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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

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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

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marissa [1.9K]

Answer:

$x = -4$