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3 years ago

Given cosx= 4/5 when (3π/2) < x<2π find sin2x

Mathematics

1 answer:

jarptica [38.1K]3 years ago

8 0

Answer:

D -24/25

Step-by-step explanation:

sin(2x) = 2sin(x)cos(x)

cos(x) = ⅘

sin²(x) = 1 - cos²(x) = 1 - (⅘)²

sin²(x) = 9/25

sin(x) = -⅗

(Because 4th quadrant)

sin(2x) = 2(-⅗)(⅘)

= -24/25

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The radius of a circle is 6 inches. What is the circle's circumference?<br> Use 3.14 for .

Vikentia [17]

Answer:

37.68 inches

Step-by-step explanation:

The equation for the circumference of the circle is:

$C=2\pi r$

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1 year ago

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Answer:

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2 years ago

What is the answer ti 3\4 × g = 5/8

gladu [14]

For this case we have the following expression:

$\frac {3} {4} g = \frac {5} {8}$

We clear the value of the variable "g", for this:

We multiply by 4 on both sides of the equation:

$4 * \frac {3} {4} g = \frac {5} {8} * 4\\3g = \frac {20} {8}$

We divide by 3 on both sides of the equation:

$\frac {3g} {3} = \frac {20} {8 * 3}\\g = \frac {20} {24}$

We simplify:

$g = \frac {10} {12} = \frac {5} {6}$

Answer:

$g = \frac {5} {6}$

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3 years ago

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kolezko [41]

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2 years ago

What does this mean? evaluate the expression for y=54y+10

salantis [7]

We have the expression:

$4y+10$

And want to evaluate in y=5, this means we have to replace y in the expression for 5 and calculate the value of the expression, so:

$\begin{gathered} 4y+10,y=5 \\ 4\cdot5+10 \\ 20+10 \\ 30 \end{gathered}$

The expression is 30 when y=5.

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1 year ago