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IrinaK [193]
3 years ago
6

Simplify to an expression of the form (a sin(θ)). 2sin(/8)2cos(/8)

Mathematics
1 answer:
rjkz [21]3 years ago
5 0

Answer:

Your expression equals 2 \sin(\frac{\pi}{4}) assuming the problem was to simplify 2\sin(\frac{\pi}{8}) 2\cos(\frac{\pi}{8}) to the form a\sin(\theta).

Step-by-step explanation:

2\sin(\frac{\pi}{8}) 2\cos(\frac{\pi}{8})

2(2)\sin(\frac{\pi}{8})\cos(\frac{\pi}{8})

Let's use the following identity: 2\sin(A)\cos(A)=\sin(2A)

2\sin(2 \cdot \frac{\pi}{8})

2 \sin(\frac{\pi}{4}) which is comparable to the form a\sin(\theta).

a=2

\theta=\frac{\pi}{4}

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