Thank you in advance

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

dsp73

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

7 0

3 years ago

The carnival fundraiser at Westville Elementary School raised $300 on Friday. On Saturday, the carnival will raise 480 percent o

kiruha [24]

Answer:

your answer for 300+480=780 . that was on Saturday , now you have $780 the carvinal..raised 1480 .

Step-by-step explanation:

tell me if I'm wrong thank u (:

6 0

3 years ago

In a sociology class there are 1414 sociology majors and 1111 non-sociology majors. 33 students are randomly selected to present

saul85 [17]

Answer: $0.4065$

Step-by-step explanation:

Given : In a sociology class there are 14 sociology majors and 11 non-sociology majors.

Total students = 14+11=25

Number of students are randomly selected = 3

Then, the number of ways to select 3 students from 25 students :-

$^{25}C_3=\dfrac{25!}{(25-3)!3!}=\dfrac{25\times24\times23\times22!}{22!3!}\\\\=2300$

Number of ways to select at least 2 of the 3 students re non-sociology majors :-

$^{14}C_1\times^{11}C_2+^{14}C_0\times ^{11}C_{3}\\\\=(14)\times\dfrac{11!}{2!(11-2)!}+(1)\times\dfrac{11!}{3!(11-3)!}\\\\=(14)(11\times5)+\dfrac{11\times10\times9}{6}\\\\=770+165=935$

The probability that at least 2 of the 3 students selected are non-sociology majors will be :-

$\dfrac{935}{2300}=0.40652173913\approx0.4065$

8 0

3 years ago

( HELP ASAP! EASY POINTS ) The picture below shows a box sliding down a ramp:

TEA [102]

Answer:

AC = 14 cosec(68)

Explanation:

Here given:

angle: 68°

opposite: 14 ft

hypotenuse: AC

Use sine rule:

$\rightarrow \sf sin(x) = \dfrac{opposite}{hypotenuse}$

$\rightarrow \sf sin(68) = \dfrac{14}{AC}$

$\rightarrow \sf AC= \dfrac{14}{ sin(68) }$

$\rightarrow \sf AC= 14 \ cosec(68)$

4 0

2 years ago

Help pleaseeee!!!!!!!

mylen [45]

Help with what? I need more information

6 0

3 years ago