sin x COsx Prove 2tanx secx - - cosx 1+ sin x

Q: tan x csc² x-tan x sin x tan +cos x cos² cos? x csc x Prove Show all work to receive credit

A: Apply the basic trigonometric formulas and simplify the terms.

Q: secx-tan x cos x %3D 1+sin x secx+tanx

A: consider the left hand side of the equation sec x -tan xsec x +tan x sec x -tan xsec x +tan x=1cos x…

Q: 1- sin x cos x 1- sin x cos x

A: We can solve as follows

Q: sin x COS cosx tan x cot x sin X COS X %3D

A: To verify the identity:-

Q: sin x 1-cos x = 2 csc x 1-cosx sinx

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Q: VERIFY THE IDENTITIES

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Q: Verify the identity.

A: To prove - sin2x+sin6xsin2x-sin6x = -tan4x cot2xProof - Taking left hand side of the given identity…

Q: (csc x- cot x)2 = 1- cos x %3D 1+ cos x

A: To prove: (csc⁡x−cot⁡x)2=1−cos⁡x1+cos⁡x We know that csx = 1sinx, cotx=cosxsinx

Q: 3. lim X-0 sinx sinx-cosx 4. lim x- 5. lim x(cosx-1) sinx-x

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

A: Trigonometry

Q: sin x(cos x-1) 8. Prove sin(n -x) – tan(t + x) | COSX

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Q: sin'x cosx dx Evaluate: (1- sinx)2(1+ sinx)2

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Q: Use identities to simplify each expression.

A: cosxsin2x+cos3xsecx=cosxsin2xsecx+cos3xsecx=cos2xsin2x+cos4x…

Q: sec x sin x sin.x Cosx 1 – cosx sin x sin.x 1- cos.x

A:

Q: sin x- cos x sin xcosx- cos x .2 CoS

A: To simplify

Q: (sin æ)(1 – cos æ) lim COs x x→0 x2

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Q: lim cos2x-1/sinx x-> 0

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Q: sin(cosx * x + Vx) (cosx)2 sin (x²) * cos(x –-) sin(x) – 2

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Q: 2. cotx = sin xsin π 2 --x+cos² x cotx

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Q: sin 2x 4. tan x = %3D 1+cos 2x 19 5. tan %3D = CSC X - cot x

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Q: (sin x + cos x) sin'x- cosx sin'x- cos'x cos-r COS X (sin x – cos x)2

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Q: inx-cosx -= sin x cos x сх-sec x сot х 1 cotx cscx+cotx tanx < – sin*x = 1 – 2 sin² x cot x sin x…

A: According to our guidelines we can answer only three subparts, or first question and rest can be…

Q: tan x -cot x sin x cos X %3D tan2x-cot2x 1-sin x %3D 1+ sin x 4. (sec x- tan x)² 3.

A: 3)tanx-cotxtan2x-cot2x=sinxcosxL.H.Stanx-cotxtan2x-cot2x=tanx-cotxtanx+cotxtanx-cotx=1tanx+cotx=1sin…

Q: 1-cosx sinx B: Prove sinx 1+cosx

A: Consider,  LHS=1-cosxsinx       =1-cosxsinx×1+cosx1+cosx       ....(muliply and divide by 1+cosx)…

Q: sin² (x) x…0 COSX-1 7) lim cotx + CSCx X-T 5) lim cosx+1 6) lim X-7 sinx 8) lim(--)

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Q: 8 sin x cos x sec x =

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Q: sinx Show that -dx= sin x +cos x 4

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Q: sin x cot x (1 – COs x Prove - (sec x+1)

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: 1+ cos x 2. 1 - cos x (csc x+ cot x)2

A: L.H.S :    1+cos x1-cos x               =(1+cos x)(1+cos x)(1-cos x)(1+cos x)               =(1+cos…

Q: sin 2x + sin x + cos 2x - 1 = _______ cos x cot x tan x sin x

A: Solution ) sin2x + sin x + cos2 x - 1  = sin2 x + cos2 x + sin x - 1 We know that  [ sin2 x + cos2 x…

Q: sinx 0 cosx –sinx cosx is non singular for all values of x. 1 lect one:

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Q: sin 3x-sin x Prove tan x. cos 3x+cos x

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Q: I+ cosx+ cos 2x (ii)Show that sin x+ sin 2x tan 20 - tan 0 = tan 0 sec20 cotx (iii) (iv) (cose -…

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Q: cos(x (*). cos(x + h) – cos x cos h – 1 sin h - - sin x · h COS x h h

A: Require to verify the identity cosx+h-cosxh=cosxcosh-1h-sinxsinhh

Q: sin x Verify: cot x + = csc x 1+cos x

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Q: 1-cosx sinx : Prove sinx 1+cosx : Prove tan2 1-cosx %3D 1+cosx

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Q: rove the identity. sin(3x)/sin(x)cos(x)=4cos(x)-sec(x)

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Q: 3 tan x cos x cot x = _______

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Q: sin7x 1. lim x→0 2x 1-cosx 2. limx→0 3.limx→0 sinx

A: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: sin x 15. у 3D cot x 17. у 3 16. у 3D' secx -4cse x cot x

A: "Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: cos'x - tanx 5. prove it cot'x - sec'x sin'x 1+ sec x 6. sin'x sec x 1- cos x cosx 7. 1- sin x cos x…

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Q: sin 3x-sin x 5. cos 3x+cosx tan x

A: Definition used -…

Q: sin(3x)-sin x - cot(2x)= cos(3x) - cos x

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Q: cosx Prove the identity: tanx+ sec x 1+ sin.x

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Q: Sin (3 x) Sin (3 x) dx

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Q: 1- sin(-x) 11. cos x+ cos(-x)sin = sec x

A: Dear student as per our rule in one session we can only solve one question. Please post the other…

Q: sin x-cos x 1. tan x csc x-secx cot x sin x cos X 1 1 2 2. cscx-cotx cscx+cotx tan x 3. cos4x - sin4…

A: 1. sin x-cos xtan x csc x-sec x cot x=sin x cos x2. 1csc x-cot x-1csc x+cot x=2tan x3.…

Q: 1- sin 0 Prove that = sec 0 - tan 0 1+ sin e

A: Square on both sides of the given relation We get

Q: 2. Prove sec?x + tanx secx 1- sin x

A: cos^2 x = 1 - sin^2 x sec x = 1/(cos x) tan x = sin x/cos x