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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

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3 0
3 years ago
Please answer number 29 ASAP
Effectus [21]

h = 5b - 2

\frac 1 2 b h= 36

b(5b - 2) = 72

5b^2 - 2b - 72 = 0

(b - 4)(5b + 18) = 0

b = 4 \textrm{ or }b = -18/5

We can rule out the negative length.

h = 72/b = 72/4 = 18

Answer: b=4, h=18


3 0
3 years ago
Read 2 more answers
Thanks for your answer
pogonyaev
I just had a test on this lol perfect timing. Anyways the answer would be 3 times bigger bc the circumference of a circle with the radius of 3 is 6pi and the circumference of a circle with the radius of 1 is 2pi which makes the first circle 3 times bigger
5 0
2 years ago
<img src="https://tex.z-dn.net/?f=5x%20%2B%209%20%20%3D%203x%20%2B%201" id="TexFormula1" title="5x + 9 = 3x + 1" alt="5x + 9 =
marissa [1.9K]

Answer:

x = -4

Step-by-step explanation:

Take out 3x from both sides:

5x - 3x    =    3x - 3x

2x           =   0

2x + 9 = 1

Take out 9 from both sides:

9 - 9             =       1 - 9

0                  =      -8

Divide 2 from both sides:

\frac{2x}{2} = \frac{-8}{2}

x = -4

6 0
2 years ago
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What is 24 1/2 - 9 7/8?
blondinia [14]

Answer:

the answer is 12 I hope this answer helps you

8 0
2 years ago
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