Trig mini-flashcard

Front

What is the sine of an angle in a right triangle?

Back

The sine of an angle is the ratio of the length of the opposite side to the length of the hypotenuse.

Front

What is the cosine of an angle in a right triangle?

Back

The cosine of an angle is the ratio of the length of the adjacent side to the length of the hypotenuse.

Front

What is the tangent of an angle in a right triangle?

Back

The tangent 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 relationship between sine and cosine?

Back

Sine and cosine are co-functions; sin(θ) = cos(90° - θ) and cos(θ) = sin(90° - θ).

Front

How do you find the angle when given the sine value?

Back

You can find the angle using the inverse sine function: θ = sin⁻¹(value).

Front

How do you find the angle when given the cosine value?

Back

You can find the angle using the inverse cosine function: θ = cos⁻¹(value).

Front

What is the sine rule in trigonometry?

Back

The sine rule states that the ratio of the length of a side of a triangle to the sine of its opposite angle is constant for all three sides: 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).

Front

What is the value of sin(0°)?

Back

The value of sin(0°) is 0.