Name: ___________________________
Date: __________________
Trig. HW - #16
Intro to BC Calc. Honors
Mrs. Scala/Mr. Modiano
Directions: Complete all the questions without a calculator unless specified otherwise in the question.
π
 11π 
 7π
 .
1) Evaluate: sin 
 as sin 
4
 12 
 6
2) If sin x =
4
π
, where < x < π , find the value of cos  x + π  .
5
2
π
π


3) Solve for x: sin  x   + sin  x   = 1, [0, 2π ]
3
3


π

4) Does y = sin  x + π  and y = cos  x   have the same graph? Justify algebraically.
2

5) Verify: sin(x + y) + sin(x – y) = 2(sin x)(cos y).
6) Solve: 2 sin  cos  +
2 cos  = 0; [ π , 2π ] NO CALCULATOR!
 π 
7) Solve: 6 sin2  = 3 sin ;   ,  NO CALCULATOR!
 2 2
8) Solve on the given interval with the use of a calculator: 9 cos2  + 2 = 9 cos ; [0, π ]
x

9) a.) Graph: f(x) = 1- x
x 2

if x < -2
if - 2 < x  1
if x > 1
For b –f, find the following:
b.) f(-4)
c.) f(-2)
d.) f(1)
e.) f(3)
f.) domain and range
__________________________________________________________________________
I firmly believe that any man's finest hour, the greatest fulfillment of all that he holds dear, is that moment when he has worked his heart
out in a good cause and lies exhausted on the field of battle – victorious. -
Vince Lombardi