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geniusboy [140]

3 years ago

14

Verify the identity. sin (x+pi/2)=cos x

1 answer:

hram777 [196]3 years ago

4 0

Given data
<span>sin (x+pi/2)=cos x
</span>now using sin law
sin(a+b)=sin(a)cos(b)+cos(a)sin(b)
now using above values
sin(pi/2+x)=sin(pi/2)cos(x)+cos(pi/2)sin(x)
as we know that
sin(pi/2)=1
cos(pi/2)=0
now putting these values
sin(pi/2+x)=1*cosx+0*1
sin(pi/2+x)=cosx
hence proved that

<span>sin (x+pi/2)=cos x</span>

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Anna11 [10]

Answer:

the equation of the line is 7x + y = 0 .

Step-by-step explanation:

in the standard form of the line that is Ax +By = C we can write it in the form of

By = C - Ax

$y = \frac{-A}{B}x +\frac{C}{B}$

which is in the form of $y = mx +c$

where m is the slope of the line and c is y intercept made by the line.

comparing $y = \frac{-A}{B}x +\frac{C}{B}$ and $y = mx +c$

we get that $\frac{-A}{B} =m$ and $\frac{-C}{B} = c$

since it is given that slope of the line is -7 therefore m = -7 and c = 0

therefore $\frac{-A}{B} =-7$ and $\frac{-C}{B} = 0$

therefore C = 0 , A = 7 and B = 1

therefore the equation becomes 7x + y = 0

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3 years ago

One tossed coin landing heads and the next landing tails

bogdanovich [222]

Answer:

1/4 or 0.25

Step-by-step explanation:

*I'm assuming you're asking about the probability of this happening...

There are 4 different results you can get when flipping a coin twice...

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Second Flip: tails

First Flip: heads

Second Flip: heads

First Flip: tails

Second Flip: heads

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Second Flip: tails

only one of these is heads, then tails, so our probability is

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Step-by-step explanation:

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Igoryamba

Answer:

see explanation

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

Here (h, k) = (3, 1), hence

y = a(x - 3)² + 1

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25a = - 5 ( divide both sides by 25 )

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