I think angle a but I’m 1 percent sure
so you have
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If you don't remember the value of off the top of your head, it's possible to derive it with some identities and knowing that .
Consider the expression . With the angle sum identity, we have
and the double angle identities give
Write everything in terms of cosine:
Now let . Then
Let . Then
The rational root theorem suggests some possible roots are
and checking all of these, we find that is among the solution set. In fact,
We have only for odd multiples of , so it follows that
Answer:
=−15a2c7−12a3c4+24a2c4
Step-by-step explanation:
Answer:
Domain: all real numbers except 0 and -3
Vertical asymptotes: x = 0; x = -3
Step-by-step explanation:
The domain is the set of numbers that can be substituted for x.
The expression has x in the denominator. Since division by zero is undefined, x cannot have any value that would cause a zero in the denominator. To find which values of x cause a zero in the denominator, we set the denominator equal to zero and solve the equation for x.
2x^2 + 6x = 0
Factor 2x.
2x(x + 3) = 0
Divide both sides by 2.
x(x + 3) = 0
x = 0 or x + 3 = 0
x = 0 or x = -3
Since the values x = 0 and x = -3 cause the denominator to equal zero, these two values of x must be excluded from the domain.
Domain: all real numbers except 0 and -3
The vertical asymptotes happen at the x values excluded from the domain.
Vertical asymptotes: x = 0; x = -3
Answer:
20%
Step-by-step explanation:
90 - 75 = 15
15 ÷ 75 = 0.2
0.2 x 100% = 20%