Please help me with this question please

Mathematics

1 answer:

lora16 [44]2 years ago

7 0

Answer:

○ sin 15° = sin 30°⁄2 = ±√[1 - cos 30°\2]

Step-by-step explanation:

According to the Sine Half-Angle Identity, this is the formula:

sin x = sin ˣ⁄2 = ±√[1 - cos x\2]

Notice the -cos x\2 inside the radical. The second option nearly resembles this option. It has a positive symbol inside. Do not let this confuse you. The Cosine Half-Angle Identity is the formula that has a positive in the radical:

cos x = cos ˣ⁄2 = ±√[1 + cos 30°\2]

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Simplify the following expression:

Phantasy [73]

$\frac{4}{ \frac{1}{4} - \frac{5}{2} }$

To begin, we can simplify the expression's denominator by finding a common denominator between the denominators of the fractions in the denominator. To make them compatible, we can convert $\frac{5}{2}$ into $\frac{10}{4}$ :

$\frac{4}{ \frac{1}{4} - \frac{5}{2}( \frac{2}{2}) } = \frac{4}{ \frac{1}{4} - \frac{10}{4} }$

Next, we can simplify:

$\frac{4}{ \frac{1}{4} - \frac{10}{4} } = \frac{4}{ -\frac{9}{4}}$

Finally, to cancel the denominator within the denominator, we can multiply the whole expression by $\frac{4}{4}$ , or 1:

$\frac{4}{ -\frac{9}{4}}* \frac{4}{4} = -\frac{16}{9}$

The expression simplifies to $-\frac{16}{9}$ , or $-1 \frac{7}{9}$ as a mixed number.