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olga55 [171]
3 years ago
7

Find the exact value of trigonometric function tan(-3π/2)

Mathematics
1 answer:
belka [17]3 years ago
7 0

Answer:

Step-by-step explanation:

Tan

tan

(3π) = Undefined

2

Just remember that, the periodicity of tan function is π.

Tan tan

(3π)

2

Break down the angle inside the function by applying the fraction rule

a+b = a +b

c. c. c as: = tan (2π + π )

2

Simply: = tan (π+π)

2

As stated above,

tan (π+x)=tan(x) we get: = tan( π)

2

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\displaystyle\\|\Omega|=\binom{15}{3}=\dfrac{15!}{3!12!}=\dfrac{13\cdot14\cdot15}{2\cdot3}=455

a)

\displaystyle\\|A|=\binom{10}{3}=\dfrac{10!}{3!7!}=\dfrac{8\cdot9\cdot10}{2\cdot3}=120\\\\P(A)=\dfrac{120}{455}=\dfrac{24}{91}\approx26.4\%

b)

\displaystyle\\|A|=\binom{5}{3}=\dfrac{5!}{3!2!}=\dfrac{4\cdot5}{2}=10\\\\P(A)=\dfrac{10}{455}=\dfrac{2}{91}\approx2.2\%

c)

\displaystyle\\|A|=\binom{10}{2}\cdot5=\dfrac{10!}{2!8!}\cdot5=\dfrac{9\cdot10}{2}\cdot5=225\\\\P(A)=\dfrac{225}{455}=\dfrac{45}{91}\approx49.5\%

d)

A - at least one is spoilt

A' - none is spoilt

P(A)=1-P(A')

We calculated P(A') in a).

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