Trigonometric Ratios

What is the definition of tangent in a right triangle?

• Tangent (tan) of an angle is the ratio of the length of the opposite side to the length of the adjacent side.

• Tangent (tan) of an angle is the sum of the lengths of the opposite and adjacent sides.

• Tangent (tan) of an angle is the difference between the lengths of the opposite and adjacent sides.

• Tangent (tan) of an angle is the product of the lengths of the opposite and adjacent sides.

What is the cosine of 0 degrees?

• 0

• 0.5

• 1

• -1

What is the definition of cosine in a right triangle?

• Cosine (cos) of an angle is the ratio of the length of the opposite side to the length of the hypotenuse.

• Cosine (cos) of an angle is the ratio of the length of the adjacent side to the length of the hypotenuse.

• Cosine (cos) of an angle is the ratio of the length of the hypotenuse to the length of the opposite side.

• Cosine (cos) of an angle is the ratio of the length of the adjacent side to the length of the opposite side.

How do you find the length of the opposite side using tangent?

• Opposite side = Adjacent side × tan(angle).

• Opposite side = Adjacent side ÷ tan(angle).

• Opposite side = tan(angle) × Hypotenuse.

• Opposite side = Hypotenuse ÷ tan(angle).

What is the sine of 90 degrees?

• 0

• 0.5

• 1

• -1

What is the tangent of 0 degrees?

• 0

• 1

• undefined

• -1

If sin(X) = 0.5, what is the value of X?

• 30 degrees

• 150 degrees

• 45 degrees

• 60 degrees

What is the value of tan(45 degrees)?

• 0

• 1

• √3

• ∞

What is the value of cos(60 degrees)?

• 0.5

• 0.25

• 1

• 0.75

What is the Pythagorean theorem?

• 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: a² + b² = c².

• The sum of the angles in a triangle is always 180 degrees.

• The area of a circle is calculated using the formula A = πr².

• In a right triangle, the length of the hypotenuse is always greater than the lengths of the other two sides.