- General review:
- Reading from the textbook: Section 2.1 (pages 150–153).
- Exercises due August 29 Thursday:
- In which number quadrant are both coordinates positive?
- Write down a formula for the distance between
the points (
*x*_{1},*y*_{1}) and (*x*_{2},*y*_{2}) in a rectangular coordinate system. - If the two short sides of a right triangle have lengths 3 and 4, then what is the length of the hypotenuse?

- Exercises from the textbook due September 3 Tuesday on MyLab: 2.1.19, 2.1.21, 2.1.23, 2.1.25, 2.1.27, 2.1.31, 2.1.39, 2.1.41, 2.1.43.

- Circles:
- Reading from the textbook: Section 2.4 (pages 185–188).
- Exercises due September 3 Tuesday:
- Fill in the blank: The distance from the centre (or center) of a circle to any point on the circle is the _____ of the circle.
- Write down an equation in the variables
*x*and*y*for a circle whose centre is (*h*,*k*) and whose radius is*r*. (This will be an equation in which*x*,*y*,*h*,*k*, and*r*all appear.) - If
*x*^{2}+*y*^{2}=*r*^{2}is the equation of a circle in*x*and*y*, then what are the coordinates of the centre of the circle?

- Exercises from the textbook due September 5 Thursday on MyLab: 2.4.5, 2.4.9, 2.4.11, 2.4.13, 2.4.15, 2.4.17, 2.4.21, 2.4.23, 2.4.25, 2.4.27.

- Angles:
- Reading from the textbook: Section 7.1 (pages 518–526).
- Exercises due September 5 Thursday:
- If a central angle in a circle subtends an arc whose length equals the circle's radius, then what is the measure of that angle?
- How many radians is 360°?
- Fill in the blank with an algebraic expression:
In a circle of radius
*r*, a central angle whose measure is*θ*radians subtends an arc whose length is*s*= ___.

- Exercises from the textbook due September 10 Tuesday on MyLab: 7.1.11, 7.1.13, 7.1.15, 7.1.17, 7.1.19, 7.1.21, 7.1.23, 7.1.26, 7.1.35, 7.1.37, 7.1.71, 7.1.73.

- Right triangles:
- Reading from the textbook: Section 7.2 (pages 531–538).
- Exercises due September 10 Tuesday:
- Fill in the blank:
The sine of the complement of
*θ*is the ___ of*θ*. - If
*θ*is the measure of an acute angle in a right triangle, then what is the cotangent of*θ*as a ratio of the lengths of the adjacent leg, the opposite leg, and/or the hypotenuse? - If the secant of an angle is 3, then what is its cosine?

- Fill in the blank:
The sine of the complement of
- Exercises from the textbook due September 12 Thursday on MyLab: 7.2.9, 7.2.10, 7.2.11, 7.2.12, 7.2.13, 7.2.15, 7.2.17, 7.2.23, 7.2.27, 7.2.31, 7.2.33, 7.2.37, 7.2.39, 7.2.41, 7.2.43, 7.2.45, 7.2.57, 7.2.65.

- Special angles:
- Reading from the textbook: Section 7.3 through Subsection 7.3.2 (pages 543–546).
- Exercise due September 12 Thursday: Write down the exact values of the sine, cosine, tangent, cotangent, secant, and cosecant of π/6 (or 30°), π/4 (or 45°), and π/3 (or 60°). (This is 18 values to write down in all, which you might put into a handy table.)
- Exercises from the textbook due September 17 Tuesday on MyLab: 7.3.7, 7.3.19, 7.3.21, 7.3.32, 7.3.27, 7.3.29.

- General angles:
- Reading from the textbook:
- The rest of Section 7.3 (pages 546–549);
- Section 7.4 through Subsection 7.4.5 (pages 555–561).

- Exercises due September 17 Tuesday:
- Two angles that differ by one or more full turns are called ___ angles.
- If the six fundamental trigonometric functions
all have the same absolute values at
*θ*as at*α*and*α*is an acute angle, then*α*is the ___ angle of*θ*. - Which of the six fundamental trigonometric functions of
*θ*are positive when*θ*terminates in Quadrant III?

- Exercises from the textbook due September 19 Thursday on MyLab: 7.3.31, 7.3.33, 7.3.35, 7.4.11, 7.4.15, 7.4.17, 7.4.21, 7.4.31, 7.4.33, 7.4.39, 7.4.51, 7.4.53, 7.4.57, 7.4.59, 7.4.61, 7.4.75.

- Reading from the textbook:
- Circular trigonometry:
- Reading from the textbook:
- The rest of Section 7.4 (page 562);
- Section 7.5 through "Trigonometric Functions of Angles" (pages 566–570).

- Exercises due September 19 Thursday:
- Suppose that you start at the point (1, 0)
in a rectangular coordinate system
and move in the direction towards (0, 1) along the unit circle,
for a total distance
*t*. (This is the usual thing, not a trick question.) If you end at the point (*a*,*b*), express sin*t*, cos*t*, tan*t*, cot*t*, sec*t*, and csc*t*using only*a*and*b*. - Now instead of moving along the unit circle (with radius 1),
move along a circle of radius
*r*(but still centred at the origin). That is, start at (*r*, 0) and move along the circle in the direction of (0,*r*) for a total distance of*s*, and let*θ*be*s*/*r*. (This is again the usual thing for a non-unit radius.) Now if you end at the point (*x*,*y*), express sin*θ*, cos*θ*, tan*θ*, cot*θ*, sec*θ*, and csc*θ*using only*x*,*y*, and*r*.

- Suppose that you start at the point (1, 0)
in a rectangular coordinate system
and move in the direction towards (0, 1) along the unit circle,
for a total distance
- Exercises from the textbook due September 24 Tuesday on MyLab: 7.4.83, 7.4.87, 7.4.93, 7.5.11, 7.5.13, 7.5.17, 7.5.19, 7.5.23, 7.5.31, 7.5.33, 7.5.39, 7.5.41, 7.5.47, 7.5.49.

- Reading from the textbook:
- The trigonometric functions:
- Reading from the textbook: The rest of Section 7.5 (pages 570–575).
- Exercises due September 21 Tuesday:
- Most of the six trigonometric functions have a period of 2π; which two have a period of π instead?
- Consider the numbers 2 and 1/2. Which is in the range of the sine function, and which is in the range of the cosecant function?
- Out of 0, π/2, π, and 2π,
which is
*not*in the domain of the tangent function?

- Exercises from the textbook due September 26 Thursday on MyLab: 7.5.63, 7.5.65, 7.5.69, 7.5.81, 7.5.85, 7.5.87, 7.6.3.

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