30. cus 70 + i sin 70= A 7(cos 0 + i sin 0) B 7(cos 0 - i sin 6) C ( cos 0 + i sin O? D cos 20 cos 50 + i sin 20sin 50

Q: 1+ cos 40 cos* 20 do = .4 do = (1+2 cos 40 + cos 40) d0 1+ cos 80 de 4 3 + 2 cos 40 + 1 cos 80 do 1+…

A: Fully solve the intregal with each step

Q: sin (+) can be expanded to: π TT O sin COS sin sin 4 7 TT O sin sin COS cos 4 T Osin COS + cos sin…

A: Solved below.

Q: 3. * S cos(3z)sin1º(3z) dz A 1 C (sin(3z))10 + C 3 (cos (3z))10 + C - -- В 1 (cos (3z))'1 + C 33 1…

A:

Q: (sim (6)) 45. y - (1 + uan ()) 6. y = ¿(1 + cos (7)" 43. y sin (cos (2r - 5)) Eises 44. y= cos (5…

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: 15. Given that sin(1.4) = 0.99, determine the value of sin(2T +1.4). 2n 0.99 O 0.99 27 + 0.99 O…

A: Given : sin(1.4) = 0.99  sin(2π+1.4) = ?

Q: Value of L is 16 $3+9s 16 O(1 + sin 31) 16 O (1 + cos 3t) 16 (1+ cos 3t) 3 (1 - cos 3t)

A:

Q: Approximate all solutions to 8.cos(x)2 –6.cos(x)+1 in the interval [0°,360°) X= degrees Round your…

A: The given equation is quadratic in cosx.

Q: 2 sin 3a+35in 3otl =0

A:

Q: tan (+) = [² Lt) ton" (+ tan (4+/cmc+)) In 2 4 2 6 • tan À I 12 1²0 (+) - — tan² (+) + & tan² (+) +…

A:

Q: 1 is (s+3)* + 4 cos3t a) 3 cos2 b) c) 2 sin 2r d) 3 sin 2r

A: I will use the rules of inverse Laplace transform.

Q: 2a + acoth 2z ) dz \sin 3z a/2

A: We are given the integral: ∫a22a1sin 3z+a coth 2zdz Let I=∫a22a1sin 3z+a coth 2zdz I =∫a22a1sin 3z+a…

Q: 9 sin sin 2O° =Y 1o) cos cos 70 = a4 24 1)Sin Sin 7o = X 24 12) cos cos 20 = _ x %3D 24 24 20

A:

Q: 8 and x terminates in guadrant III. 15 Find sin 2x, cos 2x, and tan 2x if tanx= sin 2x %3D cos 2x…

A:

Q: b. Z1= 4(cos 200° + i sin 200°), z2= 25(cos 150° + i sin 150°)

A:

Q: An expression that can be obtained from 13 sin 20 cos 20 5 4 sin 20 cos 20 + cos 20 i. 4 sin 20 + 9…

A:

Q: -24-4s e S COS os(28) – 7 sen(28) cos s+6 s2 + 49

A:

Q: 25+16 x² (2, Sinx 3 + Cos? x xp 2

A: According to the fundamental theorem of calculus ∫f(x)dx=F(x), where dFdx=f(x). The definite…

Q: In Problems 28–44, establish each identity.

A: Trigonometric identities are given, we have to prove the identities. Note: we are answered with 3…

Q: Determine the value of 0 in sin(40 + 2°)csc(30+5°) = 1 O 3° O 4° O 5° O 2°

A: sin(4θ+2°)csc(3θ+5°)=1sin(4θ+2°)×1sin(3θ+5°)=1

Q: Answer: The approximate value of sin 29° is O sin 29° s 1( 29x 2 180 6)+ O sin 29° V3 ( 29x O sin…

A: Please see the explanation below

Q: #17. EXPRESS AS A PRODUCT а. sin 20 + sin 40 2 sin 30 cos A b. cos 5t + cos 6t 2 cos 41 eos 1 C. sin…

A:

Q: 3) Solve For OsO<2M VZ COS O + 2öin20=sin 20

A:

Q: 8. Simplify: cos(5x) cos(2x) + sin(5x) sin (2x) B) sin (5x) cos (7x) C) sin(3x) D) cos(3x) CoS

A:

Q: 4π 3 If Ꮎ cos(0) = sin(0) = = then

A:

Q: Find the unknowns: Ra, Rb, Ax, Ay, Aa, a, Ab Ra+ 6 cos 15+ Rb sin 15= - Ax [eqn 1] 32.2 8 Rb cos 15…

A:

Q: 1) z = 6| cos 3T +i sin 2 +i sin 6 W = 12] COS 6 Find 2.

