Writing & solving Trig equations

Front

What is the sine ratio in a right triangle?

Back

The sine ratio is defined as 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 ratio is defined as 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 ratio is defined as the ratio of the length of the opposite side to the length of the adjacent side.

Front

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

Back

You can use the sine function, where height = hypotenuse * sin(angle).

Front

What is the formula to calculate the height of a tree if you know the distance from the tree and the angle of elevation?

Back

Height = Distance * tan(angle of elevation).

Front

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

Back

The angles in a right triangle are related to the lengths of the sides through trigonometric ratios.

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

How do you solve for an angle in a right triangle using trigonometric ratios?

Back

You can use the inverse trigonometric functions: sin⁻¹, cos⁻¹, or tan⁻¹.

Front

What is the purpose of using trigonometric ratios in real-life applications?

Back

Trigonometric ratios help in solving problems involving heights, distances, and angles in various fields such as engineering, physics, and architecture.

Front

What is the significance of rounding answers in trigonometry?

Back

Rounding is important for providing a practical answer that is easy to interpret, especially in real-world applications.