What is the exact value of sin 60° as found on the unit circle?
1 answer:
The answer is
In order to find this, you need to draw a 30-60-90 triangle in the first quadrant with a 60 degree angle closest to the origin. Once you have that, you will note that, Sin is equal to the opposite side length over the hypotenuse. The opposite side is equal to the square root of 3 and the hypotenuse is equal to 2. So we just express it as such.
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The series of odd numbers is:
1, 3, 5, 7, 9, 11, 13, ....
If you observe this series, it is an Arithmetic Series with first term as 1 and common difference of 2. Common difference is defined as the difference between two consecutive terms of the series. So by using the formula of sum of an Arithmetic Series, we can find the sum of first 100 positive odd whole numbers.
The formula for the sum of an Arithmetic Series is:
Here,
n = number of terms = 100
a₁ = first term = 1
d = Common Difference = 2
Using the values, we get:
Thus, the sum of first 100 positive odd whole numbers is 10,000.