Answer:
For each of the three basic trig functions, (sin, cos, tan) there are three more which act as their reciprocals. (csc, sec, and cot respectively)
Reciprocals, of course, are flipped fractions. If you have some number x, the reciprocal can be expressed as .
An important property of reciprocals is that if you mutliply them together they will cancel out--take for example.
Since secӨ is literally defined as the reciprocal of cosӨ, it is evident that
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Step-by-step explanation:
Answer:
The correct answer would be , a = 168 tickets were sold
Step-by-step explanation:
Cost of adults ticket = $10.5
Cost of Students Ticket = %3.75
Sales Totals for opening night = $2071.5
Equation would be
10.5a + 3.75b = 2071.5
If 82 students attended the the play at that night, it means the value of b would be 82. Thus substituting the value in the above equation, we can find the value of a, which means how many adult tickets were sold.
10.5a + 3.75(82) = 2071.5
10.5a + 307.5 = 2071.5
10.5a = 2071.5-307.5
10.5a = 1764
a= 168 tickets were sold.
If you square an integer, there is no way to get a negative as a result.
Let's look at -5².
-5² means -5 × -5 or 25.
6² means 6 × 6 or 36.
So, there is no way to end up with a negative.