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Which expression is equivalent to sin(1.8x) sin(0.5x)

Which expression is equivalent to sin(1.8x) sin(0.5x)-example-1

2 Answers

1 vote

Answer:

It is C. 0.5(cos 1.3x − cos 2.3 x)

Explanation:

I just took the test on PLATO

User Gabriel Rohden
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5 votes

Answer: 0.5(cos 1.3x − cos 2.3 x)

Explanation:

Hey there!

In trigonometry which relates the sides and angles of the triangle, there is an identity which states that,

(sinA) (sinB) = 0.5(cos (A − B) − cos (A + B) )

In this item, our A and B are 1.8x and 0.5x, respectively.

Substituting,

sin(1.8x)sin(0.5x) = 0.5(cos (1.8x − 0.5x) - cos(1.8x + 0.5x))

sin(1.8x)sin(0.5x) = 0.5(cos 1.3x − cos 2.3 x)

~I hope I helped you! :)~

User Zobia Kanwal
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4.3k points