a) Given that 13* = 41 (mod 713), find 13°, 13, 13 (mod 713). Your answers should be of the form z, where 0

Q: In Figure 1.8, medians BY and CZ have been drawn in isosceles triangle ABC with base BC. Show that…

A:

Q: Prove: If AC [0, 1] and m* (A) > 0, then there exist x and y in Problem 1 A such that x - y) is an…

A:

Q: Given: ZHGI = LJIG, HG = JI a. Prove: AHGI = AJIG

A: Given : ∠HGI ≅ ∠JIGHG≅JI

Q: 73. Use De Moivre's theorem to show that 2( cos + isin 9. is a cube root of 8 cos 9 + isin- 3

A: De Moivre’s theorem is (cosθ+isinθ)p=cospθ+isinθ We have to prove that:…

Q: If AABC having vertices A(a cos 8₁, a sin 8₁), B(a cos 0₂, a sin 8₂), and C(a cos 03, a sin 83) is…

A:

Q: Given 20= ZR, ZP= ZS, OP= RS, is there enough information to prove AOPQ=ARST Using AAS? O No, you…

A:

Q: Suppose that an airplane is asked to stay in a holding pattern near an airport. The distance of the…

A: Find the attachment for the Solution.

Q: .. Two ways to find the value of x are started below. Using tan 40°: Using tan 50°: 27 tan 40° = tan…

A: Given 2 ways to find the value of x using tan 40o definition and tan 50o to find the values of x. We…

Q: Use the addition formula to prove cos 30 = 4cos3 0 - 3 cos0

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Q: Given The for Taylw Seni 1-x +x²-x³+ .eer %3D %3D Oltaii The Seris for Seven lalixl 7メリツ

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Q: Show that the following equation has a solution on (4,8). 2-53 sin()

A: To Show: The equation 2x-5=3 sinπ x8 has a solution on (4, 8).

Q: If the L[ eat cos2t] = (s-a)/( s2 - bs +31), determine the value of a.

A: Some of the formulas of Laplace transform Leat=1s-aLcosat=1s2+a2Leatcosbt=s-a(s-a)2+b2

Q: A, = AP, cos (lot + 20) Az=APz sin (lot - 40) when A, lagS A, by 210, since A, may be written as :-…

A: If, X=B1sinωt and Y=B2sinωt-θ, then, it can be said that Y lags X by an angle θ .

Q: 2. Use the Chakravala and then Brahmagupta's identity to find two solutions, other than (1,0), to…

A: Chakravala algorithm is one of the crowing achievement of Indian mathematicians. An algorithm which…

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: Let sin A = with 270° SAS 360°, Find 13 sin 2.

A:

Q: 2. (- 5 i 3-2i,

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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: or the following, assume that all the given angles are in simplest form, so that if A is in QIV you…

A: Given: sinB=-15 and B is in QIII

Q: Find a positive angle less than 360 that is coteminal with the given angle. 705° A positive angle…

A:

Q: a) 6(sin15degrees)(cos15degrees) b) sin(7pi/12)sin(13pi/12)-cos(7pi/12)cos(13pi/12) evaluate each…

A: Part a,          6sin15°cos15°We know that,         The double angle trigonometric formula is given…

Q: Suppose Theta belongs to Aut(Zn) and a is relatively prime to n.  If Theta(a)=b, determine a formula…

A:

Q: Find the legend re polyromial of 1-24 Ca , E1,i7 Fx) = - 3 - 3 SinlTx) -I los () -E Cu Pn(x) %3D

A: Given fx=-3-3sinπx-cosπx2

Q: 4.] Find PIAJ if A = Co,bicd)

A:

Q: 7. In AABC, mZC = 90, AC = 6, and AB = 10. Find tan A.

A: Solution-

Q: Which of the following correctly expresses 2sin(2β)cos(4β) as a sum?

A: Question is solved.

Q: Find a positive angle less than 360 degrees that is coterminal with the given angle. 10Pi/3

A: Two angles in standard position with the same initial side and same terminal side are called…

Q: Select ALL the true statements regarding this triangle. C 13 4 A В O tan(8) = 13 O tan(6) = 4 %3D 13…

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Q: A convex quadrilateral has area 30 and side lengths 5, 6, 9 and 7, in that order. Denote by θ the…

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Q: 5. What is the smallest positive degree measure equivalent to tan (3.27)? 107° 0° 73° O 97°

A:

Q: The diagram below shows AABC, with AEE ADC, and ZACB LAED. Prove that AABC is similar to AADE. 11 YD

A: We have to prove  traingle ABC is similar to traingle ADE.

Q: Find all solutions to cos(70) cos(p) = sin(40) on 0 ≤ ø Give your answers as a list separated by…

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Q: if z1= 3(cospi/12 + isinpi/2) z2= 2(cos7pi/12 + isin7pi/2) what is z1/z2?

A:

Q: Find a positive angle less than 360° that is coterminal with the given angle. 630° A positive angle…

A: Coterminal angle with 630° and less than 360°.

Q: 5) Find the exact Value of each trigonomețric Tunction Show answers In fractie Sin0° = 90 60 Cos30°…

A:

Q: Find the three cube roots of 8(cos 264° +j sin 264") and state which of them is the principal cube…

A: Given - 8cos 264° + jsin 264° To find - Find the three cube roots of 8cos 264° + jsin 264° and state…

Q: Select Cor for the blank so that the resulting statement is true. (5,1,2) ) (1,25) Choose the…

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Q: Find the four fourth roots of z = 81 ( cos 4pi/3 + isin 4pi/3 ). write each root in standard form

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Q: Find theta, 0° ≤ ? < 360°, given the following information. cos theta= - sqaure root 3 over 2 and…

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Q: B. Using Fermat's Theorem •Determine all solutions of the equation 6x = 18 in Z24. •Describe all…

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Q: 13 Evaluate tan B given that cass = 7 Where 37 <p く20 2.

A: As we know that; The trigonometric identities: 1). sin2θ+cos2θ=12). tanθ=sinθcosθ Given; cosβ=32

Q: ARHS AUHP because of S. P.

A: Complete the statement of congruency.

Q: Find the three cube roots r1, r2 and r3 of 8(cos 264° + j sin 264°). Express all arguments in…

A: We have to find out cube root of unity for given complex number.

Q: Express each of the following in the form a + bi. 4. cosh(1-12)

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Q: If sinθ=12/13, what does tanθ=?     51/2   12/5   5/13   13/12

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Q: ía) Given that z cos) + isino, show that z" + z" = 2cosn0 and z"- z" = 2isinno. Hence or otherwise,…

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Q: Which two sides must be congruent in order to prove the triangles congruent by SAS? (Select two) D A…

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Q: For question 10, show that the conjecture is fa provided. 10. Every day of the week has the letter r…

A: A mathematical statement is false only requires finding one example where the statement isn't true.…

Q: let us assume that /3 is a rational number .show that V3 = where a,b are co – primes b

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Q: Given cos(C) = cos(N) in AABC and ALMN, select all of the true %3D statements. 7.

A: Now,  we will find the true statements.

Ratios

A ratio is a comparison between two numbers of the same kind. It represents how many times one number contains another. It also represents how small or large one number is compared to the other.

Trigonometric Ratios

Trigonometric ratios give values of trigonometric functions. It always deals with triangles that have one angle measuring 90 degrees. These triangles are right-angled. We take the ratio of sides of these triangles.