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Alexus [3.1K]
3 years ago
12

Sin pi/4 sin pi/6= 1/2(_____ pi/12-cos 5pi/12)

Mathematics
2 answers:
jonny [76]3 years ago
7 0

Answer: sin pi/4 sin pi/6 = 1/2(cos pi/12 - cos 5pi/12)

correct on apex

Vanyuwa [196]3 years ago
3 0

Answer:

sin\frac{\pi}{4}sin\frac{\pi}{6}=\frac{1}{2}(cos\frac{\pi}{12}-cos\frac{5\pi}{12})

Step-by-step explanation:

We are given that

sin\frac{\pi}{4} sin\frac{\pi}{6}

We have to correct value in blank space.

We know that identity

sin xsiny=\frac{cos(x-y)-cos(x+y)}{2}

Using this identity

sin\frac{\pi}{4}sin\frac{\pi}{6}=\frac{cos(\frac{\pi}{4}-\frac{\pi}{6})-cos(\frac{\pi}{4}+\frac{\pi}{6})}{2}

sin\frac{\pi}{4}sin\frac{\pi}{6}=\frac{cos(\frac{3\pi-2\pi}{12}-cos(\frac{3\pi+2\pi}{12})}{2}

sin\frac{\pi}{4}sin\frac{\pi}{6}=\frac{1}{2}(cos\frac{\pi}{12}-cos\frac{5\pi}{12})

Answer:sin\frac{\pi}{4}sin\frac{\pi}{6}=\frac{1}{2}(cos\frac{\pi}{12}-cos\frac{5\pi}{12})

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Leno4ka [110]
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The simplification after units cancel is:

(3(gh)^3)/100 or if you prefer

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3 years ago
Find the gcf of <br> 24, 14, 21
kobusy [5.1K]

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1

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All the numbers provided can have a factor of 1.

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1*14=14

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This is because there is only one factor they all commonly share, 1.

4 0
3 years ago
Read 2 more answers
The top of a mountain is 2,450 feet above sea level a shipwreck was discover 310 feet below sea level what is the distance betwe
arlik [135]

Answer:

d=2,760\ ft

Step-by-step explanation:

Let

x ----> the height of the top of a mountain above sea level

y ----> the deep of a shipwreck below the sea level

we know that

The sea level represent the height equal to zero

In this problem we have

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y=-310\ ft ---> is negative because is below sea level

To find out the distance between the mountain top and the ship wreck, determine the absolute value of the difference between the two values

d=\left|x-y\right|

substitute the values

d=\left|2,450-(-310)\right|

d=\left|2,450+310\right|

d=\left|2,760\right|

d=2,760\ ft

5 0
3 years ago
The variable in a relation who’s value depends on the value of the independent variable is called what?
Viefleur [7K]
That is called the dependent variable. It depends upon the value of the independent variable.

f(x)=y

So we can see by inspection that the dependent variable y value depends upon the input value of the independent variable x

Any questions please feel free to ask. Thanks
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BARSIC [14]

Answer:

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