The identity Sin(α)/Tan(α) = Cos(α) is valid
Trigonometry is study of triangles. All trigonometric ratios are defined using the sides of the right triangle, such as an adjacent side, opposite side, and hypotenuse side. Three major of them are as follows :-
Sine Function:
sin(θ) = Opposite / Hypotenuse
Cosine Function:
cos(θ) = Adjacent / Hypotenuse
Tangent Function:
tan(θ) = Opposite / Adjacent
Lets prove this identity by proceeding with the LHS
= Sin(α)/Tan(α)
= Sin(α)/ (Sin(α)/Cos(α)) (Tan(α) = Sin(α)/Cos(α))
= Sin(α)xCos(α) / Sin(α)
= Cos(α)
Hence verified
Learn more about Trigonometric Ratios here :
brainly.com/question/13776214
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Step-by-step explanation:
pythagoras theorem: c²=a²+b²
Where c= longest side of a right angle triangle
AB= 6+r = c
AD= 12 =a
CD= r =b
(6+r)² = 12²+ r²
36+12r+r² =144 +r²
12r+r²-r²=144-36
12r=108
r= 108/12
r=9
Well, to find out whether she spent more time getting dressed or eating breakfast, we simply have to compare the fractions of the hour that she took on each.
We know that she took 3/6 of an hour to get dressed and 1/4 of an hour to eat breakfast. To find out which activity she spent more time on, we simply need to see which fraction is bigger.
To do this, we must first reduce the fractions to lowest terms. 1/4 is already in lowest terms, so we can leave that alone. 3/6 can be reduced, however, and since 3 goes into 6 twice, it reduces to 1/2.
Now, we can compare the fractions.
Is 1/2 of an hour or 1/4 of an hour more?
The answer is 1/2, so now we know that Bailey spent more time getting dressed than eating breakfast.
Hope that helped! =)
Answer:
Step-by-step explanation:
Problem 4a
You have 6 numbers on the cube, a bag with 4 letters and a spinner with 3 letters
The total number of results is
6 * 4 * 3 = 72
Problem 4b
P(A,3,Q) = (1/3)(1/6)(1/4) = 1/72
Problem 4c
A and Q remain the same. 1/3 and 1/4
Not rolling a 6 is a little different. Success will result in a 1 2 3 4 5 being thrown. That's 5/6
So the results are 1/3 * 1/4 * 5/6 = 5/72
Answer:
A. exactly 0.50
Step-by-step explanation:
We have been given a statement. We are asked to choose the correct option about given statement.
We know that every histogram has 5 points summary.
1st point is known as minimum point, 2nd point is first quartile, 3rd point is median, 4th point is upper quartile and 5th point is maximum point.
In a normal distribution 25% of the data points are to the left 1st quartile, 50% of the data points are to the left of median and 75% of the data points are to the left 2nd quartile.
Therefore, exactly 0.50 of the total area which must be to the left of the median.
