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bogdanovich [222]
3 years ago
10

Please simplify, 50 points.

Mathematics
2 answers:
olga55 [171]3 years ago
4 0

Answer:

The trigonometric equation  (sin Θ − cos Θ)^2 − (sin Θ + cos Θ)^3 can be simplified by:Using x for Θ: (sinx - cosx)^2 - (sinx + cosx)^2 = (sin^2 x - 2sinxcosx + cos^2 x) - (sin^2 x + 2sinxcosx + cos^2 x) = - 2 sinx cosx - 2 sinx cosx = - 4 sinx cosx = - 2sin(2x)

Step-by-step explanation:

Lady_Fox [76]3 years ago
3 0

Answer:

D

Step-by-step explanation:

Expand (sinΘ + cosΘ)²

= sinΘ - cosΘ - (sin²Θ + 2 sinΘcosΘ + cos²Θ)

= sinΘ - cosΘ - sin²Θ - 2sinΘcosΘ - cos²Θ

= sinΘ - cosΘ - 2sinΘcosΘ - (sin²Θ + cos²Θ)

= - 2sinΘcosΘ - cosΘ + sinΘ - 1 → D

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The number sentence 4x6=6x4 is an example of the what property
monitta

Answer:

commutative property of multiplication

Step-by-step explanation:

The value of the product of the given equation remain the same while the order is reversed

The number sequence 4 × 6 = 6 × 4 is an example of the commutative property of multiplication

Reason:

The given number sentence is 4 × 6 = 6 × 4

Required: The property the number sentence is an example of (represent)

Solution:

The difference between the left and right expression is that the order of the

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Therefore, the number sentence states that the value of the multiplication

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interchanged as follows; a × b = b × a

a × b = b × a is an example of commutative property of multiplication

Therefore;

4 × 6 = 6 × 4 is an example of the commutative property of multiplication

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sveta [45]

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Step-by-step explanation:

It works because of two properties of equations: Multiplying (or dividing) the expression on each side by the same number does not alter the equation. Adding two equations produces another valid equation: e.g. 2x = x + 10 (x = 10) and x − 3 = 7 (x also = 10).

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Step-by-step explanation:

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Step-by-step explanation:

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