Trigonometric Ratios

Front

What is the definition of a hypotenuse in a right triangle?

Back

The hypotenuse is the side opposite the right angle in a right triangle.

Front

What are the three primary trigonometric ratios?

Back

Sine (sin), Cosine (cos), and Tangent (tan).

Front

How is the sine of an angle defined in a right triangle?

Back

Sine of an angle is defined as the ratio of the length of the opposite side to the length of the hypotenuse.

Front

How is the cosine of an angle defined in a right triangle?

Back

Cosine of an angle is defined as the ratio of the length of the adjacent side to the length of the hypotenuse.

Front

How is the tangent of an angle defined in a right triangle?

Back

Tangent of an angle is defined as 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 hypotenuse is equal to the sum of the squares of the other two sides (a² + b² = c²).

Front

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

Back

The sine of an angle is equal to the cosine of its complement (sin(θ) = cos(90° - θ)).

Front

What is the unit circle?

Back

The unit circle is a circle with a radius of 1 centered at the origin of a coordinate plane, used to define trigonometric functions.

Front

What is the sine rule in trigonometry?

Back

The sine rule states that the ratio of a side of a triangle to the sine of its opposite angle is constant (a/sin(A) = b/sin(B) = c/sin(C)).

Front

What is the cosine rule in trigonometry?

Back

The cosine rule relates the lengths of the sides of a triangle to the cosine of one of its angles (c² = a² + b² - 2ab*cos(C)).