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frez [133]
3 years ago
14

(Photo attached) Trig question. I partially understand it, but not completely. Please explain! :) Thanks in advance.

Mathematics
1 answer:
aliya0001 [1]3 years ago
5 0

Answer:

  • A = 2
  • B = 3

Step-by-step explanation:

You can start by recognizing 19/12π = π +7/12π, so the desired sine is ...

  sin(19/12π) = -sin(7/12π) = -(sin(3/12π +4/12π)) = -sin(π/4 +π/3)

  -sin(π/4 +π/3) = -sin(π/4)cos(π/3) -cos(π/4)sin(π/3)

Of course, you know that ...

  sin(π/4) = cos(π/4) = (√2)/2

  cos(π/3) = 1/2

  sin(π/3) = (√3)/2

So, the desired value is ...

  sin(19π/12) = -(√2)/2×1/2 -(√2)/2×(√3/2) = -(√2)/4×(1 +√3)

Comparing this form to the desired answer form, we see ...

  A = 2

  B = 3

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PLEASE HELP ME IT WOULD MEAN A LOT
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Step-by-step explanation:

<em>Given </em>

<em>f(</em><em>x</em><em>)</em><em> </em><em>=</em><em> </em><em>x </em><em>and </em><em>g(</em><em>x</em><em>)</em><em> </em><em>=</em><em> </em><em>4x²</em><em> </em><em>-</em><em> </em><em>1</em>

<em>Now</em><em>, </em>

<em>3</em><em> </em><em>f(</em><em>x</em><em>)</em><em> </em><em>*</em><em> </em><em>g(</em><em>x</em><em>)</em><em> </em>

<em>=</em><em> </em><em>3</em><em> </em><em>*</em><em> </em><em>x </em><em>(</em><em>4x²</em><em> </em><em>-</em><em> </em><em>1</em><em>)</em>

<em>=</em><em> </em><em>3x </em><em>(</em><em> </em><em>4x²</em><em> </em><em>-</em><em> </em><em>1</em><em> </em><em>)</em>

<em>=</em><em> </em><em>12x³</em><em> </em><em>-</em><em> </em><em>3x </em>

<em>Hope </em><em>it </em><em>will </em><em>help </em><em>:</em><em>)</em>

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