Answer:
Step-by-step explanation:
Numerator
sin
x
cos
y
+
cos
x
sin
y
−
[
sin
x
cos
y
−
cos
x
sin
y
)
=
sin
x
cos
y
+
cos
x
sin
y
−
sin
x
cos
y
+
cos
x
sin
y
=
2
cos
x
sin
y
Denominator
cos
x
cos
y
−
sin
x
sin
y
+
cos
x
cos
y
+
sin
x
sin
y
=
cos
x
cos
y
−
sin
x
sin
y
+
cos
x
cos
y
+
sin
x
sin
y
=
2
cos
x
cos
y
---------------------------------------------------------------
left side can now be expressed as
2
cos
x
sin
y
2
cos
x
cos
y
=
2
cos
x
sin
y
2
cos
x
cos
y
=
sin
y
cos
y
and
sin
y
cos
y
=
tan
y
=
right side hence proved
To serve 3 you half the recipe so divide each number by 2
3/4 cup/2 = 3/8 cup granulated sugar
1 cup/2 = 1/2 cup of evaporated milk
1/3teaspoon/2 = 1/6 teaspoon of vanilla
12 slices/2 = 6 slices of French bread
You need to ensure the denominators are the same. To do this you multiply the denominators together.
1/90 + 2/90
However, this is incorrect, as you need to do the same to the numerators, so for the left hand side you multiplied by 9 and for the right hand side you multiplied by 10, so you must do the same for the numerators.
So it should be:
9/90 + 20/90
You can now add this together, to get:
29/90
This is triple checked so I’m not sure why it says reduce the answer fully as that is as far as it can be reduced.
Answer:
![Sin ~0 =\frac{2\sqrt{5} }{5}](https://tex.z-dn.net/?f=Sin%20~0%20%3D%5Cfrac%7B2%5Csqrt%7B5%7D%20%7D%7B5%7D)
Step-by-step explanation:
![sec0=\sqrt{5}](https://tex.z-dn.net/?f=sec0%3D%5Csqrt%7B5%7D)
![cos~0=\frac{1}{sec0} =\frac{1}{\sqrt{5} }](https://tex.z-dn.net/?f=cos~0%3D%5Cfrac%7B1%7D%7Bsec0%7D%20%3D%5Cfrac%7B1%7D%7B%5Csqrt%7B5%7D%20%7D)
![sin ~0=\sqrt{1-cos^2~0}](https://tex.z-dn.net/?f=sin%20~0%3D%5Csqrt%7B1-cos%5E2~0%7D)
![=\sqrt{1-1/5}=\sqrt{5-1/5}](https://tex.z-dn.net/?f=%3D%5Csqrt%7B1-1%2F5%7D%3D%5Csqrt%7B5-1%2F5%7D)
![Sin~0=\sqrt{4/5} =2/\sqrt{5}*\sqrt{5}/\sqrt{5}](https://tex.z-dn.net/?f=Sin~0%3D%5Csqrt%7B4%2F5%7D%20%3D2%2F%5Csqrt%7B5%7D%2A%5Csqrt%7B5%7D%2F%5Csqrt%7B5%7D)
![Sin~0=2\sqrt{5}/2=2\sqrt{5}/5](https://tex.z-dn.net/?f=Sin~0%3D2%5Csqrt%7B5%7D%2F2%3D2%5Csqrt%7B5%7D%2F5)
<u>--------------------------------</u>
hope it helps...
have a great day!!!