$\bf \textit{Product to Sum Identities} \\\\ sin(\alpha)sin(\beta)=\cfrac{1}{2}[cos(\alpha-\beta)\quad -\quad cos(\alpha+\beta)]\qquad \leftarrow \textit{we'll use this one} \\\\\\ cos(\alpha)cos(\beta)=\cfrac{1}{2}[cos(\alpha-\beta)\quad +\quad cos(\alpha+\beta)] \\\\\\ sin(\alpha)cos(\beta)=\cfrac{1}{2}[sin(\alpha+\beta)\quad +\quad sin(\alpha-\beta)]$

$\bf cos(\alpha)sin(\beta)=\cfrac{1}{2}[sin(\alpha+\beta)\quad -\quad sin(\alpha-\beta)] \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ sin(5x)sin(3x)\implies \cfrac{cos(5x-3x)-cos(5x+3x)}{2}\implies \cfrac{cos(2x)-cos(8x)}{2}$

6 0

3 years ago

Read 2 more answers

Which direction does the graph of the equation shown below open? right, left, up, or down? x^2+6x-4y+5=0

Mademuasel [1]

X^2 + 6x - 4y + 5 = 0
4y = x^2 + 6x + 5
y = 1/4x^2 + 3/2x + 5/4

Since, x is the squred part and x^2 has a positive coefficient, therefore, the graph opens up.

7 0

4 years ago

Chris can be paid in one of two ways. Plan A is a salary of

Lilit [14]

Answer

$6000

Step-by-step explanation:

Using the formulas

PLAN A

y = .09x + 350

PLAN B

y = .03 + 704

He makes $890 on plan A and only $884 on plan B

5 0

3 years ago

3-4h+7-6n use h=7 and n=2

antiseptic1488 [7]

4x7=28
6x2=12
3-28+7-12
-25+7-12
-25+(-5)
(-30)

3 0

4 years ago