All of the following are examples of quantitative data EXCEPT ________. All of the following are examples of quantitative data E
1 answer:
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Answer:
Second answer
Step-by-step explanation:
We are given and
. What we have to find are
and
.
First, convert to
via trigonometric identity. That gives us a new equation in form of
:
Multiply both sides to get rid of the denominator.
Then divide both sides by -3 to get .
Hence,
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Next, to find , convert it to
via trigonometric identity. Then we have to convert
to
via another trigonometric identity. That gives us:
It seems that we do not know what is but we can find it by using the identity
for
.
From then
.
Therefore:
Then use the surd property to evaluate the square root.
Hence,
Now that we know what is. We can evaluate
which is another form or identity of
.
From the boxed values of and
:-
Then rationalize the value by multiplying both numerator and denominator with the denominator.
Hence,
Therefore, the second choice is the answer.
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Summary
- Trigonometric Identity
- Surd Property
Let me know in the comment if you have any questions regarding this question or for clarification! Hope this helps as well.