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frosja888 [35]
3 years ago
9

Given cos theta=4/9 and csc theta 0 find sin theta and tan theta

Mathematics
2 answers:
BARSIC [14]3 years ago
8 0

Answer:

Its D on edge

Step-by-step explanation:

the other guy has the explanation

Korvikt [17]3 years ago
5 0
The correct question is
<span>Given cos theta=4/9 and csc theta < 0 find sin theta and tan theta
</span>
we know that
csc theta=1/sin theta
if csc theta < 0
then 
sin theta < 0

we have that
<span>cos theta=4/9

we know that
sin</span>² theta+cos² theta=1
so
sin² theta=1-cos² theta-----> 1-(4/9)²----> 1-(16/81)----> 65/81
sin theta=-√(65/81)---->-√65/9

the answer Part a) is 
sin theta=-√65/9

Part b) find tan theta

tan theta=sin theta/cos theta
tan theta=(-√65/9)/(4/9)-----> tan theta=-√65/4

the answer part b) is
tan theta=-√65/4
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