1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
gizmo_the_mogwai [7]
1 year ago
14

Cos^3a-sin^3a/cosa-sina

Mathematics
1 answer:
KIM [24]1 year ago
8 0

Answer:

1 + cosa sina

Step-by-step explanation:

\frac{cos^3a-sin^3a}{cosa-sina}

cos³a - sin³a ← is a difference of cubes and factors in general as

a³ - b³ = (a - b)(a² + ab + b²) , then

cos³a - sin³a

= (cosa - sina )(cos²a + cosa sina + sin²a)

= (cosa - sina)(1 + cosa sina) [ sin²a + cos²a = 1 ]

Then

\frac{cos^3a-sin^3a}{cosa-sina}

= \frac{(cosa-sina)(1+cosasina)}{cosa-sina} ← cancel (cosa - sina) on numerator/ denominator

= 1 + cosa sina

You might be interested in
Angle Relationships
Snowcat [4.5K]

Answer:

B.

   BC = 4.8cm

   AC = 3.6cm

   ∠B = 37°

   ∠C =90°

Step-by-step explanation:

I calculated it logically

4 0
2 years ago
Addition-subtraction method<br><br> 8.92x-5.42y=3.41 5.83x+1.07y=2.37
lyudmila [28]
We want to use the Addition-Subtraction method to solve
8.92x - 5.42y = 3.41             (1)
5.83x + 1.07y = 2.37             (2)

We shall eliminate y from the two equations by Addition.
Multiply (1) by 1.07 and multiply (2) by 5.42  to obtain
1.07*(8.92x - 5.42y) = 1.07*3.41
9.5444x - 5.7994y = 3.6487        (3)

5.42*(5.83x + 1.07y) = 5.42*2.37
31.5986x + 5.7994y = 12.8454   (4)

Add (3) and (4) to obtain
9.5444x - 5.7994y + 31.5986x + 5.7944y = 3.6487 + 12.8454
41.143x = 16.4941
x = 0.4009

From (2), obtain
1.07y = 2.37 - 5.83x
         = 2.37 - 5.83*0.4009
         = 0.0328
y = 0.0307

Answer:
 x = 0.4009
 y = 0.0307
4 0
3 years ago
how can you use the metric prefixes milli, centi, and kilo to help you decide if a metric conversion is reasonable
serious [3.7K]
I remember it as a meter in the middle a 100 cents in a dollar and a millimeter is just one one-thousandth of a meter. A kilo is 100 times a meter.
3 0
3 years ago
Confused on the steps and I need help
lions [1.4K]

9514 1404 393

Answer:

  3) y = -1

  5) x = -14

Step-by-step explanation:

The first step is to recognize that the equation describes a vertical line in problem 3 and a horizontal line in problem 5. The perpendicular to a vertical line is a horizontal line, and vice versa.

__

3. To make the desired horizontal line go through the point (-8, -1) the y-value of the line must match that of the point:

  y = -1

__

5. To make the desired vertical line go through the point (-14, 81), the x-value of the line must match that of the point:

  x = -14

8 0
3 years ago
Find the area and the circumference of a circle with radius 3 cm.
pshichka [43]

1. Observe problem

Solve for the area and Circumference of a circle who's radius is 3 cm

Area for circle formula:

pi*r^2=

9pi

I simplicity is needed, 9 pi is around

28.2743338823cm^2

Circumference for circle formula: 2*pi*r

which is

6pi

if simplicity is again needed, its around

18.8495559215cm

6 0
2 years ago
Other questions:
  • Terry has nuts and bolts. The ratio of the number of nuts to the
    10·1 answer
  • 3(t+5) = 6<br><br> Answer Fasttt!
    12·2 answers
  • Find the particular solution that satifies the differential equation and the initial condition. f"(x) = x2 f'(0) = 8, f(0) = 4
    8·1 answer
  • 85 is 2.5% of what number?
    13·1 answer
  • Solve (x + 1)2 - 4(x + 1) + 2 = 0 using substitution.
    7·1 answer
  • Please help me out.........
    7·2 answers
  • Find V when l = 6ft, w= 3ft, and h= 9ft.
    15·1 answer
  • What the answer for 3(X+5)=27
    8·2 answers
  • Carrie sewed a square blanket with an area of 225 in^2
    10·2 answers
  • On Friday,
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!