The trignometric ratios are
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Answer:
Basic Formulas
sin θ = Opposite Side/Hypotenuse.
cos θ = Adjacent Side/Hypotenuse.
tan θ = Opposite Side/Adjacent Side.
sec θ = Hypotenuse/Adjacent Side.
cosec θ = Hypotenuse/Opposite Side.
cot θ = Adjacent Side/Opposite side.
Hope this helps :)
\[ y=\sqrt{x} \]
\[y= \sqrt{x+3} \]
Firstly we have to determine the domain of the function
The domain of the function is the set of values for which the function is real and defined.
In the function we can clearly observe that for the negative values of x , the value of y will not be real.
So, the domain for this function is or .
The second function is
In this function we can clearly observe that for the values of x less than -3, the function is not real.
So, the domain for this function is or
As we know, the square root of negative numbers.
Hence, the x must be a positive value and greater than 0.
So, x:x∈[0,∞)
subtracting 3 from both sides
x:x∈[-3,∞)
16 4
32 16
48 36
A)yes; y=2x
B)yes; y=1/4x
C)yes; y=1/8x
D) No; y does not vary directly with x
Answer:
D) No; y does not vary directly with x.
Step-by-step explanation:
We can affirm that y varies directly with x, that is, that y is directly proportional to x if they fulfill the following condition.
y/x = k
where,
k is a constant number
We have 3 ordered pairs:
a) (16, 4)
b) (32, 16)
c) (48, 36)
If we perform y/x for each ordered pair,
a) 4/16 = 0.25
b) 16/32 = 0.50
c) 36/48 = 0.75
Since y/x is not constant, y does not vary directly with x.