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3 years ago

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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natita [175]

Answer:

$y = 3(\frac{1}{3} )^{x}$

Step-by-step explanation:

See the attached graph.

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Let the function be $y = a(b)^{x}$ ....... (1)

Now, satisfying the point (0,3) we get from the equation (1),

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