Ques tion I a) rimplify the tollowin g expression -1 [cos [ cos' (2n) + fin" cos

Q: 口 1. Which is equal to cos ? 3 COS cos O cos 27 COS 3 O sin O sin

A: Solve the following

Q: 2 v sec 2 1+ cos 0°

A: We have to find the identity

Q: Establish the identity. 1- cos 8 = (csc @- cot 0) 1+ cos 8 Starting with the right side, which shows…

A: Consider the identity  1-cosθ1+cosθ=cscθ-cotθ2

Q: 57 then 3 If 0 sin(0) = cos(0) =

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Q: Prove : (1 - cos E)(1 + cos €)(1 + cot²0) = 1 %3D

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Q: Value of L is 16 $3+9s 16 O(1 + sin 31) 16 O (1 + cos 3t) 16 (1+ cos 3t) 3 (1 - cos 3t)

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Q: A = %3D (b) If cos (2a) – sin (2æ) = cos( %3D B =

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Q: II. Find tan (A +B) and tan (A - B) if: 5. cos A = - and sin B =, both A and B in QII.

A: As per bartleby guidelines we only give first question answers.

Q: θ=−25π/6θ, then sin(θ) =    cos(θ) =

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Q: cotx -1 cos 2x = cot x+ 1

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Q: (14) Prove the following identity cos(x + y) + cos(x - y) = 2 cos(x) cos(y). Make sure you show all…

A: We have to prove the given identity- cos(x + y )+cos(x - y) =2cos(x) cos(y).

Q: Verify the identity 2. COS cos t Cos tsin t cot t

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

A: Given : 1 +cosx1-cosx = (cscx + cotx)2

Q: (a) Prove that Sin-1x  + Cos-1 x  = π/2 .(b) Use part (a) to prove Formula 6.

A: a) We have to prove sin-1x+cos-1x=π2 Let sin-1x=θ                                     ⋯⋯1…

Q: Compute the exact value of cos (cos 4). COS COS

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Q: 73. Derive cos (u + v) = cosucos v – sinusinv by using the identity for cos (u – v) and the odd and…

A: Our Aim is to derive cos (u+v)=cos(u) cos (v)-sin (u) sin (v)-(i) by using the identity for cos…

Q: Hence prove that sin?a + cos²ɑ = 1 3.2

A: Since you have posted more than one question, we solve the first one for you. For the other…

Q: 3. In (cos)

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Q: 7-8. Prove that cos(a + B) cos(a – B) = cos?a - sin?ß %3D |

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Q: Homework: de 1-cos 0 1. S-

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

Q: 4. Prove the identity csc 0 – sin 0 = cot 0 cos 0.

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Q: Verify that the equation is an identity. (Hint: cos2x = cos(x+x).): cos2x = (cot^2 x-1)/(cot^2 x+1)

A: We have to verify: cos2x=cot2x-1cot2x+1 Taking LHS, LHS=cos2x=cosx+x=cosx cosx-sinx sinx=cos2x-sin2x…

Q: 9. Verify the identity. (1–cos² x)(csc x) cot x 2 sin x(tan x) a)a

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Q: Compute cos (cos-1(3/2)) O 3/2 O This quantity does not exist.

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Q: 3. Prove the identities following identities. tane sine + cos0 = sece

A: Given identity is tan θ ·sin θ+cos θ=sec θ   It is known that tan θ=sin θcos θ, sec θ=1cos θ Also,…

Q: 25л then 6. If 0 sin(0) - cos(0) =

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Q: 1+ cos A 1- cos A Prove = 4 cot A csc A 1- cos A 1+ cos A

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Q: cos(Inɔx),>o

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Q: Verify the identity. cos (x+ n) = - c COSX

A: It can be varified using the formula for cos(A+B)

Q: Estimate cos(π/4 - 0.1) + cosπ/4

A: Solving

Q: prove the identity.  1+Cos θ= Sin2θ/ 1-Cosθ

A: Given : 1 + cosθ = sin2θ1 - cosθ

Q: Evaluate cos O within AABC. 13 12 COS O Enter your next step here

A: We have given a right-angled triangle ∆ABC. We have to find the value of cosθ. The definition of the…

Q: Verify the identity. 1 - cos e 4)- 1 + cos e COS sec 0-1 sec e +1

A: From the given problem:   1-cosθ1+cosθ=secθ-1secθ+1   L.H.S.=1-cosθ1+cosθ   As we know that:…

Q: a, - pgâ, + z cos² pâ ‚, what is V •A ? :coS

A: Sol

Q: Find the exact value of cos. O undefined 1/2

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Q: 7. Prove the identity. 1-cos 20 tan 0 %3D sin 20

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Q: If n is a positive integer greater than 1, then cos" udu = u sin u + n - 1 cos-1 cos" udu n-2 Use…

A: Given,          ∫excos5exdx

Q: y = [ senau ли? sen("-)du x = cos du 2 cos

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Q: (3) Verify the identity: 1+cos + 1-cose 2csc²x

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Q: Verify the identity. (Simplify at each step.) cos t seci cos t sec(플-)- (cos: 1 = (cos t) cos t =…

A: We have to verify he identity  cost⋅secπ2−t=cott We know that secπ2−t=csct Hence,…

Q: 1 Cos(2) COS is equal 2]

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Q: What is the exact value for cos(cos-1(1))

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Q: Verify the identity. cos (x+n) = - COSX

A: By using trigonometric formula, we verify the given identity

Q: Verify that the equation is an identity. 2 cos x 1. cos X 1. 1+cos x 2.

A: It is trigonometric verification.

Q: prove it 6. *cos 4x = 1 - 8 sin?x + 8 sintx

A: Prove : cos 4x = 1 - 8 sin2x + 8 sin4x