Hearts win. In a new card game, you start with a well-shuffled full deck and draw 3 cards without replacement. If you draw 3 hea
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Answer:
1
Step-by-step explanation:
First, convert all the secants and cosecants to cosine and sine, respectively. Recall that and
.
Thus:
Let's do the first part first: (Recall how to divide fractions)
For the second term:
So, all together: (same denominator; combine terms)
Note the numerator; it can be derived from the Pythagorean Identity:
Thus, we can substitute the numerator:
Everything simplifies to 1.