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tester [92]
2 years ago
8

Please show work! Factor sin^2Θ + sin^2Θ cos^2Θ

Mathematics
1 answer:
ivanzaharov [21]2 years ago
5 0

Factorization of sin²θ + sin²θ cos²θ gives us; 2sin²θ - sin⁴θ

<h3>How to simplify Trigonometric Functions?</h3>

We want to simplify;

sin²θ + sin²θ cos²θ

Let us factorize out sin²θ to get;

sin²θ(1 + cos²θ)

Now, we know that cos²θ = 1 - sin²θ

Thus;

sin²θ(1 + cos²θ) = sin²θ(1 + 1 - sin²θ)

⇒ sin²θ(2 - sin²θ)

⇒ 2sin²θ - sin⁴θ

Read more about Trigonometric functions at; brainly.com/question/6904750

#SPJ1

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Lisa [10]

Answer:

b = 5

Step-by-step explanation:

4 ( 3b + 2 ) - 5b = 43     Given

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12b - 5b + 8 = 43    Combine like terms

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b = 5

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3 years ago
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The sum of three times the square of a number and -7
Ganezh [65]

Answer:

3x² - 7

Step-by-step explanation:

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3 times x² and add (-7)

3x²  + (-7)

3x²  -  7

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2 years ago
Solve for x and y simultaneously if:<br>x+4=2y and y2-xy+21=0<br>​
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Step-by-step explanation:

x=−10, y=−3

x=10, y=7

y=7,x=10

y=−3,x=−10

5 0
3 years ago
I need Help with this​
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3 years ago
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WHAT IS THE SOLUTION TO THIS EQUATION<br> 1. 8x - 5(x- 3)= 18
marysya [2.9K]

Answer:

x = 1

Step-by-step explanation:

8x - 5(x - 3) = 18

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<u>x = 1</u>

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