Question

Suppose sin(B) = -3/4 and 180o < B

<270o. Find sec(B).

Answer 1

Answer:

sec(B)=-1.512

Step-by-step explanation:

$sin(B)= \frac{-3}{4}\\\\B=sin^{-1}\frac{-3}{4}\\\\B=-48.59^o$

Considering the figure attached

$B=180^o+48.59^o\\\\B=228.59^o\\\\180^o<228.59^o<270^o$

$cos(228.59^o)=-0.6614\\\\sec(228.59^o)=-1.512$