Trigonometric Ratios

Description: Trigonometric Ratios Quiz
Number of Questions: 15
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Tags: trigonometry trigonometric ratios
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In a right triangle, the ratio of the length of the side opposite the angle to the length of the hypotenuse is called the:

  1. Sine

  2. Cosine

  3. Tangent

  4. Secant


Correct Option: A
Explanation:

The sine of an angle is defined as the ratio of the length of the side opposite the angle to the length of the hypotenuse.

In a right triangle, the ratio of the length of the side adjacent to the angle to the length of the hypotenuse is called the:

  1. Sine

  2. Cosine

  3. Tangent

  4. Secant


Correct Option: B
Explanation:

The cosine of an angle is defined as the ratio of the length of the side adjacent to the angle to the length of the hypotenuse.

In a right triangle, the ratio of the length of the side opposite the angle to the length of the side adjacent to the angle is called the:

  1. Sine

  2. Cosine

  3. Tangent

  4. Secant


Correct Option: C
Explanation:

The tangent of an angle is defined as the ratio of the length of the side opposite the angle to the length of the side adjacent to the angle.

The reciprocal of the sine of an angle is called the:

  1. Cosecant

  2. Secant

  3. Cotangent

  4. Cosine


Correct Option: A
Explanation:

The cosecant of an angle is defined as the reciprocal of the sine of the angle.

The reciprocal of the cosine of an angle is called the:

  1. Cosecant

  2. Secant

  3. Cotangent

  4. Cosine


Correct Option: B
Explanation:

The secant of an angle is defined as the reciprocal of the cosine of the angle.

The reciprocal of the tangent of an angle is called the:

  1. Cosecant

  2. Secant

  3. Cotangent

  4. Cosine


Correct Option: C
Explanation:

The cotangent of an angle is defined as the reciprocal of the tangent of the angle.

In a right triangle, the Pythagorean theorem states that the square of the hypotenuse is equal to the sum of the squares of the:

  1. Opposite and Adjacent Sides

  2. Opposite and Hypotenuse Sides

  3. Adjacent and Hypotenuse Sides

  4. Opposite, Adjacent, and Hypotenuse Sides


Correct Option: A
Explanation:

The Pythagorean theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the opposite and adjacent sides.

In a right triangle, if the angle opposite the hypotenuse is 30 degrees, then the ratio of the length of the opposite side to the length of the hypotenuse is:

  1. 1/2

  2. 1/3

  3. 1/4

  4. 1/5


Correct Option: A
Explanation:

In a 30-60-90 triangle, the ratio of the length of the opposite side to the length of the hypotenuse is 1/2.

In a right triangle, if the angle opposite the hypotenuse is 45 degrees, then the ratio of the length of the opposite side to the length of the hypotenuse is:

  1. 1/2

  2. 1/3

  3. 1/4

  4. 1/5


Correct Option:
Explanation:

In a 45-45-90 triangle, the ratio of the length of the opposite side to the length of the hypotenuse is 1/sqrt(2).

In a right triangle, if the angle opposite the hypotenuse is 60 degrees, then the ratio of the length of the opposite side to the length of the hypotenuse is:

  1. 1/2

  2. 1/3

  3. 1/4

  4. 1/5


Correct Option:
Explanation:

In a 30-60-90 triangle, the ratio of the length of the opposite side to the length of the hypotenuse is sqrt(3)/2.

The trigonometric ratio that relates the length of the opposite side to the length of the hypotenuse is called the:

  1. Sine

  2. Cosine

  3. Tangent

  4. Secant


Correct Option: A
Explanation:

The sine of an angle is defined as the ratio of the length of the opposite side to the length of the hypotenuse.

The trigonometric ratio that relates the length of the adjacent side to the length of the hypotenuse is called the:

  1. Sine

  2. Cosine

  3. Tangent

  4. Secant


Correct Option: B
Explanation:

The cosine of an angle is defined as the ratio of the length of the adjacent side to the length of the hypotenuse.

The trigonometric ratio that relates the length of the opposite side to the length of the adjacent side is called the:

  1. Sine

  2. Cosine

  3. Tangent

  4. Secant


Correct Option: C
Explanation:

The tangent of an angle is defined as the ratio of the length of the opposite side to the length of the adjacent side.

The trigonometric ratio that relates the length of the hypotenuse to the length of the opposite side is called the:

  1. Sine

  2. Cosine

  3. Tangent

  4. Cosecant


Correct Option: D
Explanation:

The cosecant of an angle is defined as the ratio of the length of the hypotenuse to the length of the opposite side.

The trigonometric ratio that relates the length of the hypotenuse to the length of the adjacent side is called the:

  1. Sine

  2. Cosine

  3. Tangent

  4. Secant


Correct Option: D
Explanation:

The secant of an angle is defined as the ratio of the length of the hypotenuse to the length of the adjacent side.

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