Need to be taught how to do this, thanks
1 answer:
Answer:
x = 36.27
Step-by-step explanation:
By using the steps to find sin θ backwards, we can find x, the hypotenuse.
sin θ = or side
(as seen in my example picture).
We already know the value for sin (α), which is 32° because its given. The opposite side (a) is 20 and the hypotenuse side (c) is x which are both also given.
So the equation now looks like:
sin 32° =
Don't solve for the sin 32 yet! First, we have to isolate the variable.
To get rid of the x in the denominator you have to multiply both sides by x:
( sin 32 ) · x = ( ) · x
( sin 32 ) x = 20
Then, you have to divide both sides by sin 32 to get x by itself:
(( sin 32 ) x ) ÷ ( sin 32 ) = 20 ÷ ( sin 32 )
x = 20 ÷ ( sin 32 )
Lastly, you have to use a calculator to find 20 ÷ ( sin 32 ), and it should give you 36.2695543766.
The question asks you to round to 2 decimal places so:
x = 36.27
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Answer:
y = 0
Step-by-step explanation:
The given sinusoidal equation is
The general form of the sin function is presented as follows;
y = A·sin(B·(x - C)) + D
Where;
A = The amplitude
The period, T = 2·π/B
The frequency, f = B/2·π
C = The horizontal shift
D = The vertical shift
By comparison with the given sine function, we have;
The amplitude, A = 2
The frequency, f = B/2·π = π/2/(2·π) = 1/4
The frequency, f = 1/4 Hz
C = The horizontal shift = 3/(π/2) = 6/π
The vertical shift, D = 0
Given that the mid line of the parent function, sin(x), is the line y = 0, and that the vertical shift is 0, the midline of the function, , is therefore, the line;
y = 0.