For the following, assume that all the given angles are in simplest form, so that if A is in QIV you may assume that 270°

Q: Suppose that a trigonometric curve is defined by the equation f(x) = 3-4 sin(2x + k)° 0≤x≤ 360°…

A: Given trigonometric Equation  f( x ) = 3 - 4sin( 2x + k )       0 ≤x ≤ 360°-90° ≤ k ≤90°

Q: 7. Write z = 6 - 6i in trigonometric form.

A: We need to write z=6-6i in trigonometric form.

Q: The value of a in the diagram is: A. 0.03 cm B. 13.35 cm C. 30.60 cm R. 765 cm

A: Arc length = (∅360)*2πr   Given  ∅=153°r = 5 cm

Q: What is the height of a prism with a base area of 1.25 square meters and a volume of 2.56 cubic…

A: given, base area=1.25 square meters given volume=2.56 cubic meters

Q: Find all six trigonometric functions of 0 if the given point is on the terminal side of 0. (If an…

A: Find all six trigonometric functions of θif the given point is on the terminal side of θ. The…

Q: Given the following Equation ¹(x) + 1 y = 2 tan

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Q: As you stop at a traffic light, a pebble becomes stuck in the tire treads. When you start off, the…

A: A) Sketch a graph of this function: It is given that the distance of the pebble from the pavement…

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A: Complete analysis of figure From figure we can write÷ x+86.6=180 x=93.4 Using property of triangle…

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A: AB=32+42=5sinθ=35cosθ=45tanθ=34

Q: Iftan A = √3, then A. A = +2km, k: integer OR B. A = ±+kπ, k: integer OR C. A = + kπ, k: integer OR…

A:

Q: a) Are these triangles similar? Explain 90 136 117 160 b) 300 90° 450 90%

A: Similar triangle have equal proportional sides and corresponding angles

Q: Write the equation of a sine or cosine function to describe the graph. EIN h HIN TU 11 ST l 2 Y

A: We use the given graph  General cos function is  y=Acos(Bx)+Dwhere A is the amphilitudeB is the…

Q: In Question 4  how is the calculation made for Sin M?  When I do the calculation I get a different…

A: We are using standard formula for sine rule.

Q: What is v − u

A:

Q: In ΔVWX, x = 1.5 cm, �m∠X=26° and �m∠V=71°. Find the length of v, to the nearest 10th of a…

A: In ∆VWX, x=1.5 cm, m∠X=26°,m∠V=71° Figure

Q: Data is given to represent the number of each of the types of clubs three different schools in your…

A: We find metrics representation of given data

Q: Use the two right triangles on the figure below to: y=55 60° Y X 30° a) Express the sine, cosine,…

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Q: The parabolic arch shown in the figure is 50 feet above the water at the center and 200 feet wide at…

A: The arch is at a distance 50 feet above the water  The width of the arch at the base is 200 feet.…

Q: Given r = 6i − 7j and s = −7i + 4j, what is r + s?  a 13i − 11j  b −13i + 11j  c i + 3j  d −i −…

A: given,  r=6i-7j  and  s=-7i+4j

Q: Determine whether each infinite geometric series diverges or converges.  If the series converges,…

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Q: Evaluate the following using any identities leaving an exact answer (use the insert math tool √ to…

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Q: Since sin O O tan 1/12 = 1-cos 8 1+cos 0 1 Cos 0 2 " as tan 1-cos 0 tan/2 = √ 1+cos 0 COS /= ± √ ||…

A: Given :sinθ2=±1-cosθ2cosθ2=±1+cosθ2

Q: 2) A plane departs from a small airport in the direction N30°E and travels for 50 miles. The plane…

A: Angle between vertical and line AB ( θ ) = 30°Length of line AB = 50 miles Length of line BC = 80…

Q: A pilot is flying over a straight highway. He determines the angles of depression to two mileposts,…

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Q: Use the Law of Sines to solve for all possible triangles that satisfy the given conditions. (If an…

A: We have to find the angle and measure of side. Foe this we will use sine law and then put values to…

Q: To find the distance AB across a river, a distance BC=313 meters is laid off on one side of the…

A:

Q: Given the following graph of a cosine Function Find 0 -1 -2₁ -3- 0 1/2 TT 3m/2 2TT 5/2 3TT 7171/2 4T…

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Q: Find the perimeter and area of a square if a diagonal length is 12 feet. DO NOT PROVIDE DECIMAL…

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Q: etermine the length of side QR in the following triangle: 13 cm 70 4 cm R

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Q: 2TT What are the equations of the asymptotes for the function Y = tan - where 0≤x≤ 4 4 O x = 0, 1,…

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Q: w, angle C = 90°. If AC = 75 m, find, what is the value of Zx in the diagram shown below dredth…

A: From figure  m∠x=m∠A ⇒m∠C=90° ,AC=75 m and BC=78.00 m

Q: = 50 6m Run 4. Claire is putting up patio lights. She rests a ladder against the house. For safety,…

A: Draw a schematic diagram of given figure.

Q: A function is given. h(t) = t2 + 4t; t = −1, t = 1 a. determine the net change between the given…

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Q: From a centerpunched starting point on a sheet of steel, a horizontal line segment 30.20 centimeters…

A: Horizontal distance between starting centerpunched point and 2nd centerpunched point is given as…

Q: 6 6. Use special right triangle relationships to find all missing sides: 45° 60° 42 n u 45% 171 W…

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Q: A hiker starts walking due west from Sasquatch Point and gets to the Chupacabra Trailhead before she…

A: Given, From the Chupacabra Trailhead she hikes for 7 miles along a bearing of N61°W which brings her…

Q: 5. f-2cscx dx

A:

Q: 6. Use the fact that the trigonometric functions are periodic to find the exact value of the…

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Q: 8) A box that weighs 866 pounds is suspended by two cables attached to a ceiling. Fin the tensions…

A: Given: Weight of box=866 pounds. Angle between rope=60°  We have to find the tension in the cable.

Q: Calculate the following limit (a) lim x→2 x²+4x-12 |x-2| √x-3 X-9 X-9 (b) lim

A: limx→2x2+4x-12x-2  x-2=x-2,    x≥2-x-2, x<2

Q: Analyze the polynomial function f(x) = x²(x + 2) using parts (a) through (e). www (a) Determine the…

A: “Since you have posted a question with multiple sub-parts, we will solve first three sub parts for…

Q: Vectors u and v are shown on the graph. 7 5 4 3 2 - -10 -1 -2 -5 -6 1 23 u 6 7 8 > 9 10 11 12 13 14

A: A) Write u and v in component form  B) Find u+ v  C) Find 5u-  2v.

Q: The vector CD has initial point C(1,-6) and position vector (1, 3). What is the terminal point D?…

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Q: Find all the solutions to sin 3x 1 2

A: We know that sine value negative third and fourth quadrant

Q: Find all solutions to the following triangle. (Round your answers for angles B, C, B', and C' to the…

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Q: Given the points F(-7, 1) and E(-2,-7), determine the position vector of EF. Select the correct…

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Q: 9) An airplane has airspeed of 400 mph in the north direction. The wind is blowing at 100 mph in the…

A: An airplane has airspeed of 400 mph in the north direction. The wind is blowing  at 100 mph in the…

Q: Two search teams spot a stranded climber between them on a mountain. The first team is 0.7 miles…

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Q: The HMS Sasquatch leaves port on a bearing of N20ºE and travels for 8 miles. It then changes course…

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Q: Solve the triangle. B=72° 12', c= 34 m, a= 78 m What is the length of side b? b= (Round to the…

A: