Using the addition or subtraction formulas for sine or cosine.... sinasinb=(cos(a-b)-cos(a+b))/2

Mathematics

1 answer:

raketka [301]3 years ago

7 0

Answer:

The answer w'll be obtained using formulas

cos(a+b) = cosacosb - sinasinb

cos(a-b) = cosacosb + sinasinb

Step-by-step explanation:

Using the trigonometric formula of addition and subtraction of cosine

cos(a+b) = cosacosb - sinasinb

cos(a-b) = cosacosb + sinasinb

w'll get the desired answer.

To be solve

L.H.S = R.H.S

sinasinb = (cos(a-b)-cos(a+b)/2

as we know that <u><em>cos(a+b) = cosacosb - sinasinb</em></u>

sinasinb = (cos(a-b) - (cosacosb -sinasinb))/2

as we know that <u><em>cos(a-b) = cosacosb + sinasinb</em></u>

sinasinb = ((cosacosb + sinasinb) - (cosacosb -sinasinb))/2

sinasinb = (cosacosb + sinasinb - cosacosb + sinasinb)/2

sinasinb = (2sinasinb)/2

sinasinb = sinasinb

hence L.H.S = R.H.S

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Please and thank you help me

Art [367]

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Answer:

your graph is correct
y = 3x -5

Step-by-step explanation:

The graph shows you the line has a "rise" of 1-(-2) = 3 for a "run" of 2-1 = 1, so the slope is 3/1 = 3.

The y-intercept is seen to be -5, so the equation is ...

y = mx +b . . . . . where m is the slope (3) and b is the y-intercept (-5)

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The points and line are plotted correctly, so you already have your graph.

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3 years ago

Please help!

postnew [5]

Lets solve the equation first:
<span> 0.5 – |x – 12| = –0.25
</span>= 1/2 - |x - 12| = -1/4
= 2 - 4<span>|x - 12| = -1
= 4|x - 12| = 3
= |x - 12| = 0.75
positive case, x >= 12
x - 12 = 0.75
x = 12.75
negative case, x < 12
x - 12 = -0.75
x = 11.25
So those are the two solutions.
These apply:
</span>1.) The equation will have no solutions.
2.) A good first step for solving the equation is to subtract 0.5 from both sides of the equation.
<span>3.) A good first step for solving the equation is to split it into a positive case and a negative case.
</span><span>5.) The negative case of this equation is x – 12 = –0.75.</span>

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3 years ago

Read 2 more answers

Find the midpoint of the line segment with the endpoints A and B.

zavuch27 [327]

Answer:

Step-by-step explanation:

The midpoint M of two endpoints of a line segment can be found by using the formula

$M = ( \frac{x1 + x2}{2} , \: \frac{y1 + y2}{2} )\\$