Trigonometry problem. Please show your solution and explain it. thank you !!

Mathematics

1 answer:

WINSTONCH [101]3 years ago

7 0

Cute one!
<span>
</span>Summarizing:
<span>sec(acot(tan(asin(sin(pi/3)))) .... use asin(sin(x))=x
</span>=sec(acot(tan(pi/3)))
=sec(acot(sqrt(3))) ......... use acot(x)=atan(1/x)
=sec(atan(1/sqrt(3)))
=sec(atan(sqrt(3)/3)) .... evaluate atan(sqrt(3)/3), use unit circle
=sec(pi/6)
=1/cos(pi/6)...... evaluate cos(pi/6), use unit circle
=1/(sqrt(3)/2)
=2/sqrt(3) .... now rationalize
=2sqrt(3)/3

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Irving can I remember the correct order of the five digits on his ID number he does remember that the ID number contains the dig

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Answer: $\frac{27}{125}$

Step-by-step explanation:

Here the total numbers are 1, 4, 3, 7, 6

Since the total number of possible arrangement = $5\times 5 \times5 \times 5 \times 5=5^5$

The total number of the odd numbers in the given numbers = 3

Thus the possible arrangement that the first three digits will be odd numbers = $3\times 3\times 3\times 5\times 5=3^3\times 5^2$

Thus, the probability that the first three digits of Irvings ID number will be odd numbers = the possible arrangement that the first three digits will be odd numbers / total possible arrangement = $\frac{3^3\times 5^2}{5^5} = \frac{3^2}{5^{5-2}}$