Trigonometric Ratios

Front

What is the definition of sine in a right triangle?

Back

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

Front

What is the definition of cosine in a right triangle?

Back

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

Front

What is the definition of tangent in a right triangle?

Back

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

Front

What is the Pythagorean theorem?

Back

In a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides: a² + b² = c².

Front

What is the value of sin(30 degrees)?

Back

0.5

Front

What is the value of cos(60 degrees)?

Back

0.5

Front

What is the value of tan(45 degrees)?

Back

1

Front

If sin(X) = 0.5, what is the value of X?

Back

30 degrees or 150 degrees.

Front

If cos(X) = 0.866, what is the value of X?

Back

30 degrees.

Front

If tan(X) = 1, what is the value of X?

Back

45 degrees.