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BigorU [14]
3 years ago
13

Find the reciprocal of 2.5, please explain what it is too.

Mathematics
1 answer:
Alexus [3.1K]3 years ago
3 0
A reciprocal is the inverse of a number. if you are given a whole number such as 2 or 3 or 4 or 5... etc. then you flip the number by putting a 1 as the numerator. so the reciprocal of 2 is 1/2 and for 3 it is 1/3 and 4 is 1/4... and so on...

first put your decimal in fraction form
2.5 = 2 and 5/10
= 2 and 1/2
= 5/2 ---> 2/5 (0.4) is the reciprocal of 2.5
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\large{ {tan}^{2}  \theta =  {( -  \frac{3}{2}) }^{2}  - 1} \\   \large{ {tan}^{2}  \theta =   \frac{9}{4}  - 1} \\   \large{ {tan}^{2}  \theta = \frac{9}{4}   -  \frac{4}{4} \longrightarrow  \frac{5}{4}  } \\  \large{tan \theta =  \frac{ \sqrt{5} }{ \sqrt{4} } } \\  \large \boxed{tan \theta =  \frac{ \sqrt{5} }{2} }

Since tan is negative in the second quadrant. Hence,

\large{ \cancel{ tan \theta  =  \frac{ \sqrt{5} }{2} } \longrightarrow \boxed{tan \theta =  -  \frac{ \sqrt{5} }{2} }}

Answer

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Step-by-step explanation:

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