Converting to Sines and Cosines In Exercises 31-36, verify the identity by converting the left side into sines and cosines. cot? t_1 - sin² t 31. csc t sin t 32. cos x + sin x tan x = sec x 33. sec x – cos x = sin x tan x ty ty of alt 34. cot x tan x = sec x(csc x – 2 sin x) cot x 35. sec x csc(-x) 36. sec(-x) csc x – sin x cot x 回姓回

Q: (A) Verify the identity (i) (1 + tan² x)(1 - sin2x) = 1 sec x - 1 %3D tan x (ii) tan x sec x + 1 1+…

A: We have to prove the identities.

Q: prove identy show steps sinx/1-cosx  - 1/sinx = cotx

A: To prove the given identity, we are taking left hand side,

Q: Verify the identity. cot x - csc x 1- sec x = cot x

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Q: number 2. Prove the identity: ( [tan] ^2 e - (sin] ^2 0) / ( [sin] ^2 e) = [tan] ^2 e

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Q: tan + 1 tan ( = 1 sin cos 0 tan o = sin + sin²0 (cos ) (1 + sin o)

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Q: Verify the folowing equation is an identity with work shown…

A: Consider the LHS of the given expression.

Q: Verify the identity: tan x/2 - cot x/2 = -2 cot x

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

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

Q: verify the identity    2cot2x= cotx- tanx

A: To verify: 2cot2x=cotx-tanx Solution: We know that cotθ=1tanθ And we have formula,…

Q: Establish the identity. (sec 0+ tan 0)( sec 0- tan 0) = 1

A: We have to prove

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

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Q: 1-sine 13 (sece-tan 0)? %3D 1+sin0

A: We know that the trigonometric identities: i). secθ=1cosθii). tanθ=sinθcosθiii). sin2θ+cos2θ=1…

Q: practice question, I attached a photo

A: Since sin θ = -1/2,

Q: cosx tanx - sinx/ cotx = 0 verify the identity

A: cosxtanx-sinxcotx=0 cosxcotx-sinxcotx=0⇒sinxcosx-sinxcosx=0⇒sinx=0  or cosx-sinx=0⇒cosx=sinx ⇒x=nπ…

Q: = cot-" (2), a > 0 sin at Prove that L() = cot™

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Q: Verifying a Trigonometric Identity InExercises 57–64, verify the identity.

A: Draw the diagram to represent the polar coordinates of a point in a cartesian plane. Polar…

Q: tan : sin z :: cot : cos r cos/ sin O 1/tan O cos csc csc / sec

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Q: True or False sin( - θ) + sin θ = 0 for any value of θ.

A: To check: Whether sin-θ+sin θ=0 is true or not for any value of θ. Concept used:  Trigonometric…

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: Verify the identity. 1 + sin(x) 1 - sin(x) 1- sin(x) 1 + sin(x) 4 tan(x) sec(x)

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Q: Verify the identity algebraically. Use the table feature of a graphing utility to check your result…

A: The given identity is

Q: tan² x 1. Simplify: - 1+secx 2. Simplify: cot? x (sin² x) 3. Verify: sec²x cot x – cot x = tan x

A: Since you have posted a question with multiple subparts, we will solve first three subparts for you.…

Q: sin5x + sinx Verify the identity. = tan 3x cos 5x + cos.x

A: To verify the identity. sin5x + sinxcos5x + cosx = tan3x

Q: 1-sin0 sec0-tan 0 Cos e

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Q: sin 2ø tan² ß do + (sec² ß – 1) cos p dß = 0 B = 2 sin o + c %3D o p = 2 sec² B %3D

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Q: Error Analysis Describe the error.sin θcos(−θ) = sin θ−cos θ= −tan θ

A: Error Analysis Describe the error.  sinθcos-θ=sinθ-cosθ=-tanθ

Q: In Exercises 63–65, determine whetherthe statement is true or false. Justify your answer.63. tan x2…

A: (63) Consider the given equation as tanx2=tan2x

Q: Smx sınxtanx+ a) Explain the method for proving tanx cosx is an identity.

A: The method to prove the given identity is to transform the the any of the sides equal to the other…

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

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

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Q: Verify the identity. cot x - csc X 1- sec x cot x

A: Given:cotx-cscxx-secx=cotx

Q: Prove using trigonometric identity, showing work in the process:  1sin(2x)/sin(2x) =…

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Q: tan x sin x sin x Verify the following identity. tan x-sin x 1-cos x

A: To prove that  tan x sin xtan x-sin x=sin x1-cos x

Q: How do I subtract (sinϴ-1)/(cosϴ) - (cosϴ)/(sinϴ-1). Show work

A: We have given expression to subtract  Let, y=sinθ-1cosθ-cosθsinθ-1 y=sinθ-12-cos2θcosθsinθ-1 Using…

Q: Verify identity (sin θ - cos θ)/sin θ+(cos θ - sin θ)/cos θ= 2 - sec θ csc θ.

A: Given identity is sinθ-cosθsinθ+cosθ-sinθcosθ=2-secθcosecθ.

Q: X- sec x sin'x =COS

A: Solution of the problem as follows

Q: (sinx/ 1-cosx)=cscx + cotx   verify the identity

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Q: complete identity cosx + sin x/ cos x - sinx - cosx/sinx = ?

A: simplyfy

Q: Verifying a Trigonometric IdentityIn Exercises 19–24, verify the identityalgebraically. Use the…

A: (19). 1/tan θ + 1/cot θ = tan θ + cot θ   LHS : = 1/tan θ + 1/cot θ = (cot θ + tan θ)/tan θ cot θ =…

Q: sin: tan cos :: cot :

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Q: Establish the identity. sin 0. sec 0= tan 0 Write the left side in terms of sine and cosine. sin 0-[

A: Given,           sinθ·secθ=tanθ

Q: tanx + cotx = secx cosx verify the identity

A: Given                  tanx + cotx = secx cosx we have to verify that identity.

Q: Verify the identity: sin3θ = 3 sin θ - 4 sin3θ.

A: To prove, sin3θ=3sinθ-4sin3θ

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

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Q: Prove the identities:   csc x – cos x cot x = sin x

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Q: Application of Mean Value Theorem: 4. Prove the identity: sin² x + cos² x = 1, using the Mean Value…

A: The given identity is sin2x+cos2x=1 Let the right hand side of the function, sin2x+cos2x We know…

Q: Prove the identity. tan(x - ) - sin(x -) -cot(x) %3D tan(x -) - sin(x) cos - cos(x) sin() + sin(x)…

A: We have to solve

Q: Verify the identity: (tan2 x - cot2 x)/(tan x + cot x) = tan x - cot x

A: The given identity is tan2x-cot2xtanx+cotx=tanx-cotx

Q: sin z Show that

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