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
Scorpion4ik [409]
2 years ago
15

Prove that:sin3A/sinA - cos3A/cosA=2​

Mathematics
1 answer:
LekaFEV [45]2 years ago
6 0

The result essentially follows directly from the triple-angle identities,

sin(3A) = 3 sin(A) cos²(A) - sin³(A)

cos(3A) = cos³(A) - 3 sin²(A) cos(A)

Then

sin(3A)/sin(A) = 3 cos²(A) - sin²(A)

cos(3A)/cos(A) = cos²(A) - 3 sin²(A)

and

sin(3A)/sin(A) - cos(3A)/cos(A)

= 3(cos²(A) + sin²(A)) - (sin²(A) + cos²(A))

= 3 - 1

= 2

You might be interested in
What is the expanded form of 876 million
Komok [63]
The expanded form is: 800,000,000+70,000,000+ 6,000,000
7 0
3 years ago
Read 2 more answers
write about how many rotations does the bike wheel make when the bike travels 1 mile explain or show your reasoning
tatuchka [14]

Answer:

it takes 11,600

Step-by-step explanation:

because a mile is 5,280 feet and both of you feet are moving the wheels and that should be multiplied by 2.

7 0
3 years ago
A flag pole has a rope that attaches to the ground from the top of the flagpole the rope create a 30° angle with the ground and
OLEGan [10]

Answer:

5.77\ \text{m}

11.54\ \text{m}

Step-by-step explanation:

p = Height of pole

h = Length of role

b = Distance between the bottom of the rope and bottom of the pole = 10 m

\theta = Angle between the rope and the ground = 30^{\circ}

\tan\theta=\dfrac{p}{b}\\\Rightarrow p=b\tan\theta\\\Rightarrow p=10\tan30^{\circ}\\\Rightarrow p=5.77\ \text{m}

The length of the rope is 5.77\ \text{m}

\cos\theta=\dfrac{b}{h}\\\Rightarrow h=\dfrac{b}{\cos\theta}\\\Rightarrow h=\dfrac{10}{\cos30^{\circ}}\\\Rightarrow h=11.54\ \text{m}

The length of the pole is 11.54\ \text{m}

3 0
2 years ago
Simplify:<br> (x+3)(x-3)-(1-9)
xxMikexx [17]

Answer:

67

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
What is the answer, she explanation pls
Bingel [31]

Answer: OPTION D.

Step-by-step explanation:

First, it is important to know the definition of "Chord"  and "Arcs" in circles.

A Chord is defined as a segment that joins any two points of a circle.

An Arc is defined as portion of the circumference of a circle.

By definition:

1) If two chords of a circle are congruent (which means that they have equal measure), then their intercepted Arcs are also congruent.

2) If the Arcs are congruent, then they have congruent chords.

In this case, you know that the <em>Arc GH</em> and the <em>Arc JK</em> are congruent. Therefore, you can conclude that the <em>Chord GH</em> and the <em>Chord JK</em> are also congruent.

Then, knowing that:

GH=9\ units

You can determine that:

JK=9\ units

7 0
3 years ago
Other questions:
  • A card is randomly drawn from a deck of cards. (There are 52 cards in a deck, with 13 cards of each suit.) You record the follow
    6·2 answers
  • 2,365 shirts were made. The ratio of shirts made for men versus for women was 5:6. How many shirts were made for women?
    8·1 answer
  • How do I evaluate this help me please like seriously help
    5·1 answer
  • I FAIL IF I GET THIS WRONG PLS HELP Find the missing factor.<br> b2 — 3b — 4 = (b – 4)<br> )
    8·1 answer
  • What is the property of 7 x 1 = 7?
    15·1 answer
  • Solve and DONT simplify 9/18 + 1/3
    6·2 answers
  • If in a triangle ac= 15 and angle abc=60 degrees what is ab?
    15·1 answer
  • Brainliest for whoever answers
    8·2 answers
  • Which number line represents all of the values of x for the equation x2 = 36?
    7·1 answer
  • Why did Chase (and many others) oppose passage of the Kansas-Nebraska Act?
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!