Coterminal Angles and Quadrants
State the exact value of the cosine of 600 .
1/2
In the first rotation, what angle(s) have a cosine of 1/2?
60˚, 3000 .
State sin 45o
1/sqrt 2
How do you determine the sine of an angle on the unit circle?
It is the y value of the point represented on the circle.
Find a positive coterminal angle for -65˚
295˚, 655˚, ...
State the exact value of the sine of 1800.
0
In the first rotation, what angle(s) have a tangent of -sqrt 3 ?
120o , 300o
Evaluate cos 3300 .
sqrt(3)/2
What is the tangent of an angle on the unit circle?
The ratio of the y coordinate to the x coordinate.
Find a negative coterminal angle for 1350
-2250 , -5850, ...
State the cosine of 900
0
What quadrant(s) have positive cosine values?
Q I and Q IV
Evaluate tan 1350 .
-1
What is a co-terminal angle?
An angle that looks identical to another angle in standard position but whose terminal side has been rotated by a multiple of 360˚
In what quadrant is the angle 3150?
QIV
What ratio(s) are positive in Q II?
sine
What angles (in first rotation) have tangent equal to 1/sqrt 3 ?
300 an 2100
Evaluate sin - 600 .
-sqrt 3 /2
What is a degree?
A unit of measure that is equivalent to an angle that subtends an arc that is 1/360 th the circumference of a circle
In what quadrant is the angle -2400 located?
Q II
What possible values can you have for sine of an angle?
-1 <= sine <=1
What angles (in the first rotation) have sine
of -sqrt 3 / 2?
2400 , 3000
Evaluate tan 2700 .
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How do you draw an angle in standard position?
Its initial arm is on the positive x-axis and it is rotated counter clockwise to the terminal arm.