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anastassius [24]
3 years ago
5

15) will mark BRAINLIEST AND 10 POINTS.

Mathematics
2 answers:
vaieri [72.5K]3 years ago
6 0
Equation identically true
Ksivusya [100]3 years ago
6 0
Cotx=cosx/sinx
cot²x=cos²x/sin²x
cscx=1/sinx, cscx+1=1/sinx +sinx/sinx=(1+sinx)/sinx

cot²x/(cscx+1)=(cos²x/sin²x)*(sinx/(1+sinx)=cos²x/[sinx(1+sinx)]

Recall that sin²x+cos²x=1, so cos²x=1-sin²x=(1+sinx)(1-sinx)

therefore: cos²x/[sinx(1+sinx)] can be written as
(1+sinx)(1-sinx)//[sinx(1+sinx)]=(1-sinx)/sinx=the left side.

You might be interested in
Please I really need help!? NOW!! Will give brainest!!
Ket [755]

Answer:

the figure is a rectangle with a side of trapezium

according to my calculation the answer is

196m²

<h3>explanation </h3>

Area of trapezium =½(10+8)×4=36

Area of rectangle =10×16=160

add=160+36

<h3>therefore the answer is 196m²</h3>
5 0
2 years ago
john bought 53 cartons of eggs,and each had 24 eggs.250 of the eggs were bad.how many good eggs did she get?​
Mnenie [13.5K]

Answer:

1022

Step-by-step explanation:

total of eggs

= 53 × 24

= 1272

the good eggs

= 1272 - 250

= 1022

6 0
3 years ago
The total weight of three tables is 16.9 pounds. The first table is twice as heavy as the second table and the weight of the thi
gavmur [86]
X the 1st table
y the second
z the third

The equation is : x+y+z =16.9

But we know (given) that x=2y  & z=(1/3)y

Calculate everything in term of x:

x= 2y==> x/2 =y

z=(1/3)y ==> & since y=x/2 then z= (1/3)(x/2)==> z=x/6; y=5.07 & z =1.69

x + x/2 + x/6 = 16.9===>1.666x = 16.9===> x= 10.14
8 0
3 years ago
Convert (4,000°) to rectangular form.
Dafna1 [17]

Answer:

x=4, y =0

Step-by-step explanation:

To convert to rectangular from, we use the formulas

x= rcos theta

y = rsin theta


Substitute  r=4 and theta =0

x = 4 cos (0)   = 4 (1) = 4

y = 4 sin (0) = 4(0) = 0


In rectangular form  (4,000°)  equals ( 4, 0)

5 0
4 years ago
Calcular el volumen en m3 de la esfera en el que el área de uno de sus círculos maximos es 36pim2
Strike441 [17]

Answer:

The volume of the sphere is V=288\pi\ m^3

Step-by-step explanation:

<u><em>The question in English is</em></u>

Calculate the volume in m^3 of the sphere in which the area of one of its maximum circles is 36pi m^2

we know that

The radius of the maximum circle in the sphere is equal to the radius of the sphere

Step 1

Find the radius of the maximum circle

The area of the circle is

A=\pi r^{2}

we have

A=36\pi\ m^2

substitute and solve for r

36\pi=\pi r^{2}

Simplify

36=r^{2}

take the square root both sides

r=6\ m

Step 2

Find the volume of the sphere

The volume of the sphere is

V=\frac{4}{3}\pi r^{3}

substitute the value of r

V=\frac{4}{3}\pi (6)^{3}

V=288\pi\ m^3

6 0
3 years ago
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