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Sidana [21]
3 years ago
7

Show that sin (x + pi) = -sin x.

Mathematics
1 answer:
Lunna [17]3 years ago
4 0

Answer:

The answer in the procedure

Step-by-step explanation:

we know that

sin(A + B) = sin A cos B + cos A sin B

In this problem we have

sin(x + \pi)=sin (x)cos(\pi) + cos(x)sin(\pi)

Remember that

sin(\pi) = 0

cos(\pi) = -1

substitute

sin(x + \pi) = sin(x)(-1) + cos(x)(0)

sin(x + \pi) = -sin(x)

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If Rs 42,000 is left after paying an income tax at the rate of 30%.Find the income
Naddika [18.5K]

Answer:

Total income is 60,000

Step-by-step explanation:

I. if paid rate is 30%, that's mean 42,000 is 70%

II. Perform ratio 70/100 = 42,000/x

                       70*x = 100 * 42,000

                        70x = 4,200,000

                            x = 60,000

III. If you perform 30/100 = x/60,000 will be 42,000

Sorry for late.

                       

5 0
3 years ago
Three fourths of the fruit in a refrigerator are apples. There are 24 apples in the refrigerator. How many pieces of fruit are i
Eva8 [605]

3/4=24 so 1/4=8 therefore 4/4=32

8 0
3 years ago
What is the following product?
-Dominant- [34]

Answer:

98 - 40√6

Step-by-step explanation:

We have to simplify the following product :

(5\sqrt{2} - 4\sqrt{3})(5\sqrt{2} - 4\sqrt{3}).

Now, (5\sqrt{2} - 4\sqrt{3})(5\sqrt{2} - 4\sqrt{3})

= (5\sqrt{2} - 4\sqrt{3})^{2}

= (5\sqrt{2})^{2} - 2 (5\sqrt{2}) (4\sqrt{3}) + (4\sqrt{3} )^{2}  

{Since we know the identity (a - b)² = a² - 2ab + b² }

= 50 - 40√6 + 48

= 98 - 40√6 (Answer)

6 0
3 years ago
Read 2 more answers
75 POINTS!!!
SIZIF [17.4K]

Answer:

1. 0-9

2. 0-6

3. 0-6

Step-by-step explanation:

This scenario can be simulated by generating a set of three numbers using a number generator with numbers 0-9. The numbers 0-6 would represent couples who prefer indoor weddings. If all three numbers in the set are in the range 0-6, it would mean that all three couples prefer indoor weddings.

(ik you might not need this anymore, but I'm hoping it proves useful to others)

5 0
3 years ago
Read 2 more answers
Which equation is equivalent to the given equation? x^2+16x=22
Vaselesa [24]

Answer:answer is a (x+8)^2=86

Step-by-step explanation:

x+8=±√

​86

​

​​

2 Break down the problem into these 2 equations.

x+8=\sqrt{86}x+8=√

​86

​

​​

x+8=-\sqrt{86}x+8=−√

​86

​

​​

3 Solve the 1st equation: x+8=\sqrt{86}x+8=√

​86

​

​​ .

x=\sqrt{86}-8x=√

​86

​

​​ −8

4 Solve the 2nd equation: x+8=-\sqrt{86}x+8=−√

​86

​

​​ .

x=-\sqrt{86}-8x=−√

​86

​

​​ −8

5 Collect all solutions.

x=\sqrt{86}-8,-\sqrt{86}-8x=√

​86

​

​​ −8,−√

​86

​

​​ −8

x

​2

​​ +16x−22=0

2 Use the Quadratic Formula.

x=\frac{-16+2\sqrt{86}}{2},\frac{-16-2\sqrt{86}}{2}x=

​2

​

​−16+2√

​86

​

​​

​​ ,

​2

​

​−16−2√

​86

​

​​

​​

3 Simplify solutions.

x=-8+\sqrt{86},-8-\sqrt{86}x=−8+√

​86

​

​​ ,−8−√

​86

​

​​

6 0
3 years ago
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