621UEB 1,5) s-):2=11U open dot 12)+2=0 (210) dot -(3) +2=-113-1) 2) cosze cote-1 14Sinze cote +1 Cos? 6-Sin?e cose-1Sin sine 1+2sinecose +1 Sine 1 (cnso -Sino) Cof 0

Q: 7. Prove that: (3) (a) (4) (b) sin20 cos20-1 in (-0) + cos (- 0) = cost -cote =

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Q: **#1.) In triangle JKL, mZK = 90° and tanl = Determine the value of cos). %3D

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Q: Apply Maclaurln's Serles to Show (-1)*-1,2=-2) 2(n – 1)1 cos X=

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Q: Derive formula (2) on page 601. cosucos v 5lcos (u – v) + cos (u + v)]

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Q: () TT sin TT 31. sin 32. cos cos 33. sin sin 4 34. cos cos 35. сos -1 cos 36. sin sin 6. 6 (c() 37.…

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Q: The integral ¹S. 01-fese csc ³0 de sin² sin ²0 de = [sec³ sec ³0 de + cos² cos²0 de dx (x²+4)² can…

A: We have to solve Integral

Q: Help me solve

A: We’ll answer the 1st question since we answer only one question at a time. Please submit a new…

Q: 9) -135° Pos Neg Sin Cos -:-

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Q: 6) 1-cosx %3D 1+cosx (cotx - cscx)2

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Q: Determine whether the positive or negative square root should be selected. 1+ cos 565° cos 282.5° =…

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Q: how that cos 1+cos 8 and sin 1-Cos 0 %3D %3D using de Moivre's Theorem.

A: It is required to show that cosθ2=1+cosθ2 and sinθ2=1-cosθ2 by using de Moivre's theorem. By de…

Q: 1. Express each as a single trig ratio. a) Gos 20a cos 5a- sin 2 Oasin 5a b) sin 95° cos 45°- cos…

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Q: M= sen 50° · cos 10° - sen 25° cos 35° sen 12,5 °. cos 12,5°

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Q: In this exercise you will take on the role of a trigonometry teacher. A student has chosen to…

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Q: Express the number 8√3-6i in the form R(cos(0) + i sin(0)) = Re, where R> 0 and - ≤ ≤T. NOTE: Round…

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Q: ,2 - 1 If z = cis 0, show that i tan 0. 22 +1

A: this is complex analysis question and also very lengthy questions so I can do it in advanced…

Q: 2. Prove using the angle sum identity of sine: sin 90° = 1.

A: 2- Given- sin90°=1 To prove- The above expression using sum identity of sin. Identity Used-…

Q: (45°) – tan (45°). Give the exact value of sec 2, 1 2/3-3

A: Use the trigonometric table to solve the given problem.

Q: 3 Show that sin' 0 cos“ 0 1 1 cos (40) + 32 cos 128 cos ( 80). 128

A: To prove that,           sin4θcos4θ=3128-132cos4θ+1128cos8θ

Q: 9-10.j Show that sin20 2tane %3D 1+tan20

A: We will prove the trigonometric formula.

Q: cos Ꮎ 1 + tan 0 sin Ꮎ 1 + cote = cos 0 sin 0 Suppo pat bus to as to

A: Left side is given by :cosθ1+tanθ-sinθ1+cotθ

Q: -1 V3 2 Blank 1: CoS Blank 2: tan- (-) 3 (sin (-4)) Blank 3: sec 2 Blank 4: cos- (cos (*)) Blank 5:…

A: We have to find the exact values .

Q: prove that: a- cos20 = cos²0 – sin²0 %3D sin20 = 2sin0cos

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Q: v3 V3 sin 30 = , cos 30° = , tan 30° = COS %3D O sin 30° = , cos 30° = . , tan 30° = %3D %3D V3, cos…

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Q: Prove that cos 17° + sin17° tan62° %3D cos17° – sin17°

A: Devide the whole left side by Cos17° and use formula of tan(a+b)

Q: 4. Write 16 cos* xin terms of first powers of cosine. • Previous Next

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Q: Ísin^8 (3z) cos^5 (3z) dz * O 1/27 cos^9 (3z) - 2/33 cos^11 (3z) + 1/39 cos^13 (3z) + C O 1/27 sin^9…

A: Given integral I=∫ sin8(3z) cos5(3z)  dz

Q: 22. What is the minimum amount of information that you must have in order to be able to apply the…

A: The minimum information that you must have in order to be able to apply the law of sines is: 1) Two…

Q: Show that sin , +sin ¤, = 2 cos[;(4, – Þ,)]sin[;(P, +Ð,)]

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Q: To prove cos (-u) csc (-u) tan (-u) = 1, which of the following is correct as a first step? a. cos…

A: cos-u csc-u tan-u=1

Q: Evaluating an Inverse TrigonometricFunction In Exercises 5–18, find the exactvalue of the…

A: NOTE-AS WE ARE ALLOWED TO ANSWER THREE SUBPARTS IN ONE SESSION, SO, I HAVE ANSWERED FIRST THREE FOR…

Q: 13 If sec0 5 Show that 2 sin 0-3cos0 3D3 4 sin 0 –9 cos0

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Q: 9 Prove Sen 4t 4 cos3t sint-sin3t cos t.

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Q: Use the sum/difference identities from section 10.4 to find the exact value of: cos(165°) Verify the…

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Q: Find the points of intersection between r =2 cos20 andr=- %3D 1- cose

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Q: { 0, 1, sin’t, cos t, cos 2t } COS a cubcnnco? Juctifu vour

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Q: Select all the true equations. O cos(15) = sin(15) O cos(75) = sin(15) %3D O cos(75) = cos(15) O…

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Q: 14) Show that Cos e= 1- Sino COs o : |-Sinie

A: Given, cos2θ = 1-sin2θ We have to show that.

Q: 2 Verify the identity 4cos x (20 points) 2 2 2 4sin x cos²x + 4sin²x − 4sin³x = 4cos²x.

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Q: If sin theta + 2  cos theta = 1  then prove that 2sin theta - cos theta = 2

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Q: (cos 20+ jsin 20) (cos 60+ jsin 60)1" (cos 30+ jsin 30)°(cjs 1000)

A: the given expression is cos 2θ+jsin 2θ5cos 6θ+jsin 6θ10cos 3θ+jsin 3θ9cjs 10θ Using De Moivre's…

Q: 4. cos' (sin (7 /6 )) 5. sin 1 (cos (π/ ) 6. tan (sin (3n/2))

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Q: Differentiate the following: 1. sinocose 2 csce -coto tan@sece 3 (cos 0-1)0

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Q: Simplify [cos 20-i sin2018[cos 30+ i sin301² [cos 40+ i sin40 1³ [cos 20-i sin2015 using De Moivre's…

A: This question can be solved using the De Moivre's theorem which says eix=cosx+isinx

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.