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Q: a. Express x = --3-8ż in its trigonometric form r (cos(0) + i sin(0)) with 0 ≤ 0 < 2. Give your…

A: a) x=-3-8ib) 2+5i2+2i

Q: → find period of 8- @yotan 2 y. 5 cos 1o* 10 yo 11

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Q: Express the number 7√3-3i in the form R(cos(0) + i sin(0)) = Rei, where R> 0 and ≤0 ≤TT. NOTE: Round…

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

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Q: Prove that sin 4A = 4sinA cos³A - 4 cosA sinA.

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Q: How can we express the length of the dashed blue line? sin 12 n/3 O cos 6. 05 O tan 6 How can we…

A: Given query is to find the length of the indicated lines on unit circle m

Q: By expanding sin (2x + x) and using double angle formulae, show that sin 3x = 3 sin x – 4 sin'x.…

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Q: Find the two smallest positive solutions (accurate to two decimal places) of 8 sin(6x) = 7: %3D Give…

A: 8sin6x=7

Q: By using Cauchy laws find: sin (2) dz -i2 cos (2) dz 2-T3

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Q: Find z5, if z=2(cos π/3 + i sin π/3) and onvert answer into rectangular form.

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Q: B. With the indicated conc the given equation. 2. 2 Cos2 0 = -3 Sin 0, 3. Tan? x- Secx = 1, 4. Cos…

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Q: Find all solutions to 2 sin2 3u - sin 3u - 1 = 0, if u is measured in degrees.

A: given that 2 sin2 3u - sin 3u - 1 = 0 we need to find  all the possible solutions of u. the above…

Q: The entrance of Angel Stadium in Anaheim is cemposed of baseball bats configured in various right…

A: Given∠DCE =34°CD =47

Q: Which of the equations can be used to find the value of x A) Cos 30= x/5 B) Tan 30= 5/x C) Sin 30=…

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Q: (b) в — р2'а, + psin'ф а, + 2pz sin' ф а, sin²o as + 2pz sin*ф а,

A: The complete solutions are given below

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: 15) tan- -1 Vz 17) cos -1 19) tan 1

A: topic - Inverse trigonometric ratios

Q: 15. Restate r= 5 cos 0 in rectangular form.

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Q: Part 3 of 4 COS X d —CSC X + С dx To check for the result, prove that 1 - cos?x

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Q: 4 If tan(0) , 0 < 0< 3 T then 2 sin(0) equals cos(0) equals COS COS sec(0) equals

A: Use Pythagorean theorem to calculate remaining trig ratios as following:-

Q: 24. arccsc ( csc D. 8 25. cot(cot-1(-10)) E. 4 rec-(- tan ) 26. sec-1 F. V95

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Q: Prove 3n - T, 2 sin? x – sinx cosx – 2 cos? x=0 in has five root's Hint. Intermediate value theorem

A: Corollary of Intermediate value theorem :- If a continuous function has values of opposite sign…

Q: 2) Verify that the equation is an Identity tan 0 %3D sin 0 sec 0 %3D %3D

A: We know that secx is the inverse of cosx and tanx=sinxcosx the objective is to prove the…

Q: 19. TT/2 -π/2 sin 0 de 20. * sec² 0 de

A: 19 ∫-π/2π/2 sinθdθ [-cosθ ]-π/2π/2 0 - 0 =0 other way sin is odd function so also integration is = 0…

Q: tanla= 2 with 3T LaL2p 3 2 and Sin lb) = 3 with IT L6LT 2. %3D

A: Solution:-  tana=-23   with 3π2&lt;a&lt;2π (fourth quadrant) sinb=34 with    π2&lt;b&lt;π   (second…

Q: Done Find sin(20) if sec 0 = 3/2 and tan 0 < 0. %3D 6 Reply 1 Forward

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Q: General Sol. of  y' tanxsin2y= sin2x+sin2y is

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Q: find exact value 197 8. (a) cos 6 (b) сos 6 (c) cos 6 9. (a) cos 4 (b) cos 4 (c) cos 4 10. (a) sin 4…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: Find all solutions of the equation in the interval [0, 2n). sin’x+4 sin x+ 3=0 Writ cwor in radianc…

A: we have equation,          sin2x + 4sinx + 3=0 we put sinx = x, we get          x2 + 4x +3 =0 we…

Q: Is the equation 2 sin2 0 – cos 0 + 4 = 0 possible ?

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Q: A particle is moving in space with position function R(t) = (cos(4t), sin(4t),5 – 3t) Determine the…

A: We will use concept of arc length in 3d We want to determine the length of a vector function,…

Q: Q4:B/Simplify [cos 20-i sin20][cos 30+ i sin301² [cos 40+ i sin40³[cos 20-i sin2015 using De…

A: Formula Used-  De Moivre's theorem: cosθ+isinθn=cos nθ+isin nθ cos mθ+isin mθcos nθ+isin nθ=cos…

Q: why we useltn@) inATOA tor) (sec 1 tan 0 sin 0 cos 0 A(1, 0) Pr FIGURE 2.30 The figure for the proof…

A: We know that  Tan(x) =sin(x)/cos(x)

Q: express 5^(1/2) sin 2x + 2cos 2x =1 in the form R sin(2x + y) where R >0 and y is acute angle in…

A: Let's Solve,

Q: (7) (a) Prove the identity using Double Angle and Sum to Product Formulas: sin 10x cos 5x %3D sin 9x…

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Q: (a-B) (at sin (a+B) 2- show that cosa – cosß = -2sin 2.

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Q: 2 Convert r = to rectangular form. 7 sin 0 COS

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

A: This is a question of linear algebra and vector space.

Q: cos(2theta)+6sin2 theta=4, what is the solution in interval 0 less than or eqaul to theta less than…

A: Topic:- trigonometry

Q: 1) B = cos 30 + sin² 0 tan 2x 2) y = 1-cot 2x 3) w = 2 csc(1 – 3x)

A: This question is taken from the derivative in which we have to find the derivative of the given…

Q: the exact value of a. sin 2° b. cos 2° с. tan- 2° 4 T 55. sin 0 5' 2 12 TT 0 62. csc 0 = V7, tan 0…

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Q: Q1- Show that cote)+tan(e) a. cofe)-tan(9) sec(20) b. sin(36) = 3 sin(@) - 4sin (0) = Se %3D

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Q: Show that the equation 2sinx cosx+4cos x=1 may be written in the form of tan x-2 tan x-3=0. Hence,…

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Q: TT CoS-+COs sin 3 = sin Prove that Sin 3 - 6. 6. 2.

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Q: Prove that; (a) cos4θ- sin4θ = cos 2θ  (b) Sin (π/4 + A) + Sin (π/4 - A) ≡ √2 cos A

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Q: Which of the following is equivalent to cos (60° + 0) + sin(30° + 0)? cos 0 + v3 stn e cos e O…

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Q: Recall that sin² 0 means (sin 0)². V5 find sin2 0. If sin 0 = 3 %3D sin? 0 = %3D

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Q: In the interval [0, 7], the solution set of 2 sin? a – sin x = 0 is o {},풀} o {플,똥} o {), 중} o {플,증}…

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