ACT Math : How to find the tangent of an angle

Study concepts, example questions & explanations for ACT Math

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Example Questions

Example Question #1 :Trigonometry

Triangle

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

Possible Answers:

Correct answer:

Explanation:

Tangent = Opposite / Adjacent

Example Question #2 :Trigonometry

Consider a right triangle with an inner angle.

If

what is?

Possible Answers:

Correct answer:

Explanation:

The tangent of an anglexis defined as

Substituting the given values for cosx和sinx, we get

Example Question #3 :Trigonometry

Triangle

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

Possible Answers:

Correct answer:

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?

Possible Answers:

Correct answer:

Explanation:

The cosine of the angle is和since that is a reduced fraction, we know the hypotenuse is和the adjacent side equals.

The sine of the angle equals,由于hyptenuse已经we know that we must multiply the numerator and denominator byto get the common denominator of. Therefore, the opposite side equals.

Since, the answer is.

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