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
Nesterboy [21]
3 years ago
6

Prove the identity I NEED TO KNOW FAST AS POSSIBLE

Mathematics
1 answer:
antoniya [11.8K]3 years ago
5 0

Answer:

see explanation

Step-by-step explanation:

Using the trigonometric identities

sin²Θ = 1 - cos²Θ , cos²Θ = 1 - sin²Θ

Consider the left side

(sinΘ + cosΘ)(1 - sinΘcosΘ) ← distribute

= sinΘ(1 - sinΘcosΘ) + cosΘ(1 - sinΘcosΘ)

= sinΘ - sin²ΘcosΘ + cosΘ - sinΘcos²Θ

= sinΘ - (1 - cos²Θ)cosΘ + cosΘ - sinΘ(1 - sin²Θ)

= sinΘ - cosΘ + cos³Θ + cosΘ - sinΘ + sin³Θ ← collect like terms

= sin³Θ + cos³Θ

= right side ⇒ proven

You might be interested in
Whats 2+2 i dont know what it is
SOVA2 [1]

Answer:

4

Step-by-step explanation:

2+2=4

thanks:D

5 0
3 years ago
Read 2 more answers
A student drove to the university from her home and noted that the odometer reading of her car increased by 16.0 km. The trip to
notka56 [123]

Answer:

Average speed is 48 km per hour

Step-by-step explanation:

A student drove to the university from her home and noted that the odometer reading of her car increased by 16.0 km. The trip took 20.0 min. (a) What was her average speed? in km/hr

Distance traveled is 16 km and the time taken is 20 minutes

convert minutes into hour. to convert minutes into hour we divide by 60 because 1 hour = 60 minutes

\frac{20}{60} =\frac{1}{3}

so time = 1/3  and distance = 16

Average speed = distance by time

speed =\frac{16}{\frac{1}{3} } =\frac{48}{1}= 48

Average speed is 48 km per hour

4 0
3 years ago
How many times does 50 go into 4000
iVinArrow [24]
Well, if you just divide 4000 by 50, you can see that the answer will come out as:
<em><u>80
</u></em>
~TO check: 80 multiplied by 50 would come out to the answer of 4,000.
<em>~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~</em><em><u>
</u>Hope this helped! :D</em>
8 0
3 years ago
Read 2 more answers
Feng has a toy car collection he keeps 324 of the toy cars on his wall which is 81% of his entire collection what is the total n
jeka94

Answer:

400

Step-by-step explanation:

YOU DON'T NEED ONE JUST TYPE THE ANSWER IN.

7 0
2 years ago
Valerie is 64 inches tall about how tall is Valeriein centimeters
AlexFokin [52]
162.56 woulf be ur answer
4 0
3 years ago
Read 2 more answers
Other questions:
  • Write an equation of each parabola in vertex form vertex : (-4,-24) point: (-5,-25)
    15·1 answer
  • Please help! Very confused!
    13·1 answer
  • Brian has reduced his cholesterol level by 7% after his last check up. If his original level was 240, what is his approximate ch
    7·1 answer
  • A ladder leans against a building. The foot of the ladder is 2 feet from the building and reaches to a point 7 feet high on the
    11·2 answers
  • How to solve this: <br><img src="https://tex.z-dn.net/?f=%20%5Cfrac%7Bx%7D%7B5%7D%20%20%2B%208" id="TexFormula1" title=" \frac{x
    6·2 answers
  • I’m confused on this. Do I just copy the words or what?
    13·1 answer
  • Round 0.578 to the nearest tenth
    10·2 answers
  • Can somebody help me with problem
    5·1 answer
  • What is the constant proportionality in the equation y = 6x?
    9·1 answer
  • Pls help ILL GIVE BRAINLIST
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!