Use an appropriate half-angle formula to find the exact value of the expression. cos(22. 5°)
1 answer:
The value of given trigonometric value cos(22. 5°) is 0.387.
According to the statement
we have given that the trigonometric value and we have to find the exact value of that given value with the help of the half angle formula.
So, For this purpose, we know that the
The half angle formulas are used to find the exact values of the trigonometric ratios of the angles like 22.5°.
So,
The given value is :
cos(22. 5°)
Then the value of cos half angle formula is
then
The value of θ/2 is 22.5 degree.
And θ is 22.5*2
θ = 45 degree
and cos 45 degree is 1/squareroot 2
And by this the value of given value become is
So, The value of given trigonometric value cos(22. 5°) is 0.387.
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Given:
Number of passengers seated in the roller coaster = 21
Empty seats = 3
Number of cars in roller coaster = 4 (each with the same number of seats)
To find:
An equation that can be used to determine the number of seats in each car.
Solution:
Let s be the number of seats in each car.
Total number of seats in 4 cars = 4s
Using the given information,
Total number of seats = Occupied seated + Empty seats
= 21 + 3
= 24
Now, the required equation is
Therefore, the required equation is .
Divide both sides by 4.
Therefore, the number of seats in each car is 6.