Answer:
Step-by-step explanation:
tan Θ + tan 2Θ + √3 tan Θ tan 2Θ = √3
tan Θ + tan 2Θ = √3 - √3 tan Θ tan 2Θ
tan Θ + tan 2Θ = √3 ( 1 - tan Θ tan 2Θ)
(tan Θ + tan 2Θ) / (1 - tanΘ tan 2Θ) = √3
tan(Θ + 2Θ) = √3
tan 3Θ = tan () we know tan Θ = tan α; Θ = nΠ + α, n belongs to z
3Θ = nΠ + Π/3
Θ = nπ/3 + Π/9 for all n in Z
Answer:
The required probability is 0.015625.
Step-by-step explanation:
Consider the provided information.
There number of tires are 4.
The number of workers are 4.
The probability that individual select front drivers side tire =
The probability that they all select front drivers side,tire is:
Similarly,
The probability that they all select front passenger side, tire is:
The probability that they all select rear driver side,tire is:
The probability that they all select rear passenger side, tire is:
Hence, the probability that all four workers select the same tire =
the probability that all four workers select the same tire =
Hence, the required probability is 0.015625.