All SAT II Math I Resources
Example Questions
Example Question #1 : Secant, Cosecant, Cotangent
If and
, what is the value of
?
Since cotangent is positive and sine is negative, alpha must be in quadrant III. then implies that
is a point on the terminal side of alpha.
Example Question #11 : Trigonometry
If and
, then which of the following must be true about
.
Since cosecant is negative, theta must be in quadrant III or IV.
Since tangent is positive, it must be in quadrant I or III.
Therefore, theta must be in quadrant III.
Using a unit circle we can see that quadrant III is when theta is between and
.
Example Question #11 : Trigonometry
The point lies on the terminal side of an angle in standard position. Find the secant of the angle.
Secant is defined to be the ratio of to
where
is the distance from the origin.
The Pythagoreanr Triple 5, 12, 13 helps us realize that .
Since , the answer is
.
Example Question #1 : Secant, Cosecant, Cotangent
Given angles and
in quadrant I, and given,
and
,
find the value of .
Use the following trigonometric identity to solve this problem.
Using the Pythagorean triple 3,4,5, it is easy to find .
Using the Pythagorean triple 5,12,13, it is easy to find .
So substituting all four values into the top equation, we get
Example Question #1 : Secant, Cosecant, Cotangent
Find the value of the trigonometric function in fraction form for triangle .
What is the secant of ?
The value of the secant of an angle is the value of the hypotenuse over the adjacent.
Therefore:
Example Question #1 : Secant, Cosecant, Cotangent
Which of the following is the equivalent to ?
Since :
Example Question #2 : Secant, Cosecant, Cotangent
For the above triangle, what is if
,
and
?
Secant is the reciprocal of cosine.
It's formula is:
Substituting the values from the problem we get,
Example Question #1 : Sec, Csc, Ctan
For the above triangle, what is if
,
and
?
Cotangent is the reciprocal of tangent.
It's formula is:
Substituting the values from the problem we get,
Example Question #2 : Sec, Csc, Ctan
Determine the value of .
Rewrite in terms of sine and cosine.
Example Question #26 : Trigonometry
Evaluate:
Evaluate each term separately.
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All SAT II Math I Resources
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