Brewer MAT270
HW1 - Chapter 1, Trig. Review
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1. Evaluate the following expressions.
Note: The answer must be given as a fraction, NO DECIMALS.

If sin(t) = 2/7 , and t is in quadrant II, then find
(a) cos(t) =
(b) tan(t) =
(c) sec(t) =
(d) csc(t) =
(e) cot(t) =

2. For each trigonometric expression A,B,C,D, E,
choose the expression from 1,2,3,4,5 that completes a fundamental
identity.

A. sin²x + cos²x               
B. sin x                                           
     cos x
C. tan²x + 1                     
D. cos x                          
     sin(x)
E. sin²x

1. cot x
2. tan x  
3. 1 − cos²x
4. sec²x
5. 1


3. Solve the following equation for "t" in the interval [0, 2 pi].
Note: Give the 4 answers as a multiple of pi. Do not use decimal
numbers.
                       sin²t = 3/4
Correct Answers:
• pi/3, 2pi/3, 4pi/3, 5pi/3

4. Solve the following equation for "t" in the interval [0, 2 pi].
Note: Give the 4 answers as a multiple of pi. Do not use decimal
numbers.
                       |tan(t)| = sqrt(3)

5. Solve the following for "t" equation in the interval [0, 2 pi].
Note: Give the 4 answers as a multiple of pi. Do not use decimal
numbers.

2cos²t−cos t −1 = 0
Correct Answers:
• 0, 2pi/3, 4pi/3, 2