Solving Right Triangles Using Trig

Front

What is a right triangle?

Back

A right triangle is a triangle that has one angle measuring 90 degrees.

Front

What is the Pythagorean theorem?

Back

Front

What are the primary trigonometric ratios?

Back

The primary trigonometric ratios are sine (sin), cosine (cos), and tangent (tan). They are defined as follows: - sin(θ) = opposite/hypotenuse - cos(θ) = adjacent/hypotenuse - tan(θ) = opposite/adjacent.

Front

How do you find the height of an object using trigonometry?

Back

To find the height of an object, you can use the tangent function: height = distance from the object * tan(angle).

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: sin(θ) = opposite/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: cos(θ) = adjacent/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: tan(θ) = opposite/adjacent.

Front

How do you calculate the length of the hypotenuse?

Back

Front

What is the relationship between the angles and sides in a right triangle?

Back

In a right triangle, the angles are related to the sides through trigonometric ratios. The larger the angle, the longer the opposite side relative to the adjacent side.

Front

How do you solve for an unknown side in a right triangle?

Back

To solve for an unknown side, use the appropriate trigonometric ratio based on the known angle and side lengths.