Introduction to Trig.

Front

What is the definition of Sine in a right triangle?

Back

Sine (sin) is the ratio of the length of the side opposite the angle to the length of the hypotenuse. Formula: sin(θ) = Opposite/Hypotenuse.

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. Formula: cos(θ) = Adjacent/Hypotenuse.

Front

What is the definition of Tangent in a right triangle?

Back

Tangent (tan) is the ratio of the length of the side opposite the angle to the length of the adjacent side. Formula: tan(θ) = Opposite/Adjacent.

Front

What does SOH CAH TOA stand for?

Back

SOH CAH TOA is a mnemonic to remember the definitions of sine, cosine, and tangent: Sine = Opposite/Hypotenuse, Cosine = Adjacent/Hypotenuse, Tangent = Opposite/Adjacent.

Front

If the opposite side is 8 and the hypotenuse is 17, what is the Sine ratio?

Back

Front

If the adjacent side is 16 and the hypotenuse is 34, what is the Cosine ratio?

Back

Front

What is the formula for finding the length of the adjacent side using Cosine?

Back

The formula is: Adjacent = Hypotenuse * cos(θ).

Front

What is the formula for finding the length of the opposite side using Sine?

Back

The formula is: Opposite = Hypotenuse * sin(θ).

Front

How do you find the Tangent ratio using the lengths of the sides?

Back

Tangent ratio can be found using the formula: tan(θ) = Opposite/Adjacent.

Front

What is the relationship between the three sides of a right triangle?

Back

In a right triangle, the square of the hypotenuse (c) is equal to the sum of the squares of the other two sides (a and b). This is known as the Pythagorean theorem: c² = a² + b².