5. Given that 2 sin 20 = cos 20, a) show that tan 20 = 0.5. b) hence find the values of 0, to one decimal place, in the interval 0<0 < 360 for which 2 sin 20 ° = cos 20 °.

Q: 6. Find the exact of the following, if the exist. a. sec- 2 C. cot e. cos (arccsc12) b. csc-1 1 d.…

A: 6) a) Given:   sec-12            let sec-12=x then x=π4 b) csc-11    then x=π2

Q: For Excrcises 9–12, solve the cquation over the interval [0, 27). V3 V3 b. cosa = 9. a. sin 0 2 b.…

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

Q: Let sin s=--, with s in quadrant IV and let cos %3D II. Find cach of the following. 4. cos (s +1) 5.…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: sec(θ)=11/3

A: Please refer to the image below

Q: 7T then 3 If 0 = sin(0) equals Preview cos(8) equals Preview tan(0) equals Preview sec(0) equals…

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Q: 57T then 4° If 0 %3D - sin(0) equals cos(8) equals tan(0) equals sec(0) equals

A: Using trigonometrical identities.

Q: Given that the sin x = 2/5 and cos x = -1/4 with sin x in Q1 and cos x in Q3, find sin( sin x - cos…

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Q: Show that 2 sin 0 + sin 20 sin 0 1- cos 20 1 cos e Prove that (G) 1 T 1 tan-1 + sin V5 3. where…

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Q: 3 with A e QIII , find sin2A 8 7. If cos A =--

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

Q: 3. Find all angles 0 in the interval [0, 360°) that satisfy the equation tan 0 = 1.348. a) 0 to…

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Q: 3 5 3n If cos x = - 5 , where sin (x - y). , and cot y = 12 , where 2 determine the exact value of

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Q: 4 Suppose that sin e -and <0<1. Find the exact values of cos 2 and tan 2. Cos 2. = D tan, 2) %3D

A: As we know sin2θ+cos2θ=1. cosθ=1-452=1-1625=-35 Using Double angle formula: sinθ2=1-cosθ2=1+352=810…

Q: 9 If f(0) = cos 01 cos 02· cos 03 ... cos On + tan 0,}=- f (0) Show, {tan 0, + tan 02 + tan 03 +…

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Q: Find the exact values of the following expressions. Decimal approximations will receive no credit!…

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Q: 2 _ 2 if tane + sin0= m and tan0 – sin0 = n ,show that m² – n´ = 4 mn

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Q: If cos A %3D with A in QII V10 Find tan 2A. HIN

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Q: Find the length of the path over the given interval. (6(0 – sin(0)), 6(1 - cos(0)),

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Q: 3. Give upper and lower estimates (in terms of n alone) for sin nb COs na + valid for all a, b; show…

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Q: 0≤θ<2π, , solve 2tanθ+sinθcosθ=0.

A: 2tanθ +sinθ.cosθ =0, θ : 0⩽ θ &lt; 2π ⇒let alternate forms, ∴2tanθ + sinθ.cosθ=0∴2sinθcosθ+…

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

A: Evaluation of the definite Integral

Q: one of sin x, cos x, and tan x is given. Find the othertwo if x lies in the specified interval.

A: You know:

Q: Find the exaet values of sin 20 and cos 20 for cos 0= 3 on the interval 0° ses 90°. 18 V35 17 cos…

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Q: one of sin x, cos x, and tan x is given. Find the othertwo if x lies in the specified interval.

A: It is given that sinx=35.

Q: If 1, = | x" sin x dx, prove that 1, = nx"-! evaluate -1,. sin x- x" cosx– n(n-1)I, 2. Hence, = NX…

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Q: 24 If tan(0) = 10 0 <0< 90°, then the exact value of Hint sin(0) = %3D cos(0) : COS %3D sec(0) = %3D

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Q: 1 Show that sin e 8 cos (20) + 2 cos (40).

A: We need to show that, sin4θ=38-12cos2θ+18cos4θ

Q: 15 Suppose that tan a = TC <a<t. 2 and - Find the exact values of cos and tan 2 - JT Cos Undefined…

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Q: 7. Given that sin 0 and 270° < 0 < 360°, sketch 0 in standard position and fir %3D - 13 a. sin b.…

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Q: 7. B- Show that: (1) lime-0 tan 8 (2) tan 0 sec20 =D1 %3D do

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Q: Find sin(2x), cos(2x), and tan(2x) from the given information.   sin(x) =  5 13,   x in Quadrant I…

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Q: Find the exact value of sin 20 if tan 0 with 0 in QII. 4 %3D O - 8 17 13 17 8 17 17 o 4V17 17

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Q: Find the value of s in the interval 0, that satisfies the given statement. 2 sin s = 0.7247 radians…

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Q: 2. Suppose tan x = 3 -- with < x < 2n. Find the exact value of cos ). Show you work carefully. ensem…

A: Given problem:- tan(x) =-4/3 with 3π/2 &lt;x&lt; π To find:- Exact value of cosx2)

Q: 12 Find sin 2x, cos 2x, and tan 2x if sin x=- and x terminates in quadrant IV. 13 sin 2x %3D cos 2x…

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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: Can the Intermediate Value Theorem be used to prove that the equation 9 2(r + 9) sin*(x) – 4 cos"(x)…

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Q: Suppose that sin u > and cos v = 13 such that bot and v in the and quadrant. as are • What is the…

A: Here, the given values are: sin u=513 &amp; cos v=-35 So, u and v are both in 2nd quadrant.

Q: 2 /5 If cos(a) = - with π<α< compute the exact value of the following: 2 cos(2a)=| sin 2 tan 2

A: To find the required values we need to use the double angle formula and the half angle formulas.…

Q: 11.Show that A cos (ω0t) + B sin (ω0t) can be written in the form r sin(ω0t − θ). Determine r and θ…

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Q: 9 Suppose that a cos x = 1 + sin x, where 0° < x < 90°. a a Prove that 1 = t, where t = tan x. a + 1…

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Q: Given that sinθ= 3/5 and cos(θ)<0 that , what is the exact value of sec(θ)

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Q: Suppose a = 12 and b = 9. Find an exact value or give at least two decimal places: sin(A) = %3D

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Q: 5 If sin u = 13 12 cosu = 13 3 and cos W = 5 W = --, find the exact value of each of the following:…

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Q: that the left hand side of the equation is equivalent to the right hand side. 1- - sin cat Steps:…

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Q: Suppose v is in the interval 0, with tan v = 11. Find sin v. 2 Enter the exact answer. sin v = ?…

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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: 33. Use addition formulas and the values of sin 0 and cos 0 for 0 = to compute sin 12 and cos…

A: Given: sin7π12, cos7π12 We know that sinA+B=sinAcosB+cosAsinB…

Q: Assume sin(0) = 12 where 0 < 0 <. Compute the following in terms of x. tan (20) cos (2) - -

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Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.