For the three basic trig identities (sin, cos, tan) there are three more which act as their reciprocals (csc, sec, and cot respectively)
A reciprocal of x can be represented as 1/x.
Therefore, cscӨ can also be represented as the reciprocal of sinӨ...1/sinӨ.
In that case, our answer should always be true so long as we put in a real number for theta, because that's the domain of sinӨ, right? However, we also have to satisfy the domain of cscӨ, and the limitations become extremely obvious when you look at this reciprocal identity equation...sinӨ cannot be zero because it is impposible to divide by zero! Looking at the unit circle, any multiple of π will make sin<span>Ө = 0, so there's your answer.
D. All real numbers except multiples of pi</span><span>
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Answer:
here
Step-by-step explanation:
The probability of getting 1 red is 4/7. The probability of getting 2 reds in a row is (4/7)^2 = 16/49.
B because
Solve for the first variable in one of the equations, then substitute the result into the other equation.
Answer:
k = 8
Step-by-step explanation:
8(10 - k) = 2k
First, distribute within the parenthesis,
80 - 8k = 2k
Add 8k to both sides of the equation
80 = 10k
Divide both sides by 10 to get your answer
8 = k
I hope this helps :)