Given the triangle X= 17/ > Next Question 51° answer to 4 decimal places. X 21 a find the length of side x using the Law of Cosines. Round your final

Q: evaluate cos(sin-1(1/7pi))

A: The given expression is .The aim is to evaluate the given expression.Formula used:.

Q: Part B - Thinking and Investigation T-20 marks]|| -6 3л 2 -≤A≤27, and tan B = 313. T≤B≤ Determine…

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Q: If sin theta is equal to 4/5 find cos theta and tan theta

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Q: 1. What are the exact equations of these lines? 60° ++++ 135°

A: since you have posted multiple questions in this question which are not interlinked so i have solved…

Q: Let à = (1, -2) and 6 = (1,5). Find the angle between the vectors, in degrees.

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Q: A light aircraft was traveling 108 miles per hour straight and level when the pilot measured a…

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Q: Find the standard form of the equation of the ellipse satisfying the given conditions. Foci: (-5,0),…

A: To find the standard form of the equation of the ellise satisfying the given conditions.

Q: Could this be simplified any more?

A: The given polar equation:

Q: Enter the number that belongs in the green box. [?] 125% 32% 7 Round to the nearest hundredth.

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Q: Using the vector addition simulation, what is the actual velocity of the boat? What is the actual…

A: We have to find the velocity and actual direction of the boat.

Q: A red cross helicopter takes off from headquarters and flies 75 km at 65 degrees south of west.…

A: The objective of the question is to find the distance and direction the helicopter should fly to get…

Q: Station Cut End Area (ft2) 10+00 240 11+00 362 12+00 443 13+00 406…

A: The objective of this question is to calculate the volume of excavation between stations 10+00 and…

Q: . Give an equivalent rectangular equation: r = 2 cos 0

A: Since you have posted multiple questions and don't mention which question you want to be solved ,so…

Q: (b) (2, -3) Select the quadrant: O First quadrant O Second quadrant O Third quadrant o Fourth…

A: b) Point (2,-3)Here x is positive and y is negative so the quadrant is 4th.

Q: To approximate the length of a lake, a surveyor starts at one end of the lake and walks 245 yards.…

A: The given figure is

Q: C A 15° 120 ft B

A: In right angle triangle, the tangent of an angle is the length of the opposite side divided by the…

Q: If tan(x) tan(2x) = 7 26 (in Quadrant-I), find (Please enter answer accurate to 4 decimal places.)

A: ( in Quadrant - I ) .

Q: Solve the triangle. b = 7, c = 6, A= 50° a 5.57 (Round to two decimal place B≈ (Round to one decimal…

A: Note:-Since you asked multiple questions,according to our policy we can solve only first  question…

Q: Simplify the expression: Give the answer in exact form. sin(2008-¹(+)) cos

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Q: write the complex number in trigonometric form r (cos 0 + sin 0), with in the inteval [0°, 360°).…

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Q: Convert the Cartesian coordinate (5,6) to polar coordinates, 0 <0 < 2T r = Enter exact value. 0 =

A: To convert a rectangular co-ordinate (x,y) to polar form, use the following formulas

Q: For each vector, find the angle that the vector makes with the x-axis. Round your answers to the…

A: The objective of this question is to find the angle that each vector makes with the x-axis. This can…

Q: Use the vectors in the figure at the right to graph the following vector. 2v +u-3w Select the figure…

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Q: ay 05 60 m m. E R R 100 m B K * * £ D1C с 7,32 od A ansibizare delle

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Q: 8. Use mathematical induction to prove "for every positive integer n, n³ - n is divisible by 3".

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Q: If cot(x) sin(2x) = = 5 13 (in Quadrant-I), find

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Q: Which ordered pair is equivalent to (8, -40°)? Choose all that apply.

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Q: Verify the identity. 1 - cos(a) sin(a) 1 - cos(a) sin(x) sin(a) 1 + cos(a) 1 - cos(α) sin(a) 1- 1 +…

A: To verify

Q: Use de Moivre's Theorem to find the following. Write your answer in standard form [3(cos+ i sin )]³

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Q: Exercises 21-28: (Refer to Example 4.) Find the following. (a) sin(a + B) (b) cos (a + B) (c) tan (a…

A: Question No. (22): Given:  in quadrant IITo Find: To find the following:

Q: Find the standard form of the equation of the ellipse satisfying the given conditions.   ​Foci:…

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Q: An airplane is on final approach, following a 3⁰ glide slope, 5 miles (HORIZONTAL distance) from…

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Q: Apply each of the following transformations to P = (5, 3):  (a) Reflect across the x-axis, then…

A: If the point (x,y) is reflected across the x-axis then the new coordinate is given by (x,-y)If the…

Q: + 凡 2 1 -2+ Y 20

A: The graph is given as,

Q: Find all degree solutions for the following.  sin 15? = 1/2

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Q: The measures of two sides of a triangle and the angle opposite one of them are given. Determine the…

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Q: Prove the identity. (sin(x) + cos(x))² = 1 + sin(2x)

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Q: Using the Law of Sines to solve the triangle if ZA = 43°, ZC = 67°, b = 12: LB is degrees; a= C= You…

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Q: 3 = (in Quadrant-1), find 28 If cot(x) cos(2x) = (Please enter answer accurate to 4 decimal places.)

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Q: Convert Polar equation 4r cos(theta) + r sin(theta) = 8 to retangular

A: Given,

Q: Find the area of the shaded region. Figure is not to scale. 114° 6 m m²

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Q: 28. Change the polar coordinates coordinates (x, y). (a) (2, 135°) (r, 0) to rectangular (b)…

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Q: To project the construction of a new industrial estate specialized in sustainable manufacturing…

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Q: Find the dot product of the following vectors ủ and v. u • v =

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Q: Prove the identity tanx(cotx + tanx) = sec²x. Show all your steps, stating which identities you are…

A: tan⁡x(cot⁡x+tan⁡x)=sec2⁡x

Q: A light aircraft was traveling 108 miles per hour straight and level when the pilot measured a…

A: The objective of this question is to find the height at which the aircraft is flying. We can use the…

Q: Given cos(α)=7/9 and α is in quadrant IV, find the exact value of cos(α/2).

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Q: A toy car races along a circular track and is constantly 3 feet from the center of the race track.…

A: The diagram of the circular track is :-AB= radius = 3ft

Q: For triangle ABC, we are given that m/A = 54°, AB = 7.5 cm , and BC = 19 cm. We can use the Law of…

A: For triangle ABC, we are given that m/A = 54°, AB = 7.5 cm , and BC = 19 cm. We can use the Law of…

Q: 38. Use De Moivre's theorem to evaluate z if the trigono- metric form of z is z = 2(cos 45° + i sin…

A: The given trigonometric form is .The aim is to find the standard form.De Moivre's theorem:.