8 Let sin A = - 12 with 270° < AS 360° and cos B = with 90° < B s 180° and find the following. 17 13 sin(A + B)

Q: 16) If Sin A = where 0 < A <; 2 12 Cos B = where 13 < B < 2n 2 then find the value of ... Cos 2B Sin…

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Q: √3+2 px/3 ² √²³ (2² 10 (2 cos 0 - 3 sin 30) de dr

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Q: 4. Given 0 3 플, T, 3 ○ 0, 품,T, 똥 O 0, T

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Q: 5. (a) Expand (1+x) and hence find the value of (1.02) correct to 4 decimal place 1+sin 0 m-1 1-sin…

A: First expand 1+x4 then find the value of 1.044 Using the identity, a+b4=a4+4a3b+6a2b2+4ab3+b4…

Q: 8. 4 sin(at +b), where a and b are constants.

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Q: 10. Find the exact value of cos 2x given that cos x =

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Q: 7. Find the exact values of: a) sin ¹(1) b) tan-¹(0) 5-¹ (13) 2 COS

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Q: 4-If y= cos 8t , find the frequency (w) and the fundamental period(T.) 5-If: y = (sinx+1) (cosx+1)'…

A: We know that, The fundamental period(T0) of cos(x) = 2.pi                            if cos(ax) = (…

Q: 2 Given tan 0 = -and sin 0 > 0, find cos 0. %3D Cos 0 _ 3/13 13 О А. O B. cos O 0 = 3/13 COS %3D 13…

A: The given data is: tan θ= -23  and  sin θ&gt; 0

Q: – 4T then 3 If 0 sin(0) = %3D cos(0) = Give exact values. No decimals allowed!

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Q: 13. Simplify the leftandside so that LHS=RHS sin(b)/cos(b)-1 + sin(b)/cos(b)+1 = -2/tan(b)

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Q: /2 S cos (x) sin (æ) da = COS 0. 6. 15 15 O None O 15 2 45 2

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Q: Q3. Use substitution to show that x = n is a solution to the equation sin(x) – cos(x) = 1. Show your…

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Q: Express the number 2/3 – 3i in the form R(cos(0) +i sin(0)) = Re", where R> 0 and -7 < 0 <T. NOTE:…

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Q: Suppose that sin(a) = 4/8 and cos(b) =3/8 define in the first quadrant, determine sin(a+b). (round…

A: We have the relation,                cos2x+sin2x=1   If sina=48= 12                 cosa=1-sin2a…

Q: 10. Solve the following trigonometric equation for 0 < x < 2x. Explain your process. cos²x - 1 = 0

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Q: 1. f/² sin () cos (+) sin (²) d dx (Consider initially the first 2 terms)

A: We have to use the formulas for 2sin(A)cos(B)-sin(A+B)+sin(A-B) and 2sin(A)sin(B)=cos(A-B)-cos(A+B).…

Q: 19T If 0 then = sin(0) = %3D cos(8) = %3D

A: If θ=19π6We have to find sin(θ),cos(θ)

Q: 7 sin(2t) + 4 cos(t) = 0 %3D

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Q: 9. The position of a moving particle as a function of time is given by: x = (4 - 0.11) sin(0.81)…

A: Hello. Since your question has multiple parts, we will solve the first part for you. If you want…

Q: 2 - ƒ (t) = sin 0.5t + ²⁄t – 3 8 cos 32t

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Q: 2. Find the exact value a. sin'' -1/2 b. arccos - с. tan-1(tan - )

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Q: 9. cos (21) di 10. 11. sin'x cos's de 12.

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Q: 40 a) Find sin' xcos' xdx by using substitution u = cosx.

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Q: 4. (a) Express 3cos x-4 sin x in the form R cos(x+ a) where R>0 and 0 <a < (b) Hence find the…

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Q: 1 What value of x will make sinx = 2 A none of the given choices

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Q: 32. If 2 sin 0 cos 0 cos 0 =0, where 0 <0 < 2n, then the exact values of 0 are 57 0, 3 O0, 5. 7, ,…

A: Given : 2sinθcosθ - cosθ = 0 Where, 0 ≤ θ ≤ 2π To find : Exact value of θ?

Q: 1. Determine the value of cos(2x+2y) if sin z 3 and tan y = - for 4 sysa. for 0sxs: VI VI

A: Given : sin x = 3/5 and tan y = -3/4

Q: the sum of sin h 2x and cos h 2x

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Q: Q1: (1) Show that the value of € (-1, π), for which: sin² 0 1+ sin² 0 sin²0 1 + cos²0 cos² 0 cos²0 4…

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Q: 9 Find 0 if 0<0 < 2n and: d sin 0 = 1 h cos? 0 = i tan 0: i tan? 0 = 3

A: To find θ if 0 ≤ θ ≤ 2π  sin θ = 1cos2 θ = 12tan θ = -13tan2 θ = 3

Q: Express the number 2/3 – 8i in the form R(cos(0)+ i sin(0)) = Reo, where R> 0 and -T <0 <T. NOTE:…

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Q: 4. sin M= 20 16 30 5. tan L = 6. cos Z = 16

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Q: Question 3 in picture

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Q: 47. Show that y = sin(tan-x+ C) is the general solution of y' = /1 – y²/(1+x²). Then use the…

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Q: Suppose that sin(a) = 4/5 and cos(b) =4/7 define in the first quadrant, determine tan(a+b). (round…

A: Given, sin(a) = 4/5 ------equation 1 cos(b) =4/7 ------equation 2

Q: 39. cos (T + x) 40. sin (2m- xr) 學一) 37T 42. cos 41. sin -

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Q: ♫♫¹⁄² sin (*) cos (*) sin (²) dx (Consider initially the first 2 terms)

A: Solving the definite integral.

Q: 4. Prove that the identity is true. 1- cost e = sin² 0 1+ cos e

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Q: How do you solve this?

A: Given that cos x = 1/3 and x is in the interval (0, π/2).sin y = 1/2 and y is in the interval (π/2,…

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Q: Find cos (0 + p) given that cos 0 = 2 and cos p = 2 and that 0 and p are between 0 and t/2.

A: For the given values of  Cos(θ)=1213 Cos (ϕ) = 35 Cos(θ+ϕ ) is evaluated as shown below

Q: 2. Find the exact value of cos 30°. Enter your next step here () d号

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Q: Find: 2 Sin /2 t - 3 Sin t t – 2.Arc tan- + 3.Ac tan s - 2 Arc tan - 2 3.Ac tan s A.) В.) - 2.Arc…

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Q: 23, sin 50° + sin 40° 23. sin A VZ cos 5° B 2 cos 10° 2 cos 5° D V2 cos 10°

A: Trigonometric identity: sin x+sin y=2sinx+y2cosx-y2

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Q: 13 a Express sin(0 + 30°) + cos0 in the form Rsin(8+ a), where R>0 and 0°<a<90°. Give the exact…

A: Solved below

Q: Find cos (0 + p) given that cos 0 = and cos p = and that 0 and p are %3D between 0 and n/2.

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Q: 12 and x terminates in guadrant I. 13 Find sin 2x, cos 2x, and tan 2x if sinx= sin 2x %D cos 2x %3D…

A: Given: sin x=1213and x terminates in quadrant I. To find sin2x, cos2x, tan2x The hypotenuse side is…

Q: Express the number 8/3 – 6i in the form R(cos(0) + i sin(0)) = Re", where R 0 and -T <0 < T. NOTE:…

A: Please check step 2 for solution