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

Q: 9-simplify sin 3π/4 сos π/3 +cos 3π/3 sin π/3 a) Sin 13π/12 b) Sin 5π/12 c) Cos 13/12 d) Cos 5π/12

A:

Q: We apply one of the Half-Angle Formulas to simplify the integral cos (5æ) da. VWhat is the resulting…

A: We know the identity  Cos(2x)= 2cos2(x)-1

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: 4/7 8 sin 18) 8 8 sin 10tan 10) do sec? 10) +.

A:

Q: 43. If |2| > 2, then f - dr r = fcos(5) + k B sin-'(5) + k: cosh-" (5) + k: Itanh-"(4)+k B 2

A: by using hyperbolic Trigonometry substitution

Q: 2.10. Which of these equations is always true? A. sin(x) = cos(x) B. sin(x) = cos(90° – x) C. sin(x)…

A:

Q: tan? 20° – sin? 20° Compute: Show your work. tan² 20° sin² 20°

A: Given  tan220°-sin220°tan220°sin220°

Q: S cos(3z)sin1º(3z) dz A 1 (sin(3z))10 + C 3 C 1 (cos (3z))10 + C 3 -- 1 D 1 (cos (3z))'1 + C 33…

A:

Q: 20) sin(票 23) sin(一回) 21) cos (TT+e) 22) sin(277-e) 29) cos(年+e) 5TT 26) sin() 2テ) ton() 25)…

A: By bartleby rules, only first three questions have been answered 20.  sin5π12=sinπ2-π12=cosπ12…

Q: 1. tan 4 2. sin Зл 3. sin 4 4л 4. cos 3

A: There are multiple question. As per company policy kindly ask other question separately . 1.

Q: 1 then sin 20 is equal to 2 If 20 is in QIl and cos 30 cos 0 + sin 30 sin 0 V3 1 1

A: The given trigonometric problem is solved below in detail.

Q: 1 을 with If sin B B in Ql, find B sin ? В sin 3 + 2 6. 2 B sin 3 + 2 3+22 sin 2 6 sin 2 B 3+2/2

A:

Q: If 20 is in QII and cos 36 cos 0+ sin 30 sin 0 = then sin 20 is equal to 2 O V2 O V3 2 0 1 o 1

A: cos 3θ cosθ+sin 3θ sinθ=-12

Q: 5. [(6+3z)cos(1+4:)dz

A: To evaluate the given integral.

Q: 13л +i sin 16 5л +i sin 8. 13л 5л Let Z1 = 10| cos and Z, = 2| cos 16 8

A:

Q: sin 80 do Evaluate the integral 7+ cos 80 using the substitution u = 7+ cos 80. sin 80 do 7+ cos 80…

A:

Q: sec 0 + In + 27+3 = -3 2 In y? + 327 – 4 = 1+ cos 20 2/1+ (tan 0)² + 2ln /y + 22 = -3

A:

Q: Which expression is equal to sin^4⁡x−cos^4⁡x / sin^2⁡x−cos^2x using identities?   −1   2   1…

A: The given expression is .sin4x-cos4xsin2x-cos2x Use identities a2-b2=(a-b)(a+b), where a and b are…

Q: de 2- sin(e) ( cos(e) de 1+cos(0) de 2- 3sin(e) de 3sin(e) + 4cos(e) + 5 de sin(e) + 3cos(6) + 3

A: SOLUTION Given ∫dθ2 -sinθ∫cosθ dθ1+cosθ∫dθ2-3sinθ∫d θ3 sinθ+4 cosθ+5∫d θsinθ +3 cosθ+3 we need to…

Q: is it right to say cos (60o-30o) = cos60o .cos 30o+ sin60o.sin30o?

A: cos(A-B)=cosA.cosB+sinA.sinB

Q: dx O 32 cos 35 스) -Scos ()+7] + c O 32 cos ()- -cos+c O 32 7 32 CO 5 32 cos 35 (즐) 5sin)+21+C

A: A detailed solution is given below

Q: 24. (sin 0°)(tan 30°) + cos 0° 26. cos 60°(cos 0° - cos 180°) 25. (cos 180° + 2 tan 45°) 27. (sin…

A:

Correlation

Correlation defines a relationship between two independent variables. It tells the degree to which variables move in relation to each other. When two sets of data are related to each other, there is a correlation between them.

Linear Correlation

A correlation is used to determine the relationships between numerical and categorical variables. In other words, it is an indicator of how things are connected to one another. The correlation analysis is the study of how variables are related. 

Regression Analysis

Regression analysis is a statistical method in which it estimates the relationship between a dependent variable and one or more independent variable. In simple terms dependent variable is called as outcome variable and independent variable is called as predictors. Regression analysis is one of the methods to find the trends in data. The independent variable used in Regression analysis is named Predictor variable. It offers data of an associated dependent variable regarding a particular outcome.