Trigonometry

Front

What is the definition of sine in a right triangle?

Back

Sine (sin) 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) 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) is the ratio of the length of the opposite side to the length of the adjacent side.

Front

How do you find the length of a side using sine?

Back

To find the length of a side using sine, use the formula: sin(angle) = opposite/hypotenuse.

Front

How do you find the length of a side using cosine?

Back

To find the length of a side using cosine, use the formula: cos(angle) = adjacent/hypotenuse.

Front

How do you find the length of a side using tangent?

Back

To find the length of a side using tangent, use the formula: tan(angle) = opposite/adjacent.

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 sine rule?

Back

The sine rule states that the ratio of a side length 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?

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(90°)?

Back

sin(90°) = 1.