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Neko [114]
3 years ago
11

If cos θ - sin θ = √2 sin θ, then prove that cos θ + sin θ = √2 cos θ.

Mathematics
1 answer:
belka [17]3 years ago
5 0

Step-by-step explanation:

cos θ - sin θ = √2 sin θ

cos θ + sin θ = √2 sin θ + 2sin θ

cos θ + sin θ = √2(sin θ + √2sin θ)

cos θ + sin θ = √2 cos θ. (Proven)

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Dafna11 [192]
My answer isn't in your choices so it's probably wrong, but hopefully my approach can give you hints.

The vowels are AEAI
The vowels can be arranged in 4*3*2=24 ways.

The non vowels are MTHMTCS
If the vowels must be together, there have to be in one of the spaces between the non vowels.
If we look at it like this:
-M-T-H-M-T-C-S-
The 4 vowels must go in one of the places marked with a dash.
There are thus 8 places to choose from.

But we must also consider that the non vowels can be arranged in any way. There are 7 of them, so they can be arranged in 7*6*5*4*3*2=5040 ways.

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3 0
3 years ago
Select the correct answer.
sp2606 [1]

The perimeter of the pentagon with apothem of 5cm is 28.87cm

<h3>How to calculate the perimeter of a pentagon</h3>

The sum of all the external sides of the pentagon is its perimeter.

First we need to calculate the half of one of its sides using the SOH CAH TOA

tan 30 = x/5

x = 5 tan 30

x = 2.89

One of the sides = 2(2.89) = 5.77 cm

Perimeter of th pentagon  = 5(5.77) = 28.87

Hence the perimeter of the pentagon with apothem of 5cm is 28.87cm

Learn more on perimeter of pentagon here: brainly.com/question/11484726

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2 years ago
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Answer:

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