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 $a\sin(\theta)$ .

$a=2$

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

5 0

3 years ago

Change 2.1 to a mixed number

Brut [27]

Answer: 2 $\frac{1}{10}$

Step-by-step explanation:

2.1 is the same as 21/10

which will give 2 $\frac{1}{10}$

4 0

3 years ago

Read 2 more answers

. Express each exponent in expanded form: StartFraction 6 times 6 times 6 times 6 times 6 times 6 times 6 Over 6 times 6 times 6

vovangra [49]

Answer:

The exponent of the simplified power is 3

Step-by-step explanation:

Given:

6 × 6 × 6 × 6 × 6 × 6 × 6 / 6 × 6 × 6 × 6

Dividing common factors ( cancel out 4 6's in the Numerator and Denominator

= 6 × 6 × 6 / 1

= 6^3 /1

= 6^3

The exponent of the simplified power is 3

3 0

3 years ago