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Tpy6a [65]
3 years ago
13

Please help me!! Use the identities

Mathematics
1 answer:
jarptica [38.1K]3 years ago
7 0

Answer:

tan 5π/24.

Step-by-step explanation:

We use the identity:

tan (A - B) =   (tan A - tan B) / (1 + tan A tan B)

so the first expression simplifies to

tan ( π/3 -  π/8)

= tan 5π/24.

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4 0
3 years ago
Write the product (4 + i)(4 − i) in the form a + bi. A. 16 − i B. 16 − i2 C. 17 D. 8
bonufazy [111]

Answer:

A.16–i is correct.

Step-by-step explanation:

(4+i)(4–i). [(a+b)(a–b)=(a²–b²)]

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3 0
3 years ago
Three fair dice are rolled, one red, one green and one blue. What is the probability that the upturned faces of the three dice a
r-ruslan [8.4K]

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Step-by-step explanation:

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Favorable outcomes : When the upturned faces of the three dice are all of different numbers i.e. no repetition of numbers allowed

By Permutations , the number of favorable outcomes = ^6P_3=\dfrac{6!}{(6-3)!}=\dfrac{6!}{3!}=6\times5\times4=120

The probability that the upturned faces of the three dice are all of different numbers = \dfrac{\text{Favorable outcomes}}{\text{Total outcomes}}

=\dfrac{120}{216}=\dfrac{5}{9}

The probability that the upturned faces of the three dice are all of different numbers  is \dfrac{5}{9} .

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