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2. The reciprocal of the secant value of an angle is equal to its cosecant.

True

False

The reciprocal of the secant value of an angle is equal to its cosine, not its cosecant. The secant (sec) of an angle is defined as the reciprocal of the cosine (cos), while the cosecant (csc) of an angle is defined as the reciprocal of the sine (sin).

Explanation

The reciprocal of the secant value of an angle is equal to its cosine, not its cosecant. The secant (sec) of an angle is defined as the reciprocal of the cosine (cos), while the cosecant (csc) of an angle is defined as the reciprocal of the sine (sin).

3. Who discovered the concept of Zero?

Archimedes

Aryabhatta

Plato

None of the above

Aryabhatta is credited with discovering the concept of zero. He was an ancient Indian mathematician and astronomer who lived in the 5th century. Aryabhatta's work on the number system and his use of zero as a placeholder revolutionized mathematics and laid the foundation for modern arithmetic. His discoveries and contributions to mathematics were highly influential and continue to be used today.

Explanation

Aryabhatta is credited with discovering the concept of zero. He was an ancient Indian mathematician and astronomer who lived in the 5th century. Aryabhatta's work on the number system and his use of zero as a placeholder revolutionized mathematics and laid the foundation for modern arithmetic. His discoveries and contributions to mathematics were highly influential and continue to be used today.

4. How do you define a circle?

It is the locus of all points drawn from a perpendicular distance in a plane.

None of the above

A circle is defined as the locus of all the points drawn in a plane from a fixed point which is called its center. This means that every point on the circle is equidistant from the center. The other options do not accurately define a circle.

Explanation

A circle is defined as the locus of all the points drawn in a plane from a fixed point which is called its center. This means that every point on the circle is equidistant from the center. The other options do not accurately define a circle.

5. What is the value of the sum of squares of sin and cos of an angle?

1

2

0

-1

The sum of squares of sin and cos of an angle is always equal to 1. This can be proven using the trigonometric identity: sin^2(angle) + cos^2(angle) = 1. This identity holds true for any angle, making the value of the sum of squares of sin and cos always equal to 1.

Explanation

The sum of squares of sin and cos of an angle is always equal to 1. This can be proven using the trigonometric identity: sin^2(angle) + cos^2(angle) = 1. This identity holds true for any angle, making the value of the sum of squares of sin and cos always equal to 1.

6. Janie had 24 cookies and wanted to fit all of them into four boxes. What is the correct solution and the correct answer?

24x4=96 cookies in each box

24/4=6 cookies in each box

24/2= 12 cookies in each box

The correct solution is to divide the total number of cookies, 24, by the number of boxes, 4, which gives 6 cookies in each box. This is represented by the equation 24/4=6. Therefore, the correct answer is 6 cookies in each box.

Explanation

The correct solution is to divide the total number of cookies, 24, by the number of boxes, 4, which gives 6 cookies in each box. This is represented by the equation 24/4=6. Therefore, the correct answer is 6 cookies in each box.

7. What is a null set?

A set which has zero as its element.

A set which is null.

A set which contains only one element.

None of the above.

The correct answer is "A set which is null." A null set, also known as an empty set, is a set that contains no elements. It is represented by the symbol Ø or {} and is different from a set that contains zero as its element. A null set has no elements, while a set that contains zero as its element has one element, which is zero. Therefore, the correct answer is a set which is null.

Explanation

The correct answer is "A set which is null." A null set, also known as an empty set, is a set that contains no elements. It is represented by the symbol Ø or {} and is different from a set that contains zero as its element. A null set has no elements, while a set that contains zero as its element has one element, which is zero. Therefore, the correct answer is a set which is null.