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stepan [7]
3 years ago
12

Domain of ln(1-2cosx)​

Mathematics
1 answer:
dezoksy [38]3 years ago
3 0
Can't type out the symbols on here so I took a picture

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Find sin(a+b) if tan(a)=7/24 where a is in the third quadrant
ludmilkaskok [199]
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>)
</span>
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 is
sin (a+b)=-36/325

8 0
3 years ago
What is the simple interest paid if $300 principal 6 1/2 % interest rate for 1 year
tia_tia [17]

Answer:

$300×13/2=150

150×13=$1,950

8 0
3 years ago
The length of a swimming pool is 8m longer than its width and the area is 1o5m2?
Nina [5.8K]
Let the breadth be x
length=x+8
according to the question
area of the pool = l*b
105=x*x+8
if u solve this equation further u will get the answer
5 0
3 years ago
Read 2 more answers
Is this figure a quadrilateral?
choli [55]

Answer:

Yes its a quadrilateral

Step-by-step explanation:

It has 4 sides

8 0
2 years ago
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A herd of 62 horses has 3 white and some black horses. What is the ratio of black horses to all horses?
larisa [96]
The ratio I think would be 59:3
4 0
3 years ago
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