Answer:
It is an identity, the proof is in the explanation
Step-by-step explanation:
csc(A)-cot(A)=tan(A/2)
I'm going to start with right hand side
tan(A/2)=(1-cos(a))/(sin(a)) half angle identity
tan(A/2)=1/sin(a)-cos(a)/sin(a) separate fraction
tan(A/2)=csc(a)-cot(a) reciprocal and quotient identities
Answer:
<u>They are perpendicular</u>
Step-by-step explanation:
Perpendicular lines have slopes that are negated versions of the other or positive versions of the slope of the other. The slopes are also flipped.
Parallel lines have the same slope.
Neither is when the lines do not follow either of these definitions.
The slope of your two lines are -3/2 and 2/3. These slopes are flipped and the opposite negations of each other. <u>This means the lines are perpendicular.</u>
<u />
Answer:
$52.51
Step-by-step explanation:
16% of 45.27 is 7.24
45.27 + 7.24 is $52.51
Hope this helps!
Stay safe!!
Answer:
13.5
Step-by-step explanation:
Round the .45 to .5
Answer:
The tree is 16.25 m tall.
Step-by-step explanation:
Attached is a diagram that better explains the problem.
From the diagram we see that the distance between the top of the tree and the line of sight of the observer is x.
To find the height of the tree, we need to first find x and then add it to the height of the observers line of sight from the ground.
Using SOHCAHTOA trigonometric function:
tan(20) = x/39.2
=> x = 39.2 * tan(20)
x = 39.2 * 0.364
x = 14.27m
Hence, the height of the tree is:
(14.27 + 1.98)m
16.25m
The tree is 16.25 m tall.
