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ozzi
3 years ago
15

Sin(x+y)-sin(x-y)/cos(x+y)+cos(x-y)=tany how do i verify this?

Mathematics
1 answer:
dsp733 years ago
7 0

Answer:

Step-by-step explanation:

Numerator

sin

x

cos

y

+

cos

x

sin

y

−

[

sin

x

cos

y

−

cos

x

sin

y

)

=

sin

x

cos

y

+

cos

x

sin

y

−

sin

x

cos

y

+

cos

x

sin

y

=

2

cos

x

sin

y

Denominator

cos

x

cos

y

−

sin

x

sin

y

+

cos

x

cos

y

+

sin

x

sin

y

=

cos

x

cos

y

−

sin

x

sin

y

+

cos

x

cos

y

+

sin

x

sin

y

=

2

cos

x

cos

y

---------------------------------------------------------------

left side can now be expressed as

2

cos

x

sin

y

2

cos

x

cos

y

=

2

cos

x

sin

y

2

cos

x

cos

y

=

sin

y

cos

y

and  

sin

y

cos

y

=

tan

y

=

right side hence proved

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Graph each line. Give the slope-intercept form for all standard form equations.
8090 [49]

Answer:

Slope Intercept Form is y=2x.

Step-by-step explanation:

Since slope-intercept form is y=mx+b, you need to rewrite 2x-y=0 in Slope-Intercept Form.

First, you want to subtract 2x from both sides. That comes out to -y = (-2x.)

Then, multiply each term by -1. A negative times another negative is a possitive, so -y would become y, and -2x would become 2x, giving you the answer of y=2x.

4 0
3 years ago
Mila has biked 10 miles in 1.5 hours if Mila continues at the same rate,how many miles will she bike in 3 and a 1/2 hours?
Viefleur [7K]

Mike biked 10 miles in 1.5 hours. Mila bikes at the same rate too.

Therefore, she will bike x miles in 3.5 hours

(10/1.5) = (x/3.5)

You cross multiply

1.5x = 10 x 3.5

1.5x = 35

x = 35/1.5

x = 23 miles (approximately)

I hope this helps

6 0
3 years ago
I need to find the limit
Digiron [165]
For x=\dfrac{1}{2} the function is undefined.

\displaystyle
\lim_{x\to\tfrac{1}{2}^-} x\sec (\pi x)=\infty\\
\lim_{x\to\tfrac{1}{2}^+} x\sec (\pi x)=-\infty\\\\
\lim_{x\to\tfrac{1}{2}^-}x\sec (\pi x)\not = \lim_{x\to\tfrac{1}{2}^+}x\sec (\pi x)

So, the limit doesn't exist.
8 0
3 years ago
Please help me with this question on algebra
grandymaker [24]
The solution is option D.

  0     4
- 6     1
  3    -4
 
Rember rows times columns.

=>
a11 = 4*0 + 0*(-3) = 0

a12 = 4*1 + 0*1 = 4 + 0 = 4

a21 = -1*0 + 2*(-3) = 0 - 6 = -6

a22 = -1*1 + 2*1 = -1 + 2 = 1

a31 = -3*0 + (-1)*(-3) = 0 + 3 = 3

a32 = -3*1 + (-1)*1 = -3 - 1 = -4
4 0
3 years ago
The sum of two numbers is 2490 and if 6.5 percent of one no. is equal to 8.5 percent of the other, then numbers are ?? Make sure
lions [1.4K]

Answer:

The two number are :

x = 1411

y = 1079

Step-by-step explanation:

Let the two numbers = x and y

The sum of two numbers is 2490

x + y = 2490..... Equation 1

If 6.5 percent of one no. is equal to 8.5 percent of the other,

Hence:

6.5% of x = 8.5% of y

0.065x = 0.085y

Make x the subject of the Formula

x = 0.085y/0.065

x = 1.308y

We substitute 1.308y for x Equation 1

x + y = 2490..... Equation 1

1.308y + y = 2490

2.308y = 2490

y = 2490/2.308

y = 1078.8561525

y = 1079

x + y = 2490..... Equation 1

x = 2490 - y

x = 2490 - 1079

x = 1411

6 0
3 years ago
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