المقدار التالي في ابسط صورة (sin x + cos x) (tan x + cot x)

Q: ind the slope of the tangent line to the curve 4 sin(x) + 5 cos(y) − 5sin(x)cos(y) + x = 3π at the…

A: To find the slope of the tangent line of 4sin x+5cos y-5sin xcos y+x=3π, differentiate it and…

Q: Please help me verify this identity: (sinx + cosx)^2 / sin^2 x - cos^2 x = sin^2 x - cos^2 x / (sinx…

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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: c) cos x tan x = sin x tanx %3D (Usx.SinzL (os x Sinc sinx cot x + = csc x - CSC X 1+cos x (e Sinzx…

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Q: Prove the identity. sinx 1. cotx 1-cosx sinx

A: 1 - sin2x = cos2x

Q: 28) Establish the identity. sin 0 (cot 0 + tan 0) = sec 0

A: We will use basic trigonometric identities mentioned whenevr they are used, to prove this.

Q: Prove that: 1) csc 0 + tan 0 . sec 0 csc 0.sce20 1-cos" x 2) sin x .cos x tan x 3) 3 cos' x-sia x+1…

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Q: 04) Prove that 1- Cos + x) = sin x, 2- (sin x +cos x) sec x = sec2 x %3D

A: We have to prove that following trigonometric 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: sin'x+ cos x sinx 3 ,2. tan x sec x = 2 cos"x

A: use simple trigonometric relations to prove it.

Q: Prove the identity. csc (-x)- sin (-x)=- cos x cot x

A: we know that sin(-x)=-sinx than csc(-x)=1/sin(-x)=1/-sinx than  1/-sinx -(-sinx) (1/-sinx)+sinx…

Q: sin (x) – cos²(x) Show that 1 F COS %3D CSC (x)

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Q: Verify identity (csc x - cot x)2 =(1 - cos x)/(1 + cos x).

A: The given identity is csc x-cot x2 =1-cos x1 + cos x

Q: Cotx-tanx=cos(2x)/sin(x)cos(x)

A:

Q: tan x - cot x Cos 2x Cot X t tanX

A: Given: tanx-cotxcotx+tanx=-cos2x

Q: Prove the identity. sin'x cos'x = (cosx-cos x) sinx 3. cos x- cos x) sinx

A:

Q: Verify. a. (2 tan x ) / (1 + tan2 x) = sin(2x) b.  1 / (1 − sin θ) + 1 / (1 + sin θ) = 2 sec2 θ c. 1…

A: Part a)Given:

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

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

A: We use the identity sin2x + cos2x=1

Q: sin(-æ) = - %3D V2 tan(x) = – %3D cos(x) csc(x) cot(x)

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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: sin(x+y) Verify that (sec x cos y + sin y csc x) %3D sin(2x)

A: Prove that sin(x+y) /sin2x?

Q: Prove the identity. sin(-0) sec(-0) cot(-0) = 1

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Q: VERIFY THE IDENTITY

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Q: 2. Verify: sin x+tan x %3D sin2x sec x cscx+cotx

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Q: 15. Verify the identities: a) csc x -sin x = cos x • cotx b) tan²0 1 + sece 1 - cose cose

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Q: Verify the identity tan(x) Cos(x) csc(x) (1 sec(x)) 1 1cos(x) 1cos(x) tan(x) cos(x) tan(x) 1 -…

A: Given identity to be verified is

Q: 2. Verify: sin x+tan x %3D sin?x sec x cSc x+cotx

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Q: 4sin'x – 1 1. 2sinx + 1 = 2sinx – 1 sin'x – 2sinx + 1 2. = sinx – 1 sinx – 1 3. ( sinx - cos x)(sinx…

A: Simply use the basic concepts of algebra and simplify the each one.

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: tan x 3. = sin x %3D secx

A: “Since you have posted multiple questions, we will solve first question for you. To get remaining…

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

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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: Prove (Start either from the LHS or the RHS but DO NOT work from both sides at the same tim 3. Prove…

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Q: Verify the identity: cot(-x) sin x = -cos x

A: cot(-x)=-cot(x)cot(x)=cos(x)sin(x)

Q: 1. sec x – tan x sin x = secx 1+cosx 2. = cscx + cotx sinx secosine 3. tan0+cot0 sin20 secß 4. tanß…

A: Here we prove the trigonometry equations.

Q: 6) Verify tan x + cot x = sin(2x)

A: Simplification

Q: sin 2x+cos2x+1 1- Prove cot x %3D sin 2x-cos 2x+1

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Q: Prove that = tan 0 + cot 0 (cosec 0-sin 6)(sec 0-cos 0)

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

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Q: sinx + sin 2 Evaluate | cosx A. -In cos x|– x+ C В. In'secx-x+ C C. -In|sec x|+ x+C D. In sec x|+x+C

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Q: Prove the identity. sec(-x)-sin(-x)tan(-x)=cosx

A: sec(-x)-sin(-x)tan(-x)=sec(x)-(-sin(x))(-tan(x))=sec(x)-sin(x)tan(x)

Q: Prove sin 2  x/2=  tan x - sin x / 2 tan  x

A: The given identity is sin2x2=tanx-sinx2tanx

Q: Prove sin 2 x = 2 cot x  / 1+ cot 2 x

A: We have to prove the given  equation sin2x=2cotx1+cot2x We will use here following trigonometric…

Q: prove  cosx( 1- tan x)= cos x- sin x

A: