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Zielflug [23.3K]
2 years ago
12

Simplify the expression,cos x cotx + sinx​

Mathematics
2 answers:
olya-2409 [2.1K]2 years ago
8 0

Answer:

cosec x

Step-by-step explanation:

\cos  x \:  \cot x +  \sin  x \\  \\  = \cos  x  \times  \frac{\cos  x }{ \sin  x }  +  \sin  x   \\  \\  = \frac{\cos^{2}  x +\sin^{2}  x }{ \sin  x }  \\  \\  = \frac{1}{ \sin  x }  \\  \\  = cosec x \\  \\   \red{ \boxed{ \bold{\therefore \:  \cos  x \:  \cot x +  \sin  x = cosec \: x}}}

blondinia [14]2 years ago
3 0

Answer:

csc x in edge

Step-by-step explanation:

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collen family plans to paint the window of their house. her father will paint twice as many window as her mother, and collen and
saw5 [17]

Answer:

21 windows

Step-by-step explanation:

colleen's family plans to paint the windows of their house. her father will paint twice as many windows as her mother, and Colleen and her 2 brothers will paint an equal number of the rest of the windows. Colleen decided to do her own share and her mother's share and paints 7 window, which is one less than her father's share. how many windows are in their house?

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Let the number of windows each painted by Colleen and her 2 brothers be z since they would paint the same number of windows. The total number of windows to be painted = 2y + y + z + z + z = 3y + 3z = 3(y + z).

Then number of windows needed to be painted by Colleen and her mother is given as z + y. Since Colleen painted 7 windows as her share and her mother share i.e. y + z = 7

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5 0
3 years ago
What is 45 divisible by
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The answer to that is 5,6,and 1
5 0
3 years ago
Read 2 more answers
According to the rational root theorem, which is a factor of the polynomial
vekshin1
Supposing 2x-7 were a factor, then 7/2 would be a root.  Use synth. div. to determine whether 7/2 actually is a root:

         __________________________
7/2   /   6    -21     -4    24    -35
                   21      0    -14    35
        ----------------------------------------
            6      0      -4     10     0

Since the remainder is zero, 7/2 is a root and 2x - 7 is a factor.

You could check out the other possible factors in the same manner.

5 0
2 years ago
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