All SAT II Math II Resources
Example Questions
Example Question #1 : Sine, Cosine, Tangent
Find the value of in exact form.
Recall that:
This means that:
Divide the two terms.
This means that .
The answer is:
Example Question #1 : Sum And Difference Identities For Tangent
According to the trigonometric identities,
The trigonometric identity , is an important identity to memorize.
Some other identities that are important to know are:
Example Question #11 : Trigonometry
The degree angle can be expressed as what in radians?
In order to convert degrees to radians, we will need to know the conversion factor.
Set up a dimensional analysis to solve.
The answer is:
Example Question #12 : Trigonometry
Which of the following angles belong in the fourth quadrant?
The fourth quadrant is in the positive x-axis and negative y-axis.
The angle ranges are:
The only possible answer is:
Example Question #11 : Trigonometry
What degree measure is equivalent to ?
Every pi radians is equal to 180 degrees.
Replace the pi term with 180 degrees and multiply.
The answer is:
Example Question #14 : Trigonometry
A triangle has sides that measure 10, 12, and 16. What is the greatest measure of any of its angles (nearest tenth of a degree)?
We are seeking the measure of the angle opposite the side of greatest length, 16.
We can use the Law of Cosines, setting , and solving for
:
Example Question #461 : Sat Subject Test In Math Ii
A triangle has sides that measure 15, 17, and 30. What is the least measure of any of its angles (nearest tenth of a degree)?
We are seeking the measure of the angle opposite the side of least length, 15.
We can use the Law of Cosines, setting , and solving for
:
Example Question #2 : Law Of Cosines
Given : with
.
Which of the following whole numbers is closest to ?
Apply the Law of Cosines
setting and solving for
:
Of the five choices, 27 comes closest.
Example Question #4 : Law Of Cosines
Given : with
.
Evaluate to the nearest tenth.
The correct answer is not given among the other responses.
Apply the Law of Cosines
setting and solving for
:
Example Question #5 : Law Of Cosines
In :
Evaluate the length of to the nearest tenth of a unit.
The figure referenced is below:
By the Law of Cosines, given the lengths and
of two sides of a triangle, and the measure
of their included angle, the length
of the third side can be calculated using the formula
Substituting ,
,
, and
, then evaluating:
Taking the square root of both sides:
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All SAT II Math II Resources
