Trig Ratios(12/4-5/24)

Front

What is the definition of sine in a right triangle?

Back

Sine (sin) is the ratio of the length of the opposite side to the length of the hypotenuse (Opp/Hyp).

Front

What is the definition of cosine in a right triangle?

Back

Cosine (cos) is the ratio of the length of the adjacent side to the length of the hypotenuse (Adj/Hyp).

Front

What is the definition of tangent in a right triangle?

Back

Tangent (tan) is the ratio of the length of the opposite side to the length of the adjacent side (Opp/Adj).

Front

What is the formula for finding sine of an angle A?

Back

Sin(A) = Opposite side / Hypotenuse.

Front

What is the formula for finding cosine of an angle A?

Back

Cos(A) = Adjacent side / Hypotenuse.

Front

What is the formula for finding tangent of an angle A?

Back

Tan(A) = Opposite side / Adjacent side.

Front

If sinZ = 5/13, what is the value of cosZ?

Back

Using the Pythagorean identity: cosZ = √(1 - sin²Z) = √(1 - (5/13)²) = 12/13.

Front

If you know the opposite and adjacent sides, which trig function do you use?

Back

You use the tangent function.

Front

What is the relationship between sine and cosine for complementary angles?

Back

Sin(90° - A) = Cos(A).

Front

What is the value of tan(45°)?

Back

Tan(45°) = 1.