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
lana66690 [7]
3 years ago
5

Verify the identity by transforming the left-hand side into the right-hand side.

Mathematics
1 answer:
qaws [65]3 years ago
8 0
<span>(1 + cos² 3θ) / (sin² 3θ) = 2 csc² 3θ - 1

Starting with the left:  Note that  cos²θ + </span><span>sin²θ = 1.
In the same way:    </span><span>cos²3θ + <span>sin²3θ = 1
</span></span>Therefore                cos²3θ  = 1 - <span>sin²3θ
</span> From the top:  (1 + cos² 3θ) = 1 + 1 - sin²3θ = 2 - <span>sin²3θ
</span>
(1 + cos² 3θ) / (sin² 3θ) = (<span>2 - sin²3θ) / (sin² 3θ) = 2/</span><span>sin² 3θ - </span><span>sin²3θ/</span>sin²3θ

=  2/<span>sin² 3θ - 1;        But 1/</span><span>sinθ = csc</span><span>θ,  Similarly  </span>1/sin3θ = csc3θ

= 2 *(1/sin<span>3θ)²  - 1</span>
= 2csc²3θ  - 1.        Therefore  LHS = RHS.  QED.

You might be interested in
The figure is made up of a cylinder and a cone. What is the exact volume of the figure?
Vanyuwa [196]
51 ft I believe if you have the same question as I did..

7 0
2 years ago
Read 2 more answers
The base of a parallelogram is 21 yards. Find the height if the area of the parallelogram is 525 square
11Alexandr11 [23.1K]

Answer:

25 yards

Step-by-step explanation:

A parallelogram is a quadrilateral (a four sided object) with parallel sides

Some of the characteristics of a parallelogram includes :

  1. Opposite sides  and angles are congruent .
  2. Opposite angels are congruent (D = B).
  3. Consecutive angles are supplementary (A + D = 180°).  
  4. The diagonals bisect each other

Area of a parallelogram = base x height

Area = 525

base = 21 yards

height = ?

525 = 21 x height

divide both sides of the equation by 21 to find the value of the height

525 / 21 = height

height = 25 yards

5 0
3 years ago
Suppose you are ordering a calzone from D.P. Dough. You want 4 distinct toppings, chosen from their list of 8 vegetarian topping
Diano4ka-milaya [45]

Answer:

1680

Step-by-step explanation:

Number of distinct Toppings wanted = 4

Total number of vegetarian topping = 8

To choose 4 distinct toppings from a total of 8

Using permutation :

nPr : n! (n - r)!

8P4 = 8! / 4!

8P4 = (8*7*6*5)

8P4 = 1680

6 0
3 years ago
∠A and \angle B∠B are complementary angles. If m\angle A=(2x+30)^{\circ}∠A=(2x+30)
egoroff_w [7]

Answer:

x =21

Step-by-step explanation:

So we know that:

And that the two angles are vertical angles.

Since they are vertical angles, their measurements are equivalent. Thus, to find x, set the equations equal to each other:

Now, solve for x. Add 30 to both sides. The left side cancels:

Now, subtract 2x from both sides. The right cancels:

Thus, the value of x is 21.

6 0
3 years ago
Read 2 more answers
Can someone help me? really easy fraction question!
kvasek [131]

Answer:

2. 1/24

Step-by-step explanation:

1. six streets, (1/6)

2. north and south (1/2)

3. west and east (1/2)

Multiply all the above fractions together to get final answer!

5 0
3 years ago
Other questions:
  • 11 + (3)(9) Step 1: 11 + (9)(3) Step 2: (11 + 9)(3) Step 3: 20(3) Step 4: 60 Analyze the work to find the error.
    8·2 answers
  • The force of the air's resistance to a certain car (in Newtons) as a function of the car's speed (km/h) is graphed.
    6·1 answer
  • The volume of a swimming pool is 4x^3 - 20x^2 + 3x - 15 . what is one of the dimensions of the pool
    15·1 answer
  • Eaglecrest Elementary school is building a new playground. What is the area of the new playground?
    12·1 answer
  • PLEASE HELP IM IN A HURRY
    5·1 answer
  • I need help with the car questions. Pls it’s due in 10 minutes
    14·1 answer
  • PLEASE HELP!!!! The problem is in the photo below
    7·1 answer
  • If B is between A and C, AB= x+6, BC= 5x -4, and AC= 12x - 20, then x=?
    9·1 answer
  • A trapezoid has sides of length 5.2 miles,9.3 miles,5.2miles,and 16.1 miles.what is the perimeter?
    7·1 answer
  • Is ABCD a parallelogram?
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!