Recall that and
for all
. So
For , we expect both
and
(i.e. the sine and cosine of any angle that lies in the first quadrant must be positive). By definition of absolute value,
if
.
So we have
making H the answer.
C is always true, because the inequality reduces to x > y.
Answer:
Third option.
Step-by-step explanation:
For this exercise you need to remember one of the properties for exponents.
There is a property called the "Negative property of exponents" which states the following:
Where
As you can observe, is the reciprocal of
In this case you have the following expression given in the exercise:
Observe the expression. As you can notice, the base "n" has a negative exponent, which is -6.
Therefore, applying the Negative property of exponents explained at the beginning of this explanation, you can simplify the expression.
Then, the simplified form of is the one shown below: