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tangare [24]
2 years ago
13

Find an expression which represents the sum of (-6x+6) and (-3x-7) in simplest terms.

Mathematics
1 answer:
Keith_Richards [23]2 years ago
5 0

Step-by-step explanation:

= (-6x + 6) + (-3x - 7)

= (-6 - 3)x + (6 - 7)

= -9x - 1

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How to do question 27
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1/(sin(90 + θ)cos(360 - θ))     -   tan²(-θ)

Note:

 sin(90 + θ) = cosθ        Cosine and Sine are complementary.

cos(360 - θ) = cosθ      Cosine positive in 4th quadrant.

tan(-θ) = -tanθ          Negative angle concept.


1/(sin(90 + θ)cos(360 - θ))     -   tan²(-θ) =  1/(cosθcosθ)     -   (-tanθ)²

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Note: 1/cosθ = secθ

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                                                                  =  sec²θ     -       tan²θ

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Note that    1+ tan²θ = sec²θ is a Trigonometric identity.

That means:  sec²θ     -       tan²θ = 1

Hope this explains it.
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3 years ago
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Step-by-step explanation:

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