Geometry: Basic Trigonometry Flashcard

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 measure of an angle using sine?

Back

To find the measure of an angle using sine, use the inverse sine function: angle = sin^(-1)(opposite/hypotenuse).

Front

How do you find the measure of an angle using cosine?

Back

To find the measure of an angle using cosine, use the inverse cosine function: angle = cos^(-1)(adjacent/hypotenuse).

Front

How do you find the measure of an angle using tangent?

Back

To find the measure of an angle using tangent, use the inverse tangent function: angle = tan^(-1)(opposite/adjacent).

Front

What is the Pythagorean theorem?

Back

The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides: a^2 + b^2 = c^2.

Front

What is the relationship between sine and cosine?

Back

Sine and cosine are related through the identity: sin^2(θ) + cos^2(θ) = 1.

Front

What is the value of sin(30°)?

Back

The value of sin(30°) is 1/2.

Front

What is the value of cos(60°)?

Back

The value of cos(60°) is 1/2.