naomi0913 naomi0913
  • 15-05-2017
  • Mathematics
contestada

If csc B = b, which number below is not a possible value of b?

a.) -1.75
b.) 0.5
c.) 1
d.) 1.05

Respuesta :

WojtekR
WojtekR WojtekR
  • 15-05-2017
We know that for all B:

[tex]\csc\text{B}\in(-\infty,-1]\cup[1,\infty)[/tex]

So the answer is 0,5 (b.)
Answer Link
erato erato
  • 25-05-2019

Answer with Step-by-step explanation:

We know that:

[tex]cscB=\dfrac{1}{sinB}[/tex]

cscB=b

implies that

sinB=1/b

We also know that value of sin lies between -1 and 1

Hence,

[tex]-1\leq \dfrac{1}{b}\leq 1[/tex]

This means that -b≤1≤b

i.e. 1≤lbl

Hence, b≥1 or b≤-1

Hence, option b) 0.5 is incorrect

Answer Link

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