Right Triangle Trig Flashcard

Front

What is the definition of cosine in a right triangle?

Back

Cosine (cos) of an angle in a right triangle is the ratio of the length of the adjacent side to the length of the hypotenuse.

Front

What is the definition of sine in a right triangle?

Back

Sine (sin) of an angle in a right triangle is the ratio of the length of the opposite side to the length of the hypotenuse.

Front

What is the definition of tangent in a right triangle?

Back

Tangent (tan) of an angle in a right triangle is the ratio of the length of the opposite side to the length of the adjacent side.

Front

If cos(θ) = 3/5, what is sin(θ)?

Back

sin(θ) = 4/5, using the Pythagorean identity: sin²(θ) + cos²(θ) = 1.

Front

What is the Pythagorean theorem?

Back

Front

How do you find the value of x in a right triangle if you know two sides?

Back

Front

What is the relationship between sine and cosine?

Back

sin(θ) = cos(90° - θ) and cos(θ) = sin(90° - θ).

Front

If tan(X) = 32/24, what is the value of sin(X) and cos(X)?

Back

sin(X) = 32/40 and cos(X) = 24/40, using the definitions of sine and cosine.

Front

What is the formula to find the angle θ if you know the opposite and adjacent sides?

Back

Front

What is the value of sin(30°)?

Back

sin(30°) = 1/2.