The Law of Cosines says that... a² = 6² +c² 2

Q: Suppose that π/2≤θ≤π, sin(θ)=2/10, find tan(θ)=______. (round to 3 decimal places)

A: Given:-sinθ=210π/2≤θ≤π

Q: x= et cos t y=et sin t given the parametric equation, solve its dy/dx and d2y/dx2

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Q: f sin\theta =-(1)/(2), then the reference angle for \theta =

A: given that   function                          sinθ =-12  as we know that sine is negative in third…

Q: Find the exact value of the function: arctan 1 0 품 -표 ㅅ

A: Value of tan(π/4) is 1

Q: 1. Solve the triangle given below C b Y 6 a B A . Based on the length of the sides opposite them,…

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Q: 18. If sin >0 and cos <0, then must be in quadrant (a) I (b) II (c) III (d) IV (e) none of these

A: Given  sinθ&gt;0  and cosθ&lt;0

Q: When multiplied out, what are the first 4 terms of (x + 3y)'"?

A: Here we have to find the first four terms of x+3y10

Q: Solve the triangle given the following information: a. a = 34°, B = 71°, a = 24 b. b = 3.4, c = 2.8,…

A: We have to find the remaining sides and angles of the triangle.

Q: Define the six trigonometric function of the acute angle 0 based from the figures below. Write your…

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Q: ● From a point A the angle of elevation of a post is 460 10' while from a point D, 50 meters from A…

A: Note- As per our guidelines we have to answer only first question if multiple questions are…

Q: = tan (^-^) = - tan (7)

A: Note:sinθ  is positive only when θ lies in 1st and 2nd quadrant.cosθ is positive only when θ lies in…

Q: 14 Dections Drag and drop the correct answer choice to each answer blank. (zh)²+(y-k)² = ² 11 (-k)…

A: Here we have Drag and drop to match the shape made by the interaction of the double-napped cone and…

Q: With respect to the given angle of a right triangle, what is the ratio of the opposite side to the…

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Q: Use the dot product to find the magnitude of u if u = 5i + 6j.

A: Given query is to find the magnitude of vector u.

Q: 1. Solve for the measure of angle A in the figure below. 33 25 C 11 B 2. Solve the triangle if b =…

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Q: Suppose that π≤θ≤3π/2, tan(θ)=6/12, find sin(θ)=______. (round to 3 decimal places)

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Q: 25. Solve the equation 2 sin² = sin 20 in the interval 0≤0 < 2T.

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Q: 2. What is the exact value of cos (22.5°) using the half-angle identities? O √2+√2 √2-√2 O √2-√2 O…

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Q: Given the rectangular coordinates (-3,2) determine (r,θ). What is θ=______. (in degrees, round to 1…

A: This question is based on conversion of rectangular coordinates to polar coordinates.

Q: 8. Find the first six terms of the recursively defined sequence: a₁ : 0, an = (an-1)² +3

A: topic- sequence and series

Q: Add-onS Heip was ye aday.. Background Layout - Theme Transition 3. Solve for x. All your work needs…

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Q: 2. An auditorium has 20 seats in the first row, 24 seats in the second row, 28 seats in the third…

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Q: Simplify each power of i. Use either i, −1, −i or 1.      a. i12 =       b. i13 =       c. i14 =…

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Q: 37 30 5. 50 100% 25

A: We have to determine x

Q: A vector F represents a force that has a magnitude of 8 lb and π/3 is the radian measure of its…

A: solutions:-(a)force, F=8 lbangle, θ=π/3distance along the x -axis from the origin to the point (6,…

Q: Find the magnitude of vector v. 1 X + + 1 2 4 (4,-3) -2+ -3+ -4 -5 - ليا 3 5

A: To find the magnitude of the given vector v .

Q: Determine the specific solution to the following Trigonometric Equation, where 0sx s 2n:…

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Q: Give the range for the function using interval notation. For all real numbers, type the words "all…

A: To give the range of the given function.

Q: 21. If in a triangle A = 20°, a = 2, and b = 1, then B = (a) 0.17° (b) 9.8° (c) 170.2° (d) b & c are…

A: topic- law of sines

Q: II. Find the measurement of each angle indicated. 1. What is the measurement of LU? U T ? 50° 120⁰ R…

A: Let's find angle U.

Q: 27-j+4k sī +2j-2k.

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Q: X₁ 2. 20 125 5 3. 25 95

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: A golfer hits an errant tee shot that lands in the rough. A marker in the center of the fairway is…

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Q: 7. Find m L.A. Round off your answer to the nearest tenth. b.) 13 A 27 B 17 B 95 43 27

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Q: 11. What is the equation of the asymptotes for the tangent function shown in the graph below? 10.0…

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Q: answer. 1. The angle of elevation of the top of the building is 50° If the observer is 90 m from the…

A: We have to solve given Questions.

Q: Determine the value(s) of ? such that the vectors [5, ?, −8 ] and [3, ?, ?] are perpendicular.

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Q: 5) 2√√3 cos sin 0 - cos 0 = 2cos 0

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Q: Solve the equation in the interval [0, 27). (b) tan 2 + 2 sin(2x) CSc x |

A: Solution is given below:

Q: Prove the following useful trigonometric identities: (a) cos(a + 3) = cos(a) cos(3) - sin(a) sin(3)…

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Q: For what values of λ does the equation λ cos 2x 2 cos 2x-1 have real solutions? λ + sin x (cos²x-3…

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Q: Answer the ff: Find the values of x in 4 cos2 x = 1

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Q: 4. tan²B + 1 = sec² B

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Q: Suppose A = 4i − 6j, B = i + 7j and C = 9i − 5j. Find (a) scalar projection of A onto B (b)…

A: We know that The scalar projection of A on B is  A.B|B| vector projection of C onto A is A.C|A|2A

Q: cos Ꮎ + 1 sin 8+ cos 8-1 and B- sec 0 + tan 0. If tan 10x cot 5x then find the value of x. Prove…

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Q: Powers of trigonometric functions are rewritten to be useful in calculus. Verify the identity.…

A: Solve the following

Q: A rectangle is placed around a semicircle as shown below. The width of the rectangle is 8 cm. Find…

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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,...

Q: 8. The equation of parabola with vertex (0,0), passing through (-2,8) and axis that coincides with…

A: Note:-  In the given questions No. 7 is incomplete because in this option(a) is missing + and -…

Q: 14. Use appropriate double angle formulas to rewrite sin* in terms of the first power of the cosine.…

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