Answer:
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<u>Trigonometric identities</u>
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Therefore, using the <u>identities</u>, the given expression can be <em>simplified</em> as follows:

Step-by-step explanation:
first find two numbers u multiply to get 7 and add to get 8: (1×7)=7,(1+7)=8
so in the first bracket u put (x +1) n in the other (x+7)
ans: (x+1)(x+7)
Answer:
The probability that the two rats are from the first litter is 14.28%, and the probability that the two rats are from the second litter is 34.28%.
Step-by-step explanation:
Since a cage holds two litter of rats, and one litter comprises one female and five males, while the other litter comprises seven females and two males, and a random selection of two rats is done, to find the probability that the two rats are from the same litter the following calculation must be performed:
6/15 x 5/14 = 0.1428
9/15 x 8/14 = 0.3428
Therefore, the probability that the two rats are from the first litter is 14.28%, and the probability that the two rats are from the second litter is 34.28%.
The answer is x*2 equals negative 2
Starting from the formula

We can divide all the angles by 2 and we get

And finally

Angle x is a third quadrant angle, meaning that it is somewhere between 180 and 270. This implies that x/2 lies between 90 and 135. So, x/2 is a second quadrant angle, and its cosine is negative. This means that we can update the previous equation to

You know that

so, plug that value into the expression and you'll get cos(x/2).