Trig Maze

Front

What is the definition of sine (sin) in a right triangle?

Back

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

Front

How do you find the sine of an angle using a calculator?

Back

To find the sine of an angle, use the sine function on a scientific calculator, ensuring the calculator is in the correct mode (degrees or radians).

Front

What is the sine rule in trigonometry?

Back

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

Front

What is the cosine (cos) of an angle 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 tangent (tan) of an angle 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 value of x in a right triangle using trigonometric ratios?

Back

Use the appropriate trigonometric ratio (sin, cos, or tan) based on the known sides and angles to set up an equation and solve for x.

Front

What is the Pythagorean theorem?

Back

The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (c) is equal to the sum of the squares of the lengths of the other two sides (a and b): a² + b² = c².

Front

How do you convert degrees to radians?

Back

To convert degrees to radians, multiply the degree measure by π/180.

Front

What is the relationship between the angles in a triangle?

Back

The sum of the interior angles in a triangle is always 180 degrees.

Front

What is the definition of an angle in standard position?

Back

An angle in standard position has its vertex at the origin and its initial side along the positive x-axis.