Prove the cofunction identity using the Addition and Subtraction Formulas. tan ucot(u) TT 2 (3) is undefined, use a Reciprocal Identity, and then use the Substitution Formulas to simplify 2 Since tan sin (플-1) tan 2 cos-u) COS 2. sin(u)) (CcORCs(u))(sin)intu) s(u) cos sin(플))(sin(u) COs )(Cao()-((in) os(u) 1sin(u) 0cos(u) sin(u)

Q: Prove the identity. cos(x - ) - sin(x + =) - o

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Q: ) Prove cot 2 = tan u using the addition/subtraction formulas.

A: Given : cotπ2-u= tanu

Q: Verify the identity. (7 cos x-4 sin x)2 + (4 cosx+7 sin x)2 = 65

A: Given,           7cosx-4sinx2+4cosx+7sinx2=65

Q: - Use the double-angle identities to find tan(2x) if cosx = Enter an exact answer. Sain(4x) sin(1…

A:

Q: Use the addition formulas to derive the identities in Exercise

A: There are six trigonometric ratios those are sine, cosine, tangent, cosecant, secant and cotangent.…

Q: Use the addition formulas to derive the identities in Exercise

A: Use the addition formulas to derive the identities in Exercise                             cosx+π2=-…

Q: From the list below find the expression, identical to the given. tan 4x sin 8x + sin 3x cos 3x + cos…

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Q: Show that (tan- x) = cos2(tan-1x) and then use Figure 8 to prove that (tan- x) = (x² + 1)-1. V1+x? y…

A: Given:

Q: prove the identity cos^3x sin^3x =(sin^3x-sin^5x)cosx

A:

Q: Prove that sin -1 x + cos -1  x = pie /2

A: We have to prove:

Q: Verify the identities can be proven.   A) (1+cos x )/(1-cos x) - (1-cos x )/(1+cos x )=4 cot x csc…

A: We have to proof that following trigonometric identity.

Q: Verify the identity: (cos 3x - cos 5x)/(sin 3x + sin 5x) = tan x.

A:

Q: Verify the identity: (cos 4x - cos 2x)/(sin 2x - sin 4x) = tan 3x

A:

Q: Verify that the equation is an identity. (Hint: sin 2x = sin (x+ x)) sin 2x = 2 sin x cos x…

A: Given identity issin 2x = 2 sinx cos x prove it?

Q: Use the fundamental identities to match equivalent expressions. cos(8) – sin(0) a. cos(8) + sin(0)…

A:

Q: please help, ignore solution "-16/65" please.

A: To Determine: Exact value of the expression:

Q: Prove the identity. cos(3x) − cos^3 x = − cos x sin^2 x − sin x sin(2x)

A:

Q: Which expression is equal to sec⁡xsin⁡xcot⁡x+tan⁡x using identities? sin^2x cos^2x -cos^2x

A: As per your question no any option matched...but for x=0 one option is satisfying...and that option…

Q: sin 2x 29. sin x cos 2r = sec x cos x

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

Q: Prove the identity. cos²x 1+ sinx (1– sinx)? 1- sinx

A:

Q: Verify the identity. cos 3x + cos x = 4 cos3 x - 2 cos x Working with the left-hand side, use a…

A:

Q: Prove that cos 2x | tan x + cos 2x ).

A: we need to prove, 1-Cos2x1+Cos2x = tanx

Q: Prove Cos2x=1-tan^2x/1+tan^2x

A:

Q: prove that: tan(x/2)= (sinx/1+cosx

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Q: Prove the identity. sin x + sin 3x cos x + cos 3x tan 2x Use the Sum-to-Product Formulas and then…

A:

Q: Prove the identity. sin(3x) + sin(9x)_ cos(3x) + cos(9x) Use the Sum-to-Product Formulas and then…

A: Using the sum to product formula we get: sin(3x)+sin(9x)cos(3x)+cos(9x)=2sin6xcos3x2cos(6x)cos(3x)

Q: Verify the identity: 4 cos x cos 2x sin 3x = sin 2x + sin 4x + sin 6x

A: We have to verify the identity: 4cosxcos2xcos3x=sin2x+sin4x+sin6x We know that…

Q: Use addition formulas and the values of sin θ and cos θ for θ = π/3 ,π/4 to compute sin 7π /12 and…

A:

Q: Prove the identity. cosx- cos 7x tan 3x %3D sinx+ sin 7x

A: Here we use basic formulas of trigonometric ratios to find addition and subtraction.

Q: 1 Prove that sin x tan x = cos x. cosx

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Q: 6. Use the identities to find cscx and cotx if secx =7 and sinx < 0. Show all work.

A: Solve question number 6 as asked by the user .

Q: Verify the identity. (Simplify at each step.) 6 cos (T/2) – x 6 tan x sin (1/2) – x 6 cos (u/2) – x…

A:

Q: 4 sin“ x = 1 – 2 cos 2.x + cos² 2.x

A: 4sin4x=(2sin2x)2 Using cosine double angle formula which is cos 2x=1-2sin2x1-cos 2x=2sin2x…

Q: Rewrite cos(arctanx) as an algebraic expression in x. (That is, express cos(arctan x) entirely in…

A: We know that tan is the ratio of opposite side to the adjacent side, and cos is the ratio of…

Q: cos(Inɔx),>o

A:

Q: 3. Rewrite sec (tan-u+ cosv) (a, algebraic expression. as an

A:

Q: Prove the Identity 1-tan^4(x)=cos(2x)sec^4(x)

A: 1-tan^4(x)=cos(2x)sec^4(x)

Q: cos [arctan(-4/3) - arcsin(3/5)] b.  tan [arctan (5/6) + arcos (5/13)]

A:

Q: Which expression is equal to sec⁡x − tan⁡x sin⁡x using identities?   csc ⁡x   sec⁡ x   sin⁡ x…

A: We have to check

Q: Prove the identity. cos x- secx=-sinx tan x 2.

A:

Q: verify the identity  1 + sec ^2 x/ 1 + tan ^2 x = 1+ cos^2x

A: Note that 1+tan^2x = sec^2x  1/sec2x= cos2x

Q: Prove the identity. sin x + sin 3x cos x + cos 3x = tan 2x Use the Sum-to-Product Formulas and then…

A: Given : sinx + sin 3xcosx + cos3x = tan2x

Q: . Prove only 1 of the 2 identities given. sin x 1-cosx = 2 csc x 1-cos x sinx -) 1- sin? x – sin² y…

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Q: Verify the identity 2 tan α/2 = (sin2 α + 1 - cos2 α)/sin α(1 + cos α)

A: Verify the identity 2 tan α/2 = (sin2 α + 1 - cos2 α)/sin α(1 + cos α)

Q: What is the simplified form of cos 10r-cos 4x sin 10x+sin 4x O -cot(7x) O -tan(7x) O tan(7x) O no…

A: SOLUTION-

Q: Verify the identity by transforming the lefthand side into the right-hand side.

A: The given identity is, 1cos-x-tan-x sin-x=cos x The objective is to verify the identity by…

Q: What is the simplified form of cos 10z-cos 42 , sin 102+sin 4æ O -tan(7x) O -cot(7x) O tan(7x) O…

A: We will evaluate the given form to simplest form as shown below

Q: To evaluate sin 2x cos 2x dx , the identities to be used is/are: sin4x , 1+ cos4x A 2 2 ® cos?2x=1-…

A: To find The identities to be used.