:

Q: 1. Prove the following identities. 1+cosx a) secx - tanxsinx = - b) sinx %3D cscx + cotx secx

A: 1(a). The given data is: To prove the identities: secx-tanxsinx=1secx

Q: Verify the following identities. SHOW EVERY STEP!!! a. sin θ/1+sin θ = tan θ secθ - tan2 θ b. 2…

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Q: 2. Verify the following identities (a) sec 0- tan 0: sec 0+tan 0 (b) (cot z- csc z)(cos r+ 1) = -…

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Q: Prove the identity. TC cos = tanx %3D cos (T+x)

A: To Prove:

Q: Prove the identity. sin(n-x)сos(n+x)tan(2π − x) T 3π 3π sec+ x)csc(³7-x)cot (³7 + x) = sin^x - sin²x

A: I have appended the formula used in the solution part of the question

Q: Prove cos* x – sin* x =1–2sin² x

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

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Q: a1/ Prove that 1+ sine tane + sece - 1 tane - sece +1 cose

A: Note:-     as per our guidelines we are supposed to answer only one question. Kindly repost other…

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

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Q: 2. Prove the following identities: a) tanx + cotx = secxcscx cosx + 1+sinx cosx b) 1-sinx cosx

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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: tx)+ Sin(꼴-)- -26S X %3D Prove sin

A:

Q: Show and briefly explain your steps to find the exact con [tan-+ sin (-) „y the 1 1 5 + sin value of…

A: Given that: costan-112+sin-1-213

Q: The simplest form of tan2x is secx-1 Select one: a. tan x b. cos x +1 C. sec x + 1

A: Given:     To determine: The simplest form

Q: Verify the identity: sin t tan t = (1 - cos2 t)/cos t

A: To Prove - sint tant = 1-cos2tcost