TRIGONOMETRY BASICS

Front

What is the sine ratio 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 ratio 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 ratio 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

How do you find the height of a triangle using trigonometry?

Back

Use the formula: height = adjacent side * tan(angle).

Front

What is the Pythagorean theorem?

Back

In a right triangle, a² + b² = c², where c is the hypotenuse.

Front

If sin(θ) = opposite/hypotenuse, what is the hypotenuse if opposite = 10 and sin(θ) = 0.5?

Back

Hypotenuse = opposite/sin(θ) = 10/0.5 = 20.

Front

What is the angle of elevation?

Back

The angle of elevation is the angle formed by the horizontal line and the line of sight to an object above the horizontal.

Front

How do you calculate the length of a side in a right triangle using sine?

Back

Length of opposite side = hypotenuse * sin(angle).

Front

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

Back

The angles determine the ratios of the sides, which are consistent for all right triangles.

Front

If a slide is 6 feet high and 8 feet long, what is the angle of elevation?

Back

Use sin(θ) = opposite/hypotenuse; θ = sin⁻¹(6/8).