MATH 1090 Algebra and Trigonometry
Problem Set 7 - Questions

1. Without using a calculator, find the exact values of all six trigonometric ratios (sine, cosine, tangent, cosecant, secant and cotangent) for the angle whose measure is
   1.   13p/3
   2.   -p/6
   3.   1003p/4

2. Without using a calculator, find the exact value, in simplified form, of
   1. 
   2. 

3. Without using a calculator, find the exact values of the other five trigonometric ratios, given that
   1.   sin x = -3/5   and   x is in the fourth quadrant.
   2.   tan t = 12/5   and   p < t < 3p/2.

4. [Challenge Question:]
   Given that the exact value of sin 15° is   find the exact values of
   1.   cos 75°
   2.   sin 75°
   3. 

5. Sketch the graphs of
   1.   y = sin 2x
   2.   y = cos (t - p/4)
   3.   y = cot^-1 x

6. Where possible, evaluate the following without using a calculator.
   1.   tan^-11
   2.   cos (cos^-12)
   3.   sin^-1 (sin (7p/6))

Also:   Try the questions from exercise sets 5.1 to 5.7 of the textbook.
The solutions to this problem set will appear elsewhere on this web site.

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[Problem Set & Quiz Solutions]