Answer:
See proof below
Step-by-step explanation:
show that
sinx/1+cosx=tanx/2
From LHS
sinx/1+cosx
According to half angle
sinx = 2sinx/2 cosx/2
cosx = cos²x/2 - sin²x/2
cosx = cos²x/2 - (1- cos²x/2)
cosx = 2cos²x/2 - 1
cos x + 1 = 2cos²x/2
Substitute into the expression;
sinx/1+cosx
= (2sinx/2 cosx/2)/2cos²x/2
= sinx.2/cos x/2
Since tan x = sinx/cosx
Hence sinx/2/cos x/2 = tan x/2 (RHS)
This shows that sinx/1+cosx=tanx/2
Answer:
yo ill help you but do you happen to have a argumentative essay written ill help u if you help me
She bought 2 1/4 more blue ribbon.
4 3/8 - 2 1/8 = 2.25
2.25= 9/4
9/4= 2 1/4
-Katie ;)
.75 is the decimal form of 3/4
Answer:
56.842 km/hr
0.947 km / min
15.789 m/s
Step-by-step explanation:
speed = distance / time
let's assume your teacher wants it in km/ hr
28.5 minutes = ? hours
60 minutes = 1 hour
we can multiply both sides of 60 minutes = 1 hour by 28.5/60 to get 28.5 minutes = 28.5/60 hours
distance = 27 km
27 km / (28.5/60) hours = 56.842 km/hr
in km / minute
27 km / 28.5 minutes = 0.947 km / min
in meters/second:
1 minute = 60 seconds
28.5 minutes = ? seconds
we can multiply both sides of the first equation by 28.5 to get
28.5 minutes = 1710 seconds
27 km = ? meters
1 km = 1000 meters
we can multiply both sides of the second equation by 27 to get
27km = 27000 meters
27000 meters / 1710 seconds = 15.789 m/s
