All categories

3 years ago

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:

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:
80
~TO check: 80 multiplied by 50 would come out to the answer of 4,000.
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Hope this helped! :D

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