How to find the tangent of an angle - ACT Math
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What is the tangent of C in the given right triangle??
What is the tangent of C in the given right triangle??
Tangent = Opposite / Adjacent
Tangent = Opposite / Adjacent
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Consider a right triangle with an inner angle 
.
If
and
what is 
?
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
The tangent of an angle x is defined as
Substituting the given values for cos x and sin x, we get
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Triangle ABC shown is a right triangle. If the tangent of angle C is 
, what is the length of segment BC?
Triangle ABC shown is a right triangle. If the tangent of angle C is
Use the definition of the tangent and plug in the values given:
tangent C = Opposite / Adjacent = AB / BC = 3 / 7
Therefore, BC = 7.
Use the definition of the tangent and plug in the values given:
tangent C = Opposite / Adjacent = AB / BC = 3 / 7
Therefore, BC = 7.
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If the sine of an angle equals 
, and the cosine of the same angle equals 
, what is the tangent of the angle?
If the sine of an angle equals
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 
.
The cosine of the angle is
The sine of the angle equals
Since
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