5.3 The Unit Circle
The Unit Circle is a circle graphed on the coordinate plane with a center at the
_ and a radius of _.
The unit circle is extremely important in trigonometry.
The equation of the circle is _.
Every point on the
College Algebra/Trigonometry Weekly #6
This Weekly Sheet is for 10/12/15-10/16/15 and is due on FRIDAY October 16th!
If you do not show any work for a problem then you will not receive any credit for that problem. Please circle your final answer!
Unit Circle HW #1
Directions: Let be a real number and let P=( x , y ) be a point on the unit circle
that corresponds to . Determine which quadrant each point is located in, and then
find the exact value of the six trigonometric f
5.6 HW #2
1. Write an equation for a secant function that has an amplitude of 10, a midline of
y=3 , and a period of 16 .
2. Write an equation for a cosecant function that has a max value of 12, a midline of
y=6 , that has been sh
Quadratics Unit Test
Factor each completely. If prime write prime.
m 9m + 8
6x + 13
3) 7 t 2 2t + 21
2y + 8
5) 7 k 2 + 9k
7) 8 x 3 + 27
9) 25 x2 + 16 y 2
72 y 2 r
2) 2 x 2 +
4) 4 y2
6) 28 n4
16 n 2
8) m3 1
10) 2 x 2 r
JRAHS 2006 TRIAL HSC - EXT I
Solve for x:
The point P divides A(1, 5) and B(3, 2) in the ratio r : 1.
Find the coordinates of P in terms of r.
cos 2h 1
Find the value of r when th
JRAHS 2005 TRIAL HSC EXTENSION I
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If P ( x) = x 3 2 x 2 + ax + 4 is divisible by ( x + 2) , what is the value of a ?
ln(cos 2 x)
tan 2 x dx
Hence evaluate exactly
e 3 x d
(a)(i) Find the derivative of x 2 cos x .
(ii) Evaluate 2
1 x +4
(b)(i) Sketch y = x + 1 .
(ii) Hence or otherwise solve x + 1 = 3 x .
(c) If f ( x) = 2 sin 1 (3 x ) , find
(i) the domain and range of f ( x ) ,
(ii) f ,
JAMES RUSE AGRICULTURAL HIGH SCHOOL
(a) Find the perpendicular distance from the point ( 1,4 ) to the line 4y = 3x 2 .
(b) Fully factorise 2x3 128 .
(c) Differentiate with respect to x :
y = sin 2x
y = loge