students were asked to simplify the expression . two students' work is given. student a step 1: step 2: step 3: 1 tan2 θ step 4:
1 answer:
Student B is wrong , student A is correct in simplifying the expression .
Expression B must be simplified to cot θ .
Formulas to be used are :
1 - θ =
θ
1 - θ =
θ .
Since , location of error is step 3 , we will start from there
[ ( 1 - θ ) / sin θ ] / cos θ = [ ( 1 -
θ ) / sin θ ] * [ 1 / cos θ ]
= ( 1 - θ ) / ( sin θ * cos θ )
= θ / ( sin θ * cos θ )
= cot θ .
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Since , the question is incomplete we assume it to be :
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Answer: Third option.
Step-by-step explanation:
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Where "b" is the base ( and
), "a" is a coefficient (
) and "x" is the exponent.
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).
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Answer:
Step-by-step explanation:
Given
Probability that an inspector doe not identify low-quality timber=0.20
(a)Probability that both inspector do not identify a low quality timber
(b)Let n be the no of inspector
Probability should be less than 1%=0.01
so
Taking both sides
x>2.861
thus minimum value of x is 3
(c)From part b it is clear that minimum 3 officer are required to to keep the low quality timber below 1%
on an average 2 officer are not sufficient to identify 4 low quality timber out of 100