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geniusboy [140]
3 years ago
14

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

Mathematics
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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The graph of a line has a slope of -7 and a y intercept of (0,0). Rewrite the equation in standard form (Ax+By=C) with a positiv
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

3 0
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...

First Flip: heads

Second Flip: tails

First Flip: heads

Second Flip: heads

First Flip: tails

Second Flip: heads

First Flip: tails

Second Flip: tails

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

1/4, or 0.25

7 0
3 years ago
Find the value or values of c that satisfy the equation StartFraction f (b )minus f (a )Over b minus a EndFraction equalsf ​'(c)
IgorC [24]

Answer:a

Step-by-step explanation:

7 0
3 years ago
Find the equation for the parabola that passes through the point (-2,-4), with vertex at (3,1) and a vertical axis
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

To find a substitute (- 2, - 4) into the equation

- 4 = a(- 2 - 3)² + 1

- 4 = 25a + 1 ( subtract 1 from both sides )

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

a = - \frac{5}{25} = - \frac{1}{5}

y = - \frac{1}{5} (x - 3)² + 1 ← in vertex form

7 0
3 years ago
What's the answer n give examples please
melisa1 [442]
The answer would be 1.0404 because 1.02 multiplied by 1.02 is 1.0404
7 0
3 years ago
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