SE Class 10 Maths - Rational or Irrational Numbers: $\cos(1^0)$ and $\tan(1^0)$

In summary, rational numbers are numbers that can be expressed as a fraction with integer numerator and denominator, while irrational numbers cannot. One way to tell if a number is rational or irrational is by its decimal expansion, with irrational numbers having an infinite number of non-repeating decimal places. All irrational numbers are also real numbers, and both types are significant in mathematics for understanding and describing the world, and for various calculations and equations.
  • #1
juantheron
247
1
$\cos(1^0)$ and $\tan(1^0)$ are Rational or Irrational no.

Where angle are in Degree

help required
 
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  • #2
jacks said:
$\cos(1^0)$ and $\tan(1^0)$ are Rational or Irrational no.

Where angle are in Degree

help required

Irrational, the proof can be found >>here<<

CB
 

FAQ: SE Class 10 Maths - Rational or Irrational Numbers: $\cos(1^0)$ and $\tan(1^0)$

1. What is a rational number?

A rational number is a number that can be expressed as a fraction, where the numerator and denominator are both integers. This includes whole numbers, integers, and terminating or repeating decimals.

2. What is an irrational number?

An irrational number is a number that cannot be expressed as a fraction, and has an infinite number of non-repeating decimal places. Examples include pi, the square root of 2, and the golden ratio.

3. How can you tell if a number is rational or irrational?

A number is rational if it can be expressed as a fraction, and irrational if it cannot. One way to determine if a number is irrational is by using the decimal expansion - if the decimal goes on forever without repeating, the number is irrational.

4. Are all irrational numbers also real numbers?

Yes, all irrational numbers are also real numbers. Real numbers include all rational and irrational numbers, as well as imaginary numbers.

5. What is the significance of rational and irrational numbers in mathematics?

Rational and irrational numbers are important in mathematics because they help us understand and describe the world around us. They are used in various calculations and equations, and can be used to represent both discrete and continuous quantities.

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