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zvonat [6]
3 years ago
8

Simplify. −7 + {12 + 3[30 − 5(1 + 4)]}

Mathematics
1 answer:
Igoryamba3 years ago
8 0

Answer:

-7+(12+3(30-5(1+4)= 20

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We will use the sine and cosine of the sum of two angles, the sine and consine of \frac{\pi}{2}, and the relation of the tangent with the sine and cosine:

\sin (\alpha+\beta)=\sin \alpha\cdot\cos\beta + \cos\alpha\cdot\sin\beta

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\sin\dfrac{\pi}{2}=1,\ \cos\dfrac{\pi}{2}=0

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If you use those identities, for \alpha=x,\ \beta=\dfrac{\pi}{2}, you get:

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Hence:

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Triangle PQR has vertices P(–2, 6), Q(–8, 4), and R(1, –2). It is translated according to the rule (x, y) → (x – 2, y – 16).
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