Dear student, please answer the following questions: Q)1 Evaluate: 1) cos (sin-1) = 2) tan (cos-;) = %3D

Q: Find sin(2x), cos(2x), and tan(2x) from the given information. tan(x) 12 x in Quadrant II %D sin(2x)…

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Q: Find tan'e de cos*e 33. sin o 36. Cos

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Q: 2. If tan x = Find the sin x and cos x in the interval xe [n. : XE T,

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Q: Find sin(2x), cos(2x), and tan(2x) from the given information sec(x) = 4, x in Quadrant IV %3D…

A: Given: secx=4, x in Quadrant IV   We know that; The trigonometric identities; 1). sin2x+cos2x=1 2).…

Q: – sin x show that - In |sec x +c ??? %3D COS X

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Q: If sin x - cos x = 1/5, what is (sin x) (cos x) equivalent to?

A: Given sinx-cosx=15Squaring the equationsin2x+cos2x-2sinxcosx=125

Q: If sin x= 1/3 and sec y = 17/15, evaluate cos (x+y)

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Q: 8. Use the given information to find sin 20, cos 20, tan 20. sin =.0 < 0 <; %3D

A: Some Trigonometric formula,                             1.   sin2θ+cos2θ=12.   sin2θ = 2sinθcosθ3.…

Q: snip

A: Given expression, tanθ+tanθ+π+tanθ+2π And tanθ=3

Q: If 0 be a positive acute angle satisfying cos² 0 + cos“ 0 = 1 then the value of tan² 0 + tan“ 0 is

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Q: y = cos( + sin(x))

A: Please refer the attached image for complete solution.

Q: 5. The expression tanz+1 1+cot" was simplified as follows. tar' s+1 = = sec" r csc I cos e cot? a…

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Q: If csc(z) = 6, for 90° <z< 180°, then %3D sin () %3D «(금) cos tan(플) - ||

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Q: if sinθ + cosθ = 1 then what is the genaral value of  θ ?

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Q: If sin (2x) = cos (x+30), what is the value of x?

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Q: 3. Are reduction formulas needed to evaluate sin x cos? x dx? Why or why not?

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Q: Differentiate cos cos" Vi-x? y = ecos

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Q: If x=3 sin 0 (where 0<0<), then cos 0+9 tan 0 =

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Q: If csc(x) = 4, for 90° < x < 180°, then CS sin() Cos 2 %3D tan 2 %3D

A: formule: 1. cosec(x) = 1/sin(x) 2. tan(x) = sin(x)/cos(x)

Q: If sin(x) (in Quadrant-I), find 19 cos(2a) = %3D (Please enter answer accurate to 4 decimal places.)

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Q: If tan(0) Hint = sin(0) = cos(0) = sec (0) = 15 - 8 ) 0 ≤0 ≤ 90°, then the exact value of

A: Here we have to find the other trignometric function.

Q: Evaluete " 2X Cos(sin --

A: Use the inverse trigonometric identities and simplify.

Q: If ex = tan 0, then sin e: O 1 - cos e 1 ex

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Q: If sin z + cos I 2, then the value of sin" r+ cos" z will be-

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Q: The value of the expression cos r- tan z-2 + sin z + sec is

A: sin2x+cos2x=1 sec2x-tan2x=1

Q: 2. Which is the value of sin2 51° + cos? 51°? COS

A: We know that the trigonometric identity , sin 2 (A)  + cos2 (A) = 1

Q: 5. What is the purpose of using Odd and Even functions in Trigonometry? Also, indicate if sin 0, cos…

A: Graph of odd functions are symmetric about origin. i.e If  function f(x) is odd function, then f(-x)…

Q: Differentiate y = sin 20 cos 20

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Q: If cotx = D. cos x = Z. and x is in quadrant II, then A. sinx || ! B. cos x C. sin a CTLA

A: follow next step

Q: 19. An equivalent expression for sin 0 cot 0 is sec 0 tan 0 O cos 0 O sin e

A: Here we have to find the equivalent expression for the given expression sinθcotθ

Q: 5- ft2 cost dt n/2 6- sin? 20 cos 20 de

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Q: 1-cos?x 4. tanx sinxcosx

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Q: cos? y 1- sin y

A: sin2x + cos2x = 1

Q: 2) Find the value of: sec(tan )+ cos(sin ? 2. CoS

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Q: cos vx cos(sinvx) dx

A: Given query is to find the value of the integral.

Q: We wish to compute sin° x cos“x dx,

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Q: 1. Determine an exact value for the following expression: л sin COS sec+tan 444 4

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Q: 24 and cos(x)= 25 7 what is the vaule of tan(x) 25 If sin(x)= ? z,

A: According to the tangent identity, tan(x)=sin(x)cos(x). We know the value of sin(x) and cos(x), so…

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

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Q: 4. If (sin2x + cos2x)dx =, sin(2x – c) + a, find the values of a and c.

A: Introduction :

Q: If Sin(3x+5) = Cos(2x – 10) what is the value of x?

A: This question is related to comparison of trigonometry function.

Q: Find sin(2x), cos(2x), and tan(2x) from the given information. cos(x) = , csc(x) < 0 %3D

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Q: If sin y° =  9/c and tan y° = 9/d, what is the value of cos y°?

A: We know that, tan y°=sin y°/cos y°, So, cos y°=sin y°/tan y°.

Q: Cos x [SND] If y = tan x+ seç show that, y = (1 – sin æ)?

A: Topic  =trigonometry

Q: 25n - If cos-1 '(cos = y , Find value of y?

A: For a∈ℝ cos-1(cos a)=a                 (1) Given equation is: cos-1cos25π6=y           (2) Compare…

Q: Given: tan(0) 12 %3D find sec(0). = 12

A: Trigonometry Ratio's tanθ =PBsecθ=HB By Pythagoras theorem , H2 =P2+B2 Where H is hypotenuse , B is…

Q: dr + r tan 0 = cos? 0, do = 1. 4.

A: Given DE is drdθ+r tanθ=cos2θ   and rπ4=1 solve the given DE

Q: 2. If sin B is positive and cos B = find the exact values of csc ß and tan B. %3!

A: we know that sin θ = perpendicular/hypo cosθ  = base/hypo cscθ = hypo/perpendicular tan θ=…

Q: . Evaluate S sin' 2x cos 2x dx

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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.