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: E. None of the above
Step-by-step explanation:
The equation to solve the problem should look like...2x = $2.91 / 3
Converting 25 degrees to radians:
180° = π radians.
1° = π/180 radians.
25° = (π/180 radians) * 25
= (25/180) * π radians.
Leaving the answer in terms of π, 25/180 = 5/36
= (25/180) * π radians = (5/36)π radians or ≈ 0.1389π radians.
Therefore 25° = (5/36)π radians or ≈ 0.1389π radians
I hope this explains it.
I think why you did not get it was because you did not leave your answer in terms of π or as a multiple of π, so as a multiple of π our answer is:
= (5/36)π radians or ≈ 0.1389π radians
why isn't there a sig n between the 3(x+5)2-4
Answer:
f(x) is negative and g(x) is positive
Step-by-step explanation:
f(x) = 4-x
Rewriting
f(x) = -x+4
We recognize this as
y= mx+b or the representation of a line with slope -1 and y intercept 4
f(x) is linear
g(x) as we increase x by 1 we increase g(x) by 2
The slope is 2, and the y intercept is 1
y = 2x+1
Lets check a point
(2,5)
5 = 2(2)+1
5=5 so we are correct
f(x) is negative and g(x) is positive
