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4 years ago

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

1 answer:

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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So confused! I have the answer, but can't understand the explanation. Please help...

andrey2020 [161]

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6 0

3 years ago

Read 2 more answers

Determine whether the following sequence is geometric. If so, find the common ratio.

Doss [256]

Geometric sequence

-5 each term is multiplied by -5

7 0

3 years ago

Read 2 more answers

Equation find three points that solve the equation then plot on the graph -3y = 5x -7

Karo-lina-s [1.5K]

ANSWER

See attachment.

EXPLANATION

The given equation is

-3y=5x-7

when y=0,

-3(0)=5x-7

0=5x-7

5x=7

$x = \frac{7}{5}$

we plot (7/5,0)

when x=0

-3y=5(0)-7

y=7/3

we plot (0,7/3)

when x=1,

-3y=5(1)-7

-3y=-2

y=2/3

we plot (1,2/3)

4 0

3 years ago

Ethan is icing 30 cupcakes. He spreads mint icing on 1/5 of the cupcakes and chocolate on 1/2 of the remaining cupcakes. The res

sergejj [24]

Answer:

Step-by-step explanation:

1/5 of 30 is 6

there are 24 cupcakes left

half of 24 is 12

12 are left over. These will get vanilla frosting.

8 0

3 years ago

I need help on ratio of x-coordinates and ratio of y-coordinates

ad-work [718]

Answer:

Ratio of x-coordinates:

$\frac{-1}{-2}=\frac{1}{2}$

$\frac{2}{4}=\frac{1}{2}$

$\frac{-2}{-4}=\frac{1}{2}$

Ration of y-coordinates:

$\frac{2.5}{5}=\frac{1}{2}$

$\frac{1}{2}=\frac{1}{2}$

$\frac{-2}{-4}=\frac{1}{2}$

Step-by-step explanation:

The table is asking for the ratio of x-coordinates for each point (A, B, C and D) for both the image and pre-image. The ratio is the image 'x' or 'y' value ÷ the pre-image 'x' or 'y' value. Each ratio should be expressed in simplest form and should show the same pattern of dilation, or same scale factor. In this case, the second figure is 1/2 the size of the original figure.

5 0

4 years ago