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Need some help with this math question thanks :)

Need some help with this math question thanks :)-example-1
User Temima
by
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1 Answer

1 vote

Answer:

Option B
(24)/(25)

Explanation:

we know that


sin(2\theta) = 2 sin(\theta) cos(\theta)

In this problem we have


cos(\theta)=(4)/(5)

Find the value of
sin(\theta)

Remember that


sin^(2) (\theta)+cos^(2) (\theta)=1

substitute the value


sin^(2) (\theta)+((4)/(5))^(2)=1


sin^(2) (\theta)=1-(16)/(25)


sin^(2) (\theta)=(9)/(25)


sin(\theta)=(3)/(5)

Find the value of
sin(2\theta)


sin(2\theta) = 2 ((3)/(5))((4)/(5))


sin(2\theta) = (24)/(25)

User Olllejik
by
7.7k points

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