1 and v = 2 -2 the angle between u + 2v and re exist a real number k such tha Explain why or why not. If it is pe

Q: 28. Given a right triangle A ABC in which the hypotenuse AB has length 1. Show that n= sin(A) and…

A: First I have prove for , hypotenuse = 1  And then for, |AB|=k Just use the property of Right angle…

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Q: (12) The sides opposite to and adjacent to the angle 0 in a right triangle are r and 1 respectively.…

A: The measure of the hypotenuse of a triangle is given by: Hypotenuse=sum of the squares of the other…

Q: The coordinates of the endpoints of HI are H(1, 4) and I(13, 16). Point J is on Hi and divides it…

A: Section formula : Let P(x,y) that divides the line segment with points as A(x1,y1) and B(x2,y2) with…

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Q: Three survey markers are located on a map at points H, I, and J. A triangle Is formed by connecting…

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Q: sin R For each right triangle shown, verify that tan R = cos R 1. 2. R 3. 8. 15 10 37 12 R 35 17 8.…

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

Q: u = a. V =2 1 Suppose is the angle betweenu and V. Then the following holds: If cos e = 0, then a =…

A: u=2a1,  v=122 Now, cosθ=0⇒θ=π2 Therefore the vectors are perpendicular.  It means their dot product…

Q: (i) Find tan C, giving your answer in the form k/2. You must not use a calculator in Question . tdhe…

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Q: 13 and cot B 12 15 find the following. If a and ß are acute angles such that csc a = (a) sin(a + B)…

A: Solution: The objective is to find the required values

Q: 2a The following diagram shows a triangle ABC. diagram not to scale B Sin Sin B 1. 15 10 10 15 AC =…

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Q: The diagram shows a triangle ABC in which angle A = 90°. Sides AB and AC are V5-2 and Calculators…

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Q: 17. If cosA = a) 30° √√3 2 0° ≤0 ≤ 90°, and B = 60° + A, then the value of secB is: " b) 90° c) 0 d)…

A: 17) Given, cos(A)=32, 0°≤θ≤90°,B=60°+A Aim: To find sec(B).

Q: Suppose that y is an angle with sin y- 4/7 and y is not in the first quadrant. What is the exact…

A: If y is not in the first quadrant where all trigonometric functions are positive then certainly y is…

Q: 6. A level scaffold is to be supported at the center of a 12 ft ladder, as shown. This means that 6'…

A: Distance x and the angle find using pythogoras theorem

Q: Note: Give the answer as a multiple of T. Do not use decimal numbers. The answer should be a…

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Q: 19-20. The following cases of oblique triangles can be solved using law of sines, EXCEPT a. Two…

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Q: Two sides of a triangle have lengths a and b, and the angle between them is u. What value of u will…

A: The area of the triangle is,

Q: 13-14. Using the law of sines, which expression is equivalent to c/ Sin C? a. c/ sin B c. b/ sin B…

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Q: Two circles are concentric. Two arcs are formed by the same central angle, with arc lengths of 54…

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Q: U 1. If you were proving the theorem about the equality of the corresponding angles in this diagram,…

A: The objective is to check which option is true

Q: Equivalent Descriptions of Interior of an Angle. In class w possible definitions of the interior of…

A: Here, in the question given the description in the interior angle ∠BAC in part (a) having D in the…

Q: 8) Find the missing angle measure, 0, to the nearest 11 hundredth. sin 8 = 19 A) 8= 0.01° 0=0.010°…

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Q: e. Given SAS, (two side lengths and the angle between them) there may be 0, 1, or 2 different…

A: e: false For SAS( side-angle-side) , there should be atleast two triangles . In SAS , two sides of…

Q: 3) Find the exact value of sin 165° sin (+D) Pnd two usicincle angles hac subro to 15 30°, 60°, 90°,…

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Q: E A B

A: We are going to solve

Q: If cot 0 is undefined, and <0 < *, then what is the value of Csc 0? O-1 O undefined 0 1

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Q: Parts D-E

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Q: 43. PROVE: Area of a Triangle Show that, given the three angles A, B, and C of a triangle and one…

A: We know that if angles of a triangle are A, B, C and sides of triangle are a, b and c then areaA of…

Q: I am stuck on this problem, Please help.

A: First we take sin inverse on both sides .

Q: 17. ( The rectangular box has diminsions 8" x 6" × 4". What is the measure of the angle, decimal…

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Q: Iriangle Congruence Proof: (Show work on Slide 5) Given: AC = EC and BC DC Prove: AACB 2 AECD

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Q: 13 Triangles ABC and DEF are right triangles, as shown. Triangle ABC is similar to triangle DEF. E A…

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Q: 22. The terminal side of angle 0 goes through the point (-10, -24). What is the ratio for Sin 0? O…

A: Note - ( As you asked multiple question , According to our guidelines we will answer only first…

Q: Given: BC DC; AC EC Prove: ABCA = ADCE Statements Reasons 1. 1. Given 2. 2. Vertical Zs Theorem 3.…

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Q: Statements Reasons 1. AB 2 AC 2. A ABC is isosceles 3. BD CD 4. ZB 2 ZC 1. Given 2. Definition of…

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Q: 2. Another key theorem is de Moivre's Theorem which states: (cos 0 + i sin 0)" = cos no + i sin ne.…

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Q: 4.) Triangle AB'C is obtained from ABC by point reflection in the midpoint of AC. Prove that the…

A: The sum of three interior angles of a triangle is 180°.

Q: 5. The angle 0 coterminal to 167 and such that 3r < 0 < 4x can be written as An in lowest terms.…

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Q: A line makes the same angle e with each of the X- and Z- axis. It the angle A which R makes with the…

A: We will find out the required value using property of direction cosines of a line.

Q: 4 Let 0 be an angle in guadrant IV such that sec 0 3 Find the exact values of cot 0 and sin 0. cot 0…

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Q: 7. The two circles have different radii and the arcs highlighted in blue are different lengths. Are…

A: According to the central angle formula, Angle=Arc lengthRadius. Substitute α for angle, 4π for arc…

Q: 13.1 10.5 A B If AC has length 10.5 and BC has length 13.1, find: • The length of AB: • The measure…

A: given AC=10.5          BC=13.1

Q: Complete this exercise without a calcula P (3; 4) is a point in the Cartesian plane. OP makes an…

A: Given O is the origin with coordinates (0,0) and P is the point (3,4) with angle POA=90 degrees.

Q: 22) Maich the correci triq.angie with the corre ratio COlumn A Sin 52 Column B b 52 1. a) 2. tan 52…

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Q: 5 Which one of the following would be a principal angle in the solution set for cos X ==. 6 Select…

A: I am going to solve the problem by using some simple trigonometry to get the required result of the…

Q: 1. From the picture below, determine the angle pair type listed. Angles 1 and 3 are Angles 1 and 5…

A: We need to choose the correct relation between angles.

Q: Two sides of a triangle have lengths respectively a and b, with e the included angle. Let A be the…

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Q: Note: Give the answer as a multiple of T. Do not use decimal numbers. The answer should be a…

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Q: Simılar triangles such that ARST ~ AUVW~AXYZ T. Find the values of sin Vand tan Y and drag your…

A: Given, ∆RST ~ ∆UVW ~ ∆XYZ   In  ∆RST   RS = 5 RT = 3 ST = 4  We have to find the value of sinV   and…