WorksheetsHalf Angle, Double Angle, Sum/Difference Concepts
Total questions: 10
Worksheet time: 23mins
If the terminal side of an angle θ is located in QI, then cos(2θ) will be:
Positive
Negative
Positive or negative
Undefined
The terminal side of an angle β is located in Quadrant IV and
0°<β<360°
tan(2β) must be:
Positive
Negative
Can't tell
Could be positive or negative
To find an exact value for the expression: sin(67.5°) , you should use
The double angle formula
The half angle formula
A sum/difference formula
Just put it in your calculator because it gives you exact answers.
Choose all appropriate answers:
Using your calculator to double check that your exact value is correct is
A good strategy to use if you have the time
time well spent as long as you're careful when entering your expression
not necessary because your calculator gives exact values
a nice trick to helping you find out if you made any little mistakes along the way
In the expression: 3+cosx3−sinx
the 3s can be cancelled from the numerator and denominator.
True
False
Which angle measure can't be evaluated using a trig function with the sum/difference formula?
105°
15°
165°
10°
2+3 is equal to
5
6
Can't be simplified
3.1462643
The terminal side of an angle α is located in Quadrant III.
If 0°<α<360°
then cos(2α) must be:
Positive
Negative
Can't tell
Could be positive or negative
Choose all correct answers: If the terminal side of an angle θ is located in Quadrant I, then sin(2θ) could be:
Positive if 0°<θ<90°
Negative if 360°<θ<450°
Negative if 0°<θ<90°
Positive if 360°<θ<450°
Rewrite the angle 85π as if you were going to use the half angle formula.
45π
245π
810π
22.5°
