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

Mathematics

1 answer:

Lunna [17]2 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

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

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

You might be interested in

Zach has a credit card with a $500 limit. He has used the card to pay $120.32 for groceries. How much more can Zach spend withou

matrenka [14]

500-120.32 = 379.68

4 0

2 years ago

Choose the equation that represents the graph below:

Zolol [24]

Y = x + 3 is the answer

the y-intercept is 3, so the answer should have a "+ 3" in it

when you are trying to determine the gradient (the x), you can use two methods

first method:
picture/sketch the line. If the line is going upwards (from left to right), it's positive. If the line is going downwards (from left to right), it's negative. However, this method only works for this question, you should try using the second method more

second method:
use the formula: (y - y) / (x - x)
So, you use the y from one of the brackets and subtract the y from the other bracket. Then, you put it over the x ,from the same bracket as the first y, and subtract the x from the second bracket. If you are confused, look at the picture. (Sorry for the messy explanation)