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Alex787 [66]
3 years ago
12

Given: sin theta=2/3 and is in the second quadrant; evaluate the following expression. sin 2 theta

Mathematics
1 answer:
Dmitry [639]3 years ago
4 0

Answer:The answer to your question is 3. 0

Step-by-step explanation:

Process

1.- Find the cos a

  Opposite side = 5

  Hypotenuse = 13

  Adjacent side = ?

  Adjacent side² = 13² - 5²

                          = 169 - 25

                          = 144

 Adjacent side = 12

cos a = 12/13

2.- Find the sin b

sin b = 5/13

3.- Use the formula below to find sin(a + b)

              sin (a + b) = sina cosb  + sin b cos a

- Substitution

              sin (a + b) = (5/13)((-12/13) + (5/13)/12/13)

- Simplification

              sin (a + b) = -60/169 + 60/13

- Result

              sin(a + b) = 0                        

Step-by-step explanation:

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3 years ago
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The length of both rooms is 10 meters and the width for the kitchen is 5 meters, while the one for the dining room is 9 meters.

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Both rooms have the same length but different areas and different widths. This common measurement can be found using the GFC or the greatest common factor. To do this, divide each number by 1,2,3, etc., and find the greatest common number (only integers are valid).

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Note: In this question the diagram is missing; below, I attach the diagram.

Learn more about greatest common factor in: brainly.com/question/282609

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Step-by-step explanation:

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Step-by-step explanation:

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