# ACT Math : How to find the tangent of an angle

## Example Questions

### Example Question #1 : Trigonometry

What is the tangent of C in the given right triangle??

Explanation:

### Example Question #1 : How To Find The Tangent Of An Angle

Consider a right triangle with an inner angle .

If

and

what is ?

Explanation:

The tangent of an angle x is defined as

Substituting the given values for cos x and sin x, we get

### Example Question #1 : How To Find The Tangent Of An Angle

Triangle ABC shown is a right triangle. If the tangent of angle C is , what is the length of segment BC?

Explanation:

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 : Trigonometry

If the sine of an angle equals , and the cosine of the same angle equals , what is the tangent of the angle?
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