Calculating Arc Length Angle and Radius Assignment

Assignment Task

1. Given a sector with an arc length of 5 cm and a radius of 3 cm, find the angle subtended by the arc.
2. Given a sector with an angle of 5 radians and a radius of 7 m, find the arc length 
3. Convert between radians and Express answers exactly if possible, otherwise to a whole number of degrees or 3 decimal places for radians.
   • 180°
   • 5
   • 13°
   • π/7 radians
4. Determine the values of θ\thetaθ if 0≤θ≤2π0 \leq \theta \leq 2\pi0≤θ≤2π given that cos⁡θ=−0.3178\cos \theta = -0.3178cosθ=−0.3178.
5. Determine the exact values of θ\thetaθ if 0≤θ≤2π0 \leq \theta \leq 2\pi0≤θ≤2π given that tan⁡θ=−3\tan \theta = -\sqrt{3}tanθ=−3​
6. Determine the values of θ\thetaθ if −π≤θ≤4π-\pi \leq \theta \leq 4\pi−π≤θ≤4π given that sin⁡θ=−0.05\sin \theta = -0.05sinθ=−0.05
7. Why do radian measurements not have a unit indicated?
8. A given sinusoidal function has an amplitude of 8, an axis at y=12y = 12y=12, a period of 9π9\pi9π, and a maximum at x=3πx = 3\pix=3π. Determine an equation for the function, and find all intersections of the function and y=16y = 16y=16 between x=−5πx = -5\pix=−5π and x=12πx = 12\pix=12π.
9. Using electronic graphing tools, graph y=2sin⁡(3[x−4])+5y = 2 \sin(3[x - 4]) + 5y=2sin(3[x−4])+5 and y=2csc⁡(4x−3)−1y = 2 \csc(4x - 3) - 1y=2csc(4x−3)−1 on the same axes. Find all points of intersection of the two functions between −π-\pi−π and π\piπ, with answers to 2 decimal places. Include an image of the graphs in your response.
10. A given sinusoidal function has a period of 3, an amplitude of 7, and a maximum at (0, 2). Represent the function with a sine equation and a cosine equation. 
11. Provide a trigonometric equation. Considering only the space between x=0x = 0x=0 and 2π2\pi2π, the equation must only have solutions at x=1x = 1x=1 and x=2x = 2x=2. Explain your thought process and the work you did to create the equation. You may round decimal values to 3 places.
12. How many different sinusoidal functions can be written that have a period of 3π3\pi3π, an amplitude of 1, and a minimum at (2,3)?

This Mathematics have been solved by our PhD Experts at My Uni Paper. Our Assignment Writing Experts are efficient in providing a fresh solution to this question. We are serving more than 10000+ Students in Australia, the UK, and the US by helping them to score HD in their academics. Our Experts are well-trained to follow all marking rubrics and referencing styles.

Be it a used or new solution, the quality of the work submitted by our assignment experts remains unhampered. You may continue to expect the same or even better quality with the used and new assignment solution files respectively. There’s one thing to be noticed you could choose one between the two and acquire an HD either way. You could choose a new assignment solution file to get yourself an exclusive, plagiarism (with free Turnitin file), expert quality assignment or order an old solution file that was considered worthy of the highest distinction.