Based on the given triangle, the cosine of the 60 degree angle is:

Mathematics

2 answers:

irinina [24]3 years ago

8 0

The cosine of a 60 degree angle is 1/2.

Fittoniya [83]3 years ago

4 0

Answer:

Hence, the value of cosine of the 60 degree angle is: $\dfrac{1}{2}$ .

Step-by-step explanation:

We are asked to find the value of cosine of the 60 degree angle of the triangle.

We know that the cosine function is one of the basic functions encountered in trigonometry."the cosine of an angle in a right‐angle triangle is the ratio of the length of the adjacent leg to the length of the hypotenuse."

Now we know directly that the $\cos 60 \degree=\dfrac{1}{2}$

and this value is also equal to $\sin 30\degree$

since, we know that $\cos (90-x)=\sin x$

Hence, the value of cosine of the 60 degree angle is: $\dfrac{1}{2}$ .

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Whole numbers are _____ integers. . . . .A. always. B. sometimes. C. never

guapka [62]

Whole numbers are sometimes integers.

$\boxed{ \ The \ Answer \ is \ B \ }$

<h3>Further explanation</h3>

The set of natural numbers (also called the set of counting numbers) is denoted by N: $\boxed{ \ N = \{1, 2, 3, ...\} \ }.$
Natural numbers together with zero called are called whole numbers. The set of whole numbers is denoted by W: $\boxed{ \ W = \{0, 1, 2, 3, ... \} \ }.$
The set of natural numbers are not enough for all the number problems in everyday life. For example, natural numbers cannot be used to write some winter temperatures, since such temperatures may be less than zero i.e., negative numbers.
The set of integers are the union of the set of negative numbers with the set of natural numbers and zero. The set of integers is denoted by Z: $\boxed{ \ Z = \{..., -3, -2, -1, 0, 1, 2, 3, ... \} \ }.$
The set of negative integers is denoted by Z⁻: $\boxed{ \ Z^- = \{ ..., -3, -2, -1 \} \ }.$
The set of positive integers is denoted by Z⁺: $\boxed{ \ Z^+ = \{1, 2, 3, ... \} \ }.$
The set of non-negative integers are the set of all positive integers together with zero.
The set of non-positive integers are the set of all negative integers together with zero.

Conclusion:

Whole numbers are sometimes integers because negative integers are not part of whole numbers. In other words, whole numbers are not fully integers.

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Examples of integers around us:

The height of an airplane flight typically between 31,000 and 38,000 feet.
Ice melts at 0⁰C.
This diver is swimming at -20 m.

<h3>Learn more</h3>

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Keywords: whole numbers are sometimes integers, always, never, natural, counting, zero, negative integers, positive, the set