Consider △DFE. What are the inputs or outputs of the following trigonometric ratios? Express the ratios in simplest terms.
2 answers:
Answer:
sin F = 4/5
cos F = 3/5
tan D = 3/4
Explanation:
First, we have sin an angle = 4/5
In a right-angled triangle:
sin theta = opposite / hypotenuse
This means that in triangle DFE:
The hypotenuse = 5 units
one of the sides = 4 units
Use Pythagorean theorem to get the other side as follows:
hypotenuse^2 = side1^2 + side2^
25^2 = 4^2 + side2^2
side2^2 = 9
The second side of the triangle = 3 units
The special trig functions are as follows:
sin theta = opposite / hypotenuse
cos theta = adjacent / hypotenuse
tan theta = opposite / adjacent
From the attached figure and based on the calculations above:
sin F = 4/5
cos F = 3/5
tan D = 3/4
Hope this helps :)
sin F = 4/5
cos F = 3/5
tan D = 3/4
Explanation:
First, we have sin an angle = 4/5
In a right-angled triangle:
sin theta = opposite / hypotenuse
This means that in triangle DFE:
The hypotenuse = 5 units
one of the sides = 4 units
Use Pythagorean theorem to get the other side as follows:
hypotenuse^2 = side1^2 + side2^
25^2 = 4^2 + side2^2
side2^2 = 9
The second side of the triangle = 3 units
The special trig functions are as follows:
sin theta = opposite / hypotenuse
cos theta = adjacent / hypotenuse
tan theta = opposite / adjacent
From the attached figure and based on the calculations above:
sin F = 4/5
cos F = 3/5
tan D = 3/4
Hope this helps :)
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Answer:
1) The domain In interval notation is [0, 20]
2) The range in interval notation is [100, 700]
Step-by-step explanation:
The given parameters are;
The amount Beth saved per month = $30
The number of months Beth saved = 20 months
The amount with which Beth opened her account = $100
Therefore, the amount of money Beth saved with respect to time is given as follows;
Y = $100 + $30 × X
Where;
Y = The amount of money Beth saved
X = The time (number of months) Beth saved
The domain is given as follows;
The domain in interval notation is [0, 20]
For the range, when X = 0, Y = $100
When X = 20, Y = $100 + $30 × 20 = $700
Therefore, the range is given as follows;
Which the range in interval notation is [100, 700].