TT т Evaluate sin as sin 4 12 3 11T 2т т Evaluate cos as cos 12 4 3 п Evaluate cos 5п 46. Evaluate sin 12 12

Q: 11. If 180° 0 ≤ 270° and cos 0 sin(20). == 12, find 15

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Q: If 0 then 4 sin(8) = cos(0) =

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Q: 16. If 90° < 0 < 180° and sin 0 = 2, find cos 20. ㅇ- ○一對 49 ㅇ O

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Q: If 0 degrees<θ<90degrees and sinθ=3/5, find cos2θ. 18/25 9/25 14/25 7/25

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Q: 7 If 0° < 0 < 90° and cos 0 = , find sin 20. 11 ' 28/2 121 14/2 121 O 84V2 121

A: To find the value of

Q: Use the exact values from show thatthe following are true.   cos 2 theta 30 0   + sin 2 30 0 =1 cos…

A: The values you will use : cos30∘=32sin30∘=12cos45∘=12sin45∘=12

Q: 57 then 3 If 0 sin(0) = cos(0) =

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Q: If 0°<θ<90° and sin⁡θ=12/13, find cos⁡θ using trigonometric identities. 12/13 5/13 12/5 5/12

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Q: Which of the following is equivalent to sec^2θ−1/sec^2θ for all values of θ for which…

A: We have to simplify

Q: Perform the indicated operation. 3. [4(cos 60° + i sin 60°)][6(cos 330° + i sin 330°)]

A: We have to solve given Questions.

Q: find the exact value of each using sum and difference

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Q: Find the exact value of sin 5π/12 using the fact that 5π/12 = π/6 + π/4.

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Q: Use de Moivre's Theorem to find the following.  [2(cos 20° + i sin 20°)]3

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Q: [3(cos 18° + i sin 18°). [2(cos 20° + i sin 20°)]³.

A: De Moivre's Theorem: cosθ+isinθn=cosnθ+isinnθ where n∈ℤ

Q: Evaluate the following (i) sin 78° cos 18° cos 78° sin 18° (ii) cos 47° cos 13° sin 47° sin 13°

A: These problems can be solved by using trigonometric formulas for sum and difference of two angles.…

Q: Find the exact values of the following. 1. cos 585° 2. csc 600° 3. sec(-420°) 4. cot 4 117 5. sin…

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Q: Find cos(θ) if sin(θ) is given and θ terminates in QI. sin(θ)= squareroot of 11/6

A: To find cos(θ).

Q: given that sin(x)=11/61, and 0<x<<x<pi/2 find cos(2x)

A: Given that sinx=1161             0&lt;x&lt;&lt;x&lt;π2 The interval shows that x is in first…

Q: Evaluate the following. Write your answer in a sheet of paper. 1. sin 30° +2 cos 90° 2. tan 90° -…

A: 1.sin 30°+2cos 90°=12+20=12+0=12 2.tan 90°-cos 60°+2sin 30°=∞-12+212=∞-12+1=∞ 3.csc 30°+3cot 60°-sin…

Q: Evaluate (5cos 60° +4 sec 30° – tan 45°) (sin' 30° + cos 30°)

A: We know that cos60°=1/2 , sec30°=2/√3 , tan45°=1 , sin30°=1/2 , cos30°=√3/2

Q: 6. Find the exact value of cos 5 Tt 12. 7. Find the value of: (tan 10°) (tan 15°) (tan 20°) ... (tan…

A: 6- Given- cos5π12 To find- The exact value of the above expression. Explanation- Rewrite the given…

Q: If COS 0 = √√3 2 ო sino = 9=1/1/21 FIN O sin0 = 1/14 2 O sin0 ine=-2/2 O sine= 11/13 2 == and < 0<-…

A: topic- trigonometric ratios

Q: If sin 60° = and cas B = find B. 60 O 30 O 20 If cos (26") = 0.899 and sin (26") = 0.438. Find sin…

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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

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Q: O Express Cosines Cos(2€) Cos(30) each produd as a Suun Containny only Sines ady

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Q: 5)Use De Moivre's theorem to simplify the following a)(cos 20+i sin 20)(cos 50+i sin 50)

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Q: to 11. If sin 18 0.309, determine the value of cos 72.

A: Answering question number 11 since 10th is already been correctly solved.

Q: if 0°<θ<90° and sin⁡θ=3/8, find cos⁡2θ.

A: To find: cos2θ Given information: if 0°&lt;θ&lt;90° and sinθ=38 Formula used: cos2θ=1-2sin2θ

Q: Prove the given cos 78° cos 42° cos 36° 8. II

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Q: Evaluate the following (i) sin 78° cos 18° cos 78° sin 18° (ii) cos 47° cos 13° -sin 47° sin 13° |

A: here we must know these formula: 1) sin(A-B)= sinA cosB - cosA sinB 2) cos(A+B) = cosA cosB - sinA…

Q: 9. Let's say sin (-) = a and cos 12 (플) = b. What 19T sin 12 19n cos 12

A: Find your answer below

Q: if 0°<θ<90° and sin⁡θ=3/5, find cos⁡2θ. 9/25 14/25 7/25 18/25

A: Given that  0&lt;θ&lt;90o and sinθ=35

Q: Suppose sin(@) = -³/5 and sin(ø) = –³/17. with both angles are in the interval n, 3*/2]. What must…

A: sinθ=-35sinϕ=-817

Q: Verify the identity. 30 csc 30 — сot 30 2 sin 2 2 csc 30

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Q: If sin B = 1 E with B in QIlI , find B sin В sin 3 + 22 = 2 5+2/6 sin 10 В sin 3 + 12 5+26 sin 10 В…

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Q: Establish the following identity. cos 0 – cos(30) = tan(20) sin(30) – sin 0

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Q: 7. If 0° < 0 < 90° and cos 0 find sin 20. 21/2 121 14/2 121 84 2 121 28/2 121

A: Since, we know that- sin2θ=2sinθcosθ &amp;  sinθ=1-cos2θ Then, sin2θ=2cosθ1-cos2θ

Q: sin 30° cos 60° + sin 60° cos 30°

A: Given, sin 30° cos 60° + sin 60° cos 30°

Q: If sin B = − 1 5 with B in QIII, find the following. cos  B 2

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Q: 15. If 0° <0 < 90° and cos 6 =, find sin 20. %3D O 282 121 O 84V2 121 121 O 21/2 121

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Q: Establish the identity. (4 cos 0-2 sin 0)2 + (2 cos 0 +4 sin 0)2 = 20 %3D Rewrite the left side by…

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Q: Find the exact value of each expression. 1) cos (2) 3) cos 2. 5) sin¬1 –1 7) cos -1 11 9) sin1 11…

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Q: Find sin(2θ), if cosθ=24/25 and θ lies inquadrant IV.

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Q: Which of the following expressions are equivalent to cos(20), .? tan(0) Choose all answers that are…

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Q: If cos B = 1/7, which is true?     sin (90 – B) = 1/7     sin B = 1/7     cos (90 – B0 = 7/1…

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Q: If sec 0 = – and sin 0 > 0, what is 3 sin 0 – cos(-0)? 6-3/133 13 O 6+3V133 13 3/205-6 13 3/205+6 13…

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Q: how is this solved ?

A: see 2nd step.

Q: 2. If 90° <0 < 180° and cos 0 = -, find cos 20. 25 16 25

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.