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
Answer:
Step-by-step explanation:
Given:
Substitution can be used to find the value of :
Hope this helps :)
6.23 is the answer you get that by square root 40
Answer:
40⁰
Step-by-step explanation:
<em><u>Main</u></em><em><u> </u></em><em><u>principles</u></em><em><u>:</u></em>
1.Alternate angles equal
2.Vertically opposite angles are equal
If angle 2 is 40⁰, then using the second principle,angle 3 is also 40⁰
Then, using the first principle,(alternate angles/angles that form any variation of "z"), angle 6 is also 40⁰.
There are other ways to do this like using co-interior angles, straight angles and other methods, these are the easiest to understand