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Trigonometry

3. Find the value of x and the measures of 21, 2, 23, and Z4 if some angles formed are related as shown in the diagram and / || m |n.

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Trigonometry

D. Sketch at least two full periods for the graph of y=2cos (4x -n)+3 on the grid below. Label the midline intercepts and the maximum and minimum points.

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Trigonometry

The range of the trigonometric function h(t) = asin(t)+d is [-16,–1]. Determine the values of a and dto the nearest tenth.[1]

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Trigonometry

\text { Given that } \tan \theta=\frac{3}{4} \text { and that } \pi \leq \theta \leq 2 \pi

\text { a) Determine the exact value of } \sin \theta \text { and } \sec \theta \text {. }

\text { Detenmiine the value of } \theta \text {, to the nearest hundredth of a radian. }

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Trigonometry

\text { If the point }\left(x,-\frac{5}{9}\right) \text { lies on the unit circle in the third quadrant, determine the exact value of } x \text {. }

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Trigonometry

If the point (-4, 2) lies on the terminal arm of an angle 0 in standard position, determine the exact value of

\csc \theta

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Trigonometry

\text { The measure of an angle } \theta \text {, drawn in standard position below, is } \theta=\frac{6 \pi}{5} \text {. The value of the reference }

angle, is

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Trigonometry

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.

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Trigonometry

a) Draw one of the primary trigonometric functions on the domain [0, 27]. Then also draw its reciprocal function.

b) List the locations of vertical asymptotes, locations of zeros, locations of minimums of your two functions drawn in 2(a).

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Trigonometry

a) Draw a sinusoidal function (not necessarily based on Sine), that has a(n):

Equation of axis greater than 1

Amplitude that is greater than 2

Period, P, where 0 < P <n

Phase shift of more than -2

O Determine 2 sinusoidal functions where

the first function has a parent function of f(x) = sin(x)

the second function has a parent function of f(x) = cos(x)

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Trigonometry

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)

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