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eduard
2 years ago
13

Prove that 1/1+sinA -1/1+sinA =2tanAsinA​

Mathematics
1 answer:
enyata [817]2 years ago
3 0

Step-by-step explanation:

\frac{1}{1 +  \sin( \alpha ) }  \frac{1}{1 -  \sin( \alpha ) }  \\  \frac{1 -  \sin( \alpha ) + 1 +  \sin( \alpha )  }{(1 +  \sin( \alpha ))(1 -  \sin( \alpha ))  }  \\  =  \frac{2}{1 -  {sin}^{2} \alpha }  \\  \frac{2}{ {cos}^{2} \alpha  } = 2  \:  {sec}^{2}  \alpha

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Find the surface area of a solid cylinder with radius 2m and length 6m ( famula)π=3.14​
Softa [21]

Answer:

100.544m

Step-by-step explanation:

Surface area of a cylinder = 2pie x rh + 2pie x r² where pie = 3.142

Therefore, (2x3.142x2x6) + (2x3.142x2²) =100.544m

6 0
2 years ago
Find the seventh term of the expansion of (3x+7y)^11
Ber [7]

13,207,982,634 x⁵y⁶

Step-by-step explanation:

We understand that in Binomial Theorem, expounding of polynomial functions, we have a rule that also involves the use of Pascal's Triangle to find the Coefficients that will be used to multiply each variable as the polynomial function is multiplied by itself several times;

(3x + 7y)^11  =  ₁₁C₀ (3x)¹¹(7y)⁰ + ₁₁C₁ (3x)¹⁰(7y)¹ + ₁₁C₂ (3x)⁹(7y)² + ₁₁C₃ (3x)⁸(7y)³ + ₁₁C₄ (3x)⁷(7y)⁴ + ₁₁C₅ (3x)⁶(7y)⁵ + ₁₁C₆ (3x)⁵(7y)⁶....

The 7th term in our case is;

₁₁C₆ (3x)⁵(7y)⁶

According to the attached Pascals Triangle, the coefficient  for our term should be 462, so;

462 (3x)⁵(7y)⁶

= 462 (243x⁵) (117,649y⁶)

= 13,207,982,634 x⁵y⁶

Learn More:

brainly.com/question/2609570

brainly.com/question/11861820

#LearnWithBrainly

3 0
3 years ago
Read 2 more answers
The circle given by (x-1)^2 + (y-1)^2 =1
Olenka [21]

Answer:

Step-by-step explanation:

its center is (1,1) and radius=1

8 0
3 years ago
The points ????(0,0), ????(−4,1), ????(−3,5), and ????(1,4) are the vertices of parallelogram OABC Is this parallelogram a
gavmur [86]

Answer:

Yes, parallelogram OABC is a rectangle.

Step-by-step explanation:

The vertices of a parallelogram are O(0,0), A(-4,1), B(-3,5) and C(1,4).

A parallelogram is a rectangle if its any two adjacent sides are perpendicular to each other.

product of slopes of two perpendicular lines is -1.

Formula for slope is

Slope=\dfrac{y_2-y_1}{x_2-x_1}

Using the formula we get

m_{OA}=\dfrac{1-0}{-4-0}=-\dfrac{1}{4}

m_{AB}=\dfrac{5-1}{-3-(-4)}=-\dfrac{4}{1}=4

m_{OA}\times m_{AB}=-\dfrac{1}{4}\times 4=-1

It means OA is perpendicular to AB.

Since two adjacent sides are perpendicular, therefore the given parallelogram OABC is a rectangle.

6 0
3 years ago
How many thousandths are in 4 hundredths?
Rus_ich [418]
<span>4 hundredths equal 400 thousandths because hundredths to thousandths is increased by 100.</span>
6 0
3 years ago
Read 2 more answers
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