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
Mariulka [41]
3 years ago
5

Prove that sin alpha × sin(90- alpha) - cos(90-alpha) × cos alpha​

Mathematics
1 answer:
satela [25.4K]3 years ago
8 0

Answer:

It is equal to 0.

Step-by-step explanation:

I can simplify it as follows:

sinα sin(90 - α) - cos(90 - α)(cosα)

Now  sin(90 -α) = cosα and cos(90 - α) = sinα)    ( for α < 90)

So the expression becomes:

sinαcosα - sinαcosα

= 0 .

You might be interested in
_________are triangles with congruent angles and proportional sides.
Oksana_A [137]

Answer: Similar triangles

s

Step-by-step explanation:

They have congruent angles and similar sides

7 0
3 years ago
Suzanne bought 50 apples at the apple orchard. She bought 4times as many as red apples than green apples. How many more red appl
Whitepunk [10]

Answer:

There are 200 apples


7 0
2 years ago
Please help me !!!!!
kupik [55]

Whenever you want to write the equation of a parallel line through some point (h, k), you can ...

  • remove any added constant in the original given equation
  • replace x with (x-h)
  • replace y with (y-k)
  • rearrange the resulting equation to the form required by the problem.

Using this formula here, we get

... 2(y +5) = 3(x -2)

Your answer form requires you solve this for y.

... 2y + 10 = 3x -6 . . . . . eliminate parentheses

... 2y = 3x -16 . . . . . . . . subtract the constant on the left (10)

... y = (3/2)x -8 . . . . . . divide by 2


6 0
2 years ago
Solve the equation for a.
Pavel [41]

Answer:

\large\boxed{a=\dfrac{K}{4+9b}}

Step-by-step explanation:

K=4a+9ab\qquad\text{use the distributive property}\ a(b+c)=ab+ac\\\\K=a(4+9b)\qquad\text{divide both sides by}\ (4+9b)\neq0\\\\\dfrac{K}{(4+9b)}=\dfrac{a(4+9b)}{(4+9b)}\\\\\dfrac{K}{4+9b}=a

6 0
3 years ago
Read 2 more answers
In the triangles, GK PN and HG 2MP.
dalvyx [7]

Answer:

G is smaller than P. Visually comparing G to P you are doing a rough comparison to a 90° (or right) angle. Angle G is a little bit tilted to the right making it just under 90°

6 0
3 years ago
Other questions:
  • What is the volume of a cube if the length is 3 mm, the width is 3 mm, and the height is 3 mm? A) 9 cubic millimeters B) 18 cubi
    6·1 answer
  • Which expression is equivalent to 5.4−1.8 ? A. −1.8+5.4 B.−1.8−5.4 C. 1.8 + 5.4 D.1.8−5.4
    13·2 answers
  • There are 5 classes with 22 students per class ordering pizza. One pizza feeds 5 people. Which of the following is a good estima
    7·2 answers
  • A triangle has sided measuring 3.54 inches, 5.12 inches, and 2.30 inches. Add to find the perimeter of the triangel
    15·1 answer
  • Identify negative angle measure. Select all angles that have a negative measure.
    9·2 answers
  • Outcomes are equally likely of each is as likely to occur true or false
    6·1 answer
  • Please help!!!!!!!!!!!!
    6·1 answer
  • What is the value of x in the equation 3(4x-6) - 2x + 1 = 3 -(3x -6)
    5·2 answers
  • Nina is making pink candles to use as decorations on Valentine's Day. She melts red and white wax together and pours them into a
    15·1 answer
  • Look at the picture pls don't answer in pictures
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!