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3 years ago

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 ...

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

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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:

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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