1. Which trigonometric tool can be used to find the length of side AB? 12 cm 43° 68° A A tangent ratio B sine law C cosine law D cosine ratio

Q: Use the sum-to-product identities to rewrite the following expression as a product.…

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Q: log₂ 288-=-=-log₂ 2

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Q: Solve the system of equations by converting to a matrix equation and using the inverse of the…

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Q: 2. If tan 0= x2, which of the following is correct? Defend your answer. a. cos e = 1/V(1+x^4) b. sin…

A: As per the guidelines I can solve only one question

Q: Find the area of the triangle specified below. a = 14 meters, b = 10 meters, c = 7 meters

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Q: 1: Find the length of side MN.

A: Given

Q: Write the given expression as an algebraic expression in x. tan(2 sin-1(x))

A: To solve the following problem

Q: For the following pair of vectors, find U · V. a.) U = −6i − 3j, V = −i − 2j   b.) U = −11i + 7j, V…

A: We can answer both the question in the following steps.

Q: Is (x+3) a factor of 2x2 + 7x + 3

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Q: Which set of ordered pairs represents y as a function of x? {(0, 0), (-1, -0.5), (-2, -1), (-3,…

A: We have to find which set of ordered pairs represents y as a function of x

Q: Solve the equation. Give a general formula for all the solutions. 2 sin x − 1 = 0 Select the correct…

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Q: Write an equation for each hyperbola. : 45. vertices at (0, 6), (0, -6); asymptotes y = ± ½ x

A: Given vertices of hyperbola is at (0,6) and (0,-6). Which indicate that given hyperbola is vertical…

Q: A) a B) b ²¹dx = √( + g(x)) dx, then A + √² g(x) dx is equal to x³+x A. -1 B. −1+In(5/2) C. 1 D. -1…

A: Given; ∫x2-1x3+xdx=∫Ax+gxdx   As we know that; ∫1ax+bdx=1alnax+b+C

Q: Find all angles ? between 0° and 180° satisfying the given equation. Round your answer to one…

A: Looking at the cosine graph, we can tell that the graph attains -3/7 at only one point in the…

Q: 27. 9Co

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Q: Use a power-reducing identity to rewrite the following expression below in terms containing only…

A: The given expression,      sin2x cos2x

Q: 4. The terminal arm of 0 is in the fourth quadrant. If cot 0 = -V3, then calculate sin 0 cot 0 –…

A: Let's find.

Q: B 11 с 137 X A

A: Given query is to find the value of x.

Q: 21. n n-1/

A: Please see the answer below.

Q: Z₁ Find the quotient of the complex numbers. Leave your answer in polar form. Z2 Z₁ = 24(cos 48° + i…

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Q: Find the component form of v if ||v|| = 6 and the angle it makes with the x-axis is 150°.

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Q: Find the 8th term of the geometric sequence: (1024a(b), 512a(3b), 256a(-96), 128a(276), ...} a8 s I

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Q: Find the exact value of sin 20, cos 20, tan 20, and the quadrant in which 20 lies. 9. sin 0 = , 0 in…

A: To find the exact value of sin 2θ, cos 2θ, tan 2θ, and the quadrant in which 2θ lies. sin θ=45, θ in…

Q: Given sin(a) = (with <a< T) and cos(8) = (with 0 <B < ), find sin(a + B). Give an exact answer as a…

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Q: Evaluate the summation below. 3 5 Σ8+) (3 + p²) p=0

A: Summation of series

Q: Find a positive angle less than 360° or 2n that is coterminal with the given angle. 117

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Q: Compute z -20 where z is the complex number 6(cos 70° + i sin 70°). (i) 6²º(cos 40° + i sin 40°) 1…

A: To compute z-20 where z is the complex number 6cos 70°+i sin 70°.

Q: 10. Given sin 0 = , what is tan 0? 2V6 a. 7. b. zV6 2V7 C. sV6 d. 12 9.

A: As mentioned question 10 is solved

Q: Given that tan x = of cot x and cscx. 2 3 and 90° < x < 270°, find the value

A: Given tanx=-23We know that,sec2x=1+tan2xsec2x=1+(-23)2 sec2x=1+49sec2x=139Taking square root on both…

Q: 2. Use determinants to calculate the area of the triangle with vertices (-1,2), (5,-3), and (4,4).

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Q: 2. Radius is 20; central angle is 30°

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Q: 10) 3 16

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Q: Divide. 6√3cis (7)÷3√5cis (5) Drag a value into each box to correctly express the quotient in polar…

A: cis(x)

Q: sec(x)+csc(x) tan(x)+cot(x)

A: Given sec(x)+csc(x)tan(x)+cot(x)

Q: Find the inverse of the matrix if i 59 47 30

A: Given matrix is 5947We know that for a matrix A=abcd, A-1=1ad-bcd-b-ca

Q: 1- cos 2x 1 a) sin 2x cot x

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Q: Consider the following. u = (6, 7), v = (2, 1) (a) Find u V. U V = (b) Find the angle between u and…

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Q: Find the area of the triangle having the given measurements. C=96⁰, a = 8 meters, b = 3 meters A≈…

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Q: Solve the system of equations by S-7x + 4y = = 0 8x5y = 190 (x, y) =

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Q: b) cos 2B

A: using  cos(2B)=cos2B-sin2B ....(1)

Q: Evaluate 1 1 1 + 55. 4 6 9 each sum. 2 27

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Q: 2. The unit vector in the same direction as (-6, 12) is

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Q: 5 1. If sec a with a in quadrant Il and cos B = with B in quadrant IV evaluate: 3 a) sin(a- B) b)…

A: If sec α=-52 with α in quadrant II and cos β=13 with β in quadrant IV, then to evaluate the…

Q: = 1/3 A = -1 0 Option 1 2 -1 [-2 4] and B = 3, find (AB)T -8- 5 [] Option 2

A: We can answer the correct answer as below.

Q: Using sum or difference formulas, rewrite the expression as a product of trigonometric expressions,…

A: The expression is given by sin165°-sin75° Formula Used: sinA-sinB = 2cosA+B2sinA-B2 To evaluate: An…

Q: Evaluate the determinant, using row or column operations whenever poss -3 5 12 7 -8 2 -1 14 4 4 9…

A: A detailed solution is given below.

Q: Solve the equation in the interval [0°,360°]. Give solutions to the nearest tenth, if necessary? 4…

A: Solving the problem by finding the value of theta.

Q: Use DeMoivre's Theorem to find the indicated power of the complex number. Write the answer in…

A: By using De Moivre's Theorem to find the indicated power of the complex number. To write the answer…

Q: Write the given expression as an algebraic expression in x. cos( cos 4») COS X)T SO

A: Recall:  cos (2x)=2cos2(x)-1 Given,  cos12 cos-1x

Q: What is the complex number z = -4√3+4i represented in polar form? Enter your answer by filling in…

A: