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Sergio039 [100]
3 years ago
11

Rewrite sin(x)cos2(x) − sin(x) as an expression containing a single term

Mathematics
1 answer:
Veronika [31]3 years ago
8 0

Answer:   -2sin³x

Step-by-step explanation:

cos ( x + y ) = cosx*cosy - sin y*sinx         (1)

if  x = y  (1)  could be express as: cos (2x) = cosx*cosx -sinx*sinx

cos 2x = cos²x -sin²x

Then   sin(x)*cos2(x) − sin(x)      ⇒ sinx * ( cos²x - sin²x ) - sinx

multiplying  sinx*cos²x -sin³x  -sinx

sinx (commom factor  sinx (cos²x -sin²x -1)    but   1-cos²x = sin²x

or -1 +cos²x = -sin²x          ⇒sinx( -sin²x -sin²x)   ⇒sinx (-2sin²x)

-2sin³x

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An arithmetic sequence has this recursive formula:
horsena [70]

Answer:

\text{\bf{C.}}\quad a_n=4+(n-1)(-7)

Step-by-step explanation:

An arithmetic sequence that is described by the explicit formula ...

  a_n=a_1+(n-1)d

can also be described by the recursive formula ...

  \left \{\begin{array}{l}a_1=\text{(first term)}&a_n=a_{n-1}+d&\end{array}\right.

Matching parts of the formulas, we see that a1 = 4, d = -7. Putting these values into the explicit formula gives ...

a_n=4+(n-1)(-7)

4 0
3 years ago
A manager at a shipping company will purchase boxes in the shape of right rectangular prisms. He wants the volume of each box to
Archy [21]

Answer:

Step-by-step explanation:

Ok so if u are shipping boxes in a right rectangular prism u will need to either divide or multiply. if he wants to make each box to be exactly 98 cubic feet then he will need to divide so when u do the u will need to find the first part of the answer then u will divide it by 98 cubic feet :> hope u get what i meant

6 0
3 years ago
Log x+log7=log 42 solve please
viva [34]
Log x+ log 7= log 42
log x=log 42 - log 7
log x=log 42/7                [  log a -  log b= log (a/b)   ]
log x= log 6

therefore:
x=6

Answer: x=6
3 0
4 years ago
A quadrilateral has two consecutive angles that measure 90 degrees each
hoa [83]
The answer is C)i, ii, iii, iv


6 0
4 years ago
Read 2 more answers
Solve for x. Show the equation you used and your work.
IgorC [24]
Here, You need to apply "Proportionality Theorem"
According to this theorem, the ratio of components of a leg would be equal to the ratio of corresponding components of another leg.

In mathematical form, 
TV/VS = TW/WU

Substitute their values, 
14/6 = 21/(x+4)
14(x+4) = 21*6
14x+56 = 126
14x = 126-56
x = 70/14
x = 5

In short, Your Answer would be 5

Hope this helps!
4 0
3 years ago
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