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AfilCa [17]
3 years ago
14

For sin2x+cosx=0, use a double-angle or half-angle formula to simplify the equation and then find all solutions of the equation

in the interval [0,2π).
Mathematics
1 answer:
Archy [21]3 years ago
4 0

Answer:

Step-by-step explanation:

Given is a trignometric equation in x, as

sin2x+cosx=0

TO make it in one trig ratio, we can replace sin2x as 2sinx cosx

WE get now

2sinxcosx+cosx=0\\

cosx(2sinx+1)=0\\cosx=0, sinx =-0.5\\

Principal solution is x=\frac{\pi}{2} , \frac{-\pi}{6}

x = ±π/2 + 2kπ, where k is any integer or

x=±pi/6 +k pi, where k is any integer.

General solution is

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3 years ago
After t seconds, a ball in the air from the ground level reaches a height of h feet given by the equation h= 144t-16t^2 . After
Effectus [21]
H=0
Therefore:
144t-16t²=0
t (144-16t)=0
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1)
t=0    (when the ball is released)
2)
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3 years ago
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Substitute the given values into the formula, and solve for the unknown variable.
Alla [95]

Answer:

h=\frac{1}{6}

Step-by-step explanation:

Given:

A=\frac{1}{2h} (B+b)\\

A=21, B=2, b=5 ,h= ?

We have to find the value of  'h'

So, putting the given values in the equation to find the value of 'h'.

          A=\frac{1}{2h} (B+b)

Implementing the given values in the given equations:

         

                              21=\frac{1}{2h}(2+5)\\\\ 21=\frac{1}{2h} (7)\\\\\frac{1}{2h}=\frac{21}{7}\\\\  \frac{1}{2h}=3 \\\\h=\frac{1}{6}

So, the value of 'h' is

                       h=\frac{1}{6}

3 0
3 years ago
What is an equation of the line that passes through the point (3,-8) and has a slope of -2<br>​
makvit [3.9K]

Answer:

y = -2x - 2

Step-by-step explanation:

Given:

m = -2

Slope-intercept:

y - y1 = m(x - x1)

y + 8 = -2(x - 3)

y + 8 = -2x + 6

y = -2x - 2

3 0
2 years ago
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