All ACT Math Resources
Example Questions
Example Question #1 : Trigonometry
What is the tangent of C in the given right triangle??
Tangent = Opposite / Adjacent
Example Question #1 : Trigonometry
Consider a right triangle with an inner angle .
If
and
what is ?
The tangent of an angle x is defined as
Substituting the given values for cos x and sin x, we get
Example Question #2 : Trigonometry
Triangle ABC shown is a right triangle. If the tangent of angle C is , what is the length of segment BC?
Use the definition of the tangent and plug in the values given:
tangent C = Opposite / Adjacent = AB / BC = 3 / 7
Therefore, BC = 7.
Example Question #4 : Tangent
If the sine of an angle equals , and the cosine of the same angle equals
, what is the tangent of the angle?
The cosine of the angle is and since that is a reduced fraction, we know the hypotenuse is
and the adjacent side equals
.
The sine of the angle equals , and since the hyptenuse is already
we know that we must multiply the numerator and denominator by
to get the common denominator of
. Therefore, the opposite side equals
.
Since , the answer is
.
All ACT Math Resources
