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1. Making Conjectures

1) Sketch the come with a very small angle, keeping in mind that the last height is constant. Describe the

effect on the radio and height of the come

b) the one with very large angle leping in mind that the last height is constant Describe the effect

as the ads and height of the came

Make a conceding which type of angle would create a larger volume utify your The

the com referit

Fig: 1


Most Viewed Questions Of Trigonometry

3. Darcy mounted a motion sensor so it would light a path to the door on her deck. If you know AB = 10 feet, and BE and BD trisect ZABC, what is the perimeter of the deck area to the right of the beam of light (ABDC)? Part 1: What other angles or sides of ABDC can you label given that side AB is 10 feet,BE and BD trisect ZABC? Label the diagram accordingly, and explain your reasoning. (4points) Part 2: Use the trigonometric ratios 30° and 60° to calculate and label the remaining sides of ABDC. Show your work. (3 points) Part 3: Use the Pythagorean Theorem to calculate the length of side BD. Does this method verify the length you found using trigonometric ratios? (2 points) Part 4: What is the perimeter of the area to the right of the beam of light on Darcy's deck(ABDC)? Show your work. Use your calculator to round your final answer to the nearest foot. (3 points)


Measuring Triangles Learn by Doing Activity Understanding the connection between Right Triangle Trigonometry and the Unit Circle by measuring and physically manipulating right triangles within a circle of radius 1 decimeter. This activity is optimal if you print the page with the One Decimeter ruler and six triangles on colored card stock paper. However, it will also work if all pages are printed on standard printer paper. 1. Print out one copy of each of the following pages. 2. Carefully and accurately cut out the One Decimeter ruler and the six right triangles. 3. Grab a pen or pencil, a calculator, and a straight edge if you have one (not required, but useful). 4. Now you are ready to follow along with the video guide.


Learning Target AT2: I can verify a trigonometric identity. Verify each identify below. Begin with only one side and work to the other, as in class, the textbook, and the homework. All arguments must be 100% notationally correct, with equals signs along each line. Any omissions or errors on this element will result in an N grade. The derivation of the identity must use correct algebra throughout and result in a correct answer. 1. 2. sec a cot x + tan x 1 - 2 cos²0 sin cos = sin x = tan cot 0 Learning Target AT3: I can solve trigonometric equations giving all possible answers on a specified domain. Solve each of the following equations, providing the answers as requested. 1. Solve and give all solutions in the interval [0, 27) sin x 2 sin x cos x = 0 2. Solve and give all solutions in the interval [0, 27) cos x 1 = √3 sin x


. Determine the exact value of each trigonometric ratio. Rationalize all ratios. \text { d) } \cos \left(\frac{25 \pi}{6}\right) \text { b) } \tan \left(60^{\circ}\right) \text { c) } \cos \left(-\frac{5 \pi}{4}\right) \text { d) } \cot \left(-120^{\circ}\right)


a) Choose a point in the 3rd quadrant, that will represent a point on the terminal arm of an angle, 0 in the standard position. Determine the measure of 0 in both radians and degrees. b) Calculate the value of 0 + 2. Determine the coordinates of the point on the new terminal arm.


10. A light in a park can illuminate effectively up to a distance of 100 m. A point on a bike path is 150 m from the light. The sight line to the light makes an angle of 23° with the bike path. What length of the bike path, to the nearest metre, is effectively illuminated by the light? Show all steps to receive process marks. 23° 150 m Bike Path


4. The boom of a crane can be moved so that its angle of inclination changes. In one location, close to some buildings and some overhead power cables, the minimum value of the angle of inclination is 30°, and the maximum value is 60°. If the boom is 10 m long, find the vertical displacement of the end of the boom when the angle of inclination increases from its minimum value to its maximum value. a) Express your answer in EXACT form using your special triangles. Show all work to receive process marks. Ⓒ b) Express your answer in approximate form, to the nearest tenth of a metre. УА 10 m 60° 30° vertical displacement Уг 10 m x


A pole is supported by two guy wires, as shown. One wire is attached to the top of the pole and the other is attached at the midpoint. a) Determine the height of the pole. b) How far from the base of the pole are the wires anchored?


A hydro pole is stabilized at its top by two guy wires of equal length, each of which makes an angle of 60°with the ground. The wires are secured to the ground at points that are 10 m apart and on opposite sides of the pole. What should the length of each wire be and how tall is the hydro pole? Express your answe rsusing EXACT values! (KN5)


You are the architectural technician for the firm designing a new building. You need to calculate the width for a parking lot that will surround a building based on customer specifications. The building that measures90 m by 60 m is to be built on the lot and a paved parking lot of uniform width will surround the building.The paved lot is to have an area of 9000 m. Answer the questions that follow.a) How wide is the paved area? Round to the nearest tenth of a metre. (AP7)