A line makes the same angle e with each of the X- and Z- axis. It the angle A which R makes with the yaxis, is such that sin p = 3 sin a, then cos e equals 2/3 3/5 2/5 1/5

Q: If  alpha is a Quadrant IV angle with cos(alpha)=sqrt(5)/5 and sin(beta)=sqrt(10)/10, where…

A:

Q: 7. Given an angle 0 with < 0 <n and sin 0 = 4/5, find the exact values of (i) cos 0 (ii) cos 20…

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Q: Given that the point (-80, 39) is on the terminal side of an angle, 0, find the exact value of the…

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Q: Your answer must be an exact angle in radians and in the interval 0, . Example: Enter pi/6 for ()-…

A: We will solve the following problem.

Q: Find tan 8, csc 0, and cos 0, where is the angle shown in the Give exact values, not decimal…

A: Given query is to find indicated trigonometric functions.

Q: .If Sin 0 = 3/ 5 , find without using tables the values of : i) Cos 0 i) tan 0 (ans: ) 4/5; ij 34)…

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Q: 5. If a,ß are acute angles such that 4 cos a 8 and tan ß =, find cos(a-ß) 15 () and sin

A: The detailed solution is given below Thank you

Q: If two angles and the included side are given, the third angle is easy to find. Use the Law of Sines…

A: let BAC is the triangle such that  sides of a triangle are  BC=a; AC=a and AB=c ;  the corresponding…

Q: If the angle e is in standard position and P(x, y) is a point on the terminal side of 0, and ris the…

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Q: If cos t = and t is in the 3rd quadrant, then sin t =

A:

Q: 8. and If sin a =- 17 cos ß = for a second-quadrant angle a and a third-quadrant angle ß, find the…

A: solution is given below..

Q: Suppose cos 2 A , and 2A is an angle in the Second Quadrant. Then cos A Give the EXACT value.

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Q: 12 (b) If for a right-angle triangle, for the acute angle 0, sin e then, 13 %3D -- find the values…

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Q: The inverse of sin, cos, & tan is used when given 2 sides of a right triangle and asked to find an…

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Q: If the angle 0 is in standard position and P(x, y) is a point on the terminal side of 0, and r is…

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Q: For an acute angle 0 , the equation sin (0) = cos (6) is true. What is the value of 0 ?

A: If both the angles x and y are acute then    sin x=cos y⇒sin x =sin 90°-y⇒x=90°-y⇒x+y=90°For an…

Q: In a right triangle, one acute angle measures X°. If cos(x)= 3/4, what is the sin(90-x)?

A: In a right triangle,  Cos(x) = 3/4 We have to find sin(90-x)

Q: A right triangle has legs with lengths 2 and 3, and a is the acute angle opposite to the smallest…

A: We have to find value

Q: If the value of sin A is a negative fraction, then angle A terminates in

A:

Q: 1. If a, B are acute angles such 4 that cos a = 8 and tan B=, find 15 a. cos (a- B) b. sin 2

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Q: 4. which ratio is correct for cos (B)? (GSR %3D In AABC, LC is the right angle. If sin (A) =

A: see 2nd part

Q: Suppose that a and ß are in the first quadrant, sin(a) = , and sin(B) = . What is sin(a + B)?

A: cos2α=1-sin2α sinα+β=sinαcosβ+cosαsinβ

Q: For positive acute angles A and B, it is known that tan A = and 5 cos B=3. Find the value of sin(A -…

A: Sol:- tan(A)=pb=409 ; h = 402+92=41Therefore , sin(A)=ph=4041cos(B)=bh=513 ; p = 132-52=12Therefore…

Q: If sin(A+ 60°) = cos 2A where 2A is an acute angle, then find the value of A

A: We have to find the value of A where 2A is an acute angle and given that: sin A+60°=cos 2A We know…

Q: If the terminal side of angle A goes through the point (−24/25,7/25) on the unit circle, then what…

A:

Q: If a,ß are acute angles such that 4 cos a = and tan ß =, 5 find cos(a - B) 15 and sin

A: We have to find cosα-β and sinβ2

Q: If tan20 = cot(0+6°) where 20 and 0+6° are acute angles, what is the value of 0? *

A: This question is about trigonometry.  We will find here value of theta.

Q: The terminal side of an angle e in standard position contains the point (3, 12). Select all of the…

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Q: In the following diagram, angle 6 is in standard position. In each case, find sin 8, cos 0, and tan…

A: You know that in a right-angled triangle:

Q: Suppose cos(α)=−3/4 and sin(α) is negative. If the point (−3,y) is on the terminal side of the…

A: Use trigonometric ratio  &amp; its identity

Q: Question in image.

A: We have to find the value of cos(α + β) when sinα and tanβ are known.

Q: For positive acute angles A and B, it is known that sin A = 1 and 15 17 cos B Find the value of…

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Q: (금) 7 Suppose that is an angle in quadrant 3 and that cos y = Compute the exact value of sin 25 sin…

A: Given, cosγ = -725  γ2 is an angle in quadrant 3  We have to find the exact value of sinγ2.

Q: Suppose that a and B are in the first quadrant, sin(a) = and sin(B) = What is sin(a + B)?

A: The solution is :

Q: Find the values of sin 8, cos 8, and tan e for the given right triangle. Give the exact values. sin…

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Q: If sin e = , and 0 is in QI, find sec 0. %3D

A:

Q: For positive acute angles A and B, it is known that sin A = Find the value of sin(A - B) in simplest…

A: Use the Trigonometric identities to solve the question.

Q: 1. If the angle 0 is in standard position and P(x, y) is a point on the terminal side of 0, and r is…

A: Draw the diagram according to the question.

Q: In A QRS, LR is a right angle. If QS = 20 and m LQ=49°, what is the length of SR? Select one: 20 tan…

A: In right angle triangle △ABC, right angled at B sin θ=PH=perpendicularhypoteneous=opposite…

Q: Given that the point (-3, –2) is on the terminal arm of angle 0, find the exact value of cos 0.

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Q: (5) Suppose that 2 is an angle in quadrant 2 and that cos B Compute the exact value of cos 25 Cos ||

A: To determine the value of cos (β/2).

Q: In right ∆QRS, Angles Q and R are the acute angles. If tan Q = √51/7, determine cos R.

A: We have used the Pythagoras Theorem in this question.

Q: If sin a = 17 and cos B =- for a second-quadrant angle a and a third-quadrant angle B, find the 13…

A: Given :  sinα=817 cosβ=-513 We have to find out the value of sinα+β.  We know that…

Q: We will evaluate sin (5) by finding the reference angle of 5- What the reference angle of 5-? We'll…

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Q: Given the angle 0 shown in this right triangle: compute the exact value of each quantity: sin(0)…

A: From the figure of the right triangle, determine the opposite side and adjacent side. Then,…

Q: It is known that sin A =, where < A < n, and cos B = n< B < . Find the exact values of: where 13 3x…

A: Given that, sinA=35,π2&lt;A&lt;πcosA=-513,π&lt;B&lt;3π2

Q: Suppose that is an angle in quadrant 2 and that - 119 cos y = Compute the exact value of cos - 169…

A: here we have to find the value of half angle. the solution is following.

Q: The length of an arc in a circle of radius r, subtended by an angle theta is given by s=rtheta Where…

A: Let the letter s symbolize the length of an arc, which is called arc length.An arc "subtends" an…

Q: 8. Given that sin 0 = , and the angle 0 is in the first quadrant, find the value for cos 0.

A:

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.