Use the exact value of cos (11π/6) and the half-angle identity for sine to show that an exact value of sin (11π/12) is given by √2−√3 /  2. (The square root before the 2 extends over the top of the whole numerator)

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A: Here we have to form the polar equation.

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A: Let's find.

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Q: QUESTION 3 Determina cuál de los siguientes pares de vectores son ortogonales. + = - 2i+j, →= 9i +3j…

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Q: Directions. Write TRUE if the statement is correct, FALSE if not correct. 1. The sum of the measures…

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Q: [2 Find x so that the equation is truel 6 0 L2 3 3 71 9 0 0 6 51 -3 T-1 4 9. 39 -6 12 -11 -1 x 37 -5…

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Q: D. Expand the geometric series. Enter your answers separated by commas, with no spaces. 2 2*-1 k= 1

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Q: What ordered pair is a solution to the following system of equations? x + y = 12 xy = 35

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Q: 1. What is the length of side b? A 75° B. 4.

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Q: Assume that cos\theta =-(1)/(3) and \pi <\theta <(3\pi )/(2),  find the exact value of cos(\theta…

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Q: 16.11 The expression tan e sec e (1- sin e) / cos e simplifies to c) tan e a) sin 0 b) cos e d) sec…

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Q: QUESTION 2 Determine cuál de los siguientes vectores es paralelo a i = –4i – j+5k ū = -2++ +* += -…

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Q: pairs

A: We will find the pairs of intersecting chords.

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Q: (ii) Prove the identity (2 - 2 cos 0) (sin 0 + sin 20 + sin 30) -(cos 40 - 1) sin 0 + sin 40 (cos 0…

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Q: Find the two square roots for the following complex number. Write your answers in standard form.…

A: Given problems:- A) -16  B) 1+i√3  To find:- Two square roots of given complex numbers

Q: If 45° + 30° = 75°, then use the sum formulas for sine and cosine to find the exact value of…

A: Given; 45+30=70 Find Sin(75) and Cos(75).

Q: Calculate the value of (1+ 2i)² and then use this value to find the roots of z-z+(1- i) = 0. (1+…

A: At first we find the value of 1+2i2   and then we find the roots of the equation z2-z+1-i =0. 1+2i2…

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Q: Triangle Inequality Theorem: For each of the following, tell whether it is possible to form a…

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Q: b. In AGOD, where LG is 120°, the side opposite 20 is 353 inches and ZD is 36°. What are the…

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Q: 2.) The ratio of the length to the width of a golden rectangle is (1 + V5) : 2. Given the length of…

A: This question is based on rationalization.

Q: Given that |? | = 5 and |? | = 6 and the angle between ? and ? is 60° a) Find ? ∙ ? b) find the…

A: This question is based on dot product. a.b = |a||b|cosx.       Where, x is angle between a…

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A: Here, to use the table values to find whether the given functions are linear, quadratic, or…

Q: Ex. 2: To model decay, we subtract the decay rate from 1. This gives us the decay factor.

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Q: How many diagonals can be drawn from one vertex of a 7-sided polygon?

A: Given,            7 sided polygon.To find : How many diagonals can be drawn from one vertex of a…

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Q: B. For number 4, perform the division and simplify. 1-sec x 4. 1+sec x 5 tan x 10 tan x

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Q: ACTIVITY 2. SOLVE FOR THE UNKNOWN. Direction: Apply the Hinge Theorem and its Converse to find the…

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Q: Create a table of values for each function, and graph them all on the same set of axes.

A: Given f(x)=2xg(x)=3xh(x)=(12)x

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Q: Find three solutions for this function: X-4 f(x) = %3D 2х-8 O (( x, y):(1, – X0, 1)(1, –)} O ((x,…

A: The given function is:fx=x-42x-8

Q: Find the exact values of the six trigonometric ratios of the angle 0 in the triangle. 25 24 sin 0 =…

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Q: 10. If sinB = –- with B with QIII, find the following. 3 csc B 2

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Q: 13 A, B and C are three towns. A lies 7 km north-east of B, and B lies 12:5 km north-west of C. Find…

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Q: r to triangle ABC, which is not necessarily a right triangle. = 6 km, b = 7 km, and c = 9 km, use…

A: Given query is to find the value of indicated angle.

Q: Find the area of the shaded region in the figure. (Round your answer to two decimal places.) 48.44…

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Q: Use the Pythagorean Theorem to find the length of the missing side.Then find.the indicated…

A: Given query is to find the value of indicated trigonometric functions.

Q: E) Find Possible Positive, Negative or Imaginary Zeros. f(x) = -2x³ + x² - 8x + 3 %3D Count the…

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Q: What

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Q: The solution is incorrect

A: To solve the following problem on triangles

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A: Given query is to find the exact value of the expression.

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Q: Find the area of each 1. A triangular field is 450 m on one side and 570 m on the other side. These…

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Q: Solve the following equations: (a) 2 sin 0 tan 0 – tan 0 = 1 – 2 sin 0 (b) sec 2 = COS 2 |

A: We know, Sec(θ)= 1/cos(θ) cos(2nπ)=1 and cos((2n+1)π)= -1 for n=0,1,2,...