The complete question in the attached figure
we have that
tan a=7/24 a----> III quadrant
cos b=-12/13 b----> II quadrant
sin (a+b)=?
we know that
sin(a + b) = sin(a)cos(b) + cos(a)sin(b<span>)
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step 1
find sin b
sin²b+cos²b=1------> sin²b=1-cos²b----> 1-(144/169)---> 25/169
sin b=5/13------> is positive because b belong to the II quadrant
step 2
Find sin a and cos a
tan a=7/24
tan a=sin a /cos a-------> sin a=tan a*cos a-----> sin a=(7/24)*cos a
sin a=(7/24)*cos a------> sin²a=(49/576)*cos²a-----> equation 1
sin²a=1-cos²a------> equation 2
equals 1 and 2
(49/576)*cos²a=1-cos²a---> cos²a*[1+(49/576)]=1----> cos²a*[625/576]=1
cos²a=576/625------> cos a=-24/25----> is negative because a belong to III quadrant
cos a=-24/25
sin²a=1-cos²a-----> 1-(576/625)----> sin²a=49/625
sin a=-7/25-----> is negative because a belong to III quadrant
step 3
find sin (a+b)
sin(a + b) = sin(a)cos(b) + cos(a)sin(b)
sin a=-7/25
cos a=-24/25
sin b=5/13
cos b=-12/13
so
sin (a+b)=[-7/25]*[-12/13]+[-24/25]*[5/13]----> [84/325]+[-120/325]
sin (a+b)=-36/325
the answer issin (a+b)=-36/325
Answer:
1.25
Step-by-step explanation:
cause 5/4÷ 12/12 is 1/8 and 1/8 as a decimal is 1.25.
Answer:
“We need to accept that we won’t always make the right decisions, that we’ll mess up royally sometimes – understanding that failure is not the opposite of success, it’s part of success.” – Arianna Huffington
Step-by-step explanation:
Answer:
It's linear and it stays constant with every number it increases by 6 you will notice that almost immediately therefore making this simplistic and unworthy of my time no offense I'm only here for the points.
Step-by-step explanation: I hope this helps!
Angle between
is
° .
<u>Step-by-step explanation:</u>
We have , two vectors u = <-5, -4>, v = <-4, -3> or ,
We need to find angle between these two vectors . Let's find out:
We know that dot product of two vectors is defined as :
, where x is angle between u & v !
⇒ 
⇒ 
Now , 
⇒ 
⇒
{
}
⇒ 
Now , Modulus of any vector
is
So ,

Putting all these values in equation
we get:
⇒ 
⇒ 
⇒
{
}
⇒
°
Therefore , Angle between
is
° .