Introduction to Trigonometry Assignment

Front

What is Trigonometry?

Back

Trigonometry is a branch of mathematics that studies the relationships between the angles and sides of triangles, particularly right triangles.

Front

What is the sine function?

Back

The sine function (sin) is a trigonometric function defined as the ratio of the length of the opposite side to the length of the hypotenuse in a right triangle.

Front

What is the cosine function?

Back

The cosine function (cos) is a trigonometric function defined as the ratio of the length of the adjacent side to the length of the hypotenuse in a right triangle.

Front

What is the tangent function?

Back

The tangent function (tan) is a trigonometric function defined as the ratio of the length of the opposite side to the length of the adjacent side in a right triangle.

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): c² = a² + b².

Front

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

Back

To find the length of a side using sine, use the formula: sin(angle) = opposite/hypotenuse. Rearranging gives: opposite = hypotenuse * sin(angle).

Front

How do you find the length of a side in a right triangle using cosine?

Back

To find the length of a side using cosine, use the formula: cos(angle) = adjacent/hypotenuse. Rearranging gives: adjacent = hypotenuse * cos(angle).

Front

How do you find the length of a side in a right triangle using tangent?

Back

To find the length of a side using tangent, use the formula: tan(angle) = opposite/adjacent. Rearranging gives: opposite = adjacent * tan(angle).

Front

What is the relationship between sine and cosine?

Back

The sine and cosine functions are related through the identity: sin²(angle) + cos²(angle) = 1.

Front

What is the value of sin(30°)?

Back

The value of sin(30°) is 0.5.