Create an expression that simplifies to sin x

Mathematics

1 answer:

Dimas [21]3 years ago

4 0

Answer:

$2\cdot \sin 0.5x \cdot \cos 0.5x$

Step-by-step explanation:

Here is one example:

$2\cdot \sin 0.5x \cdot \cos 0.5x$

$\sin 0.5x \cdot \cos 0.5x + \cos 0.5x\cdot \sin 0.5x$

$\sin (0.5x + 0.5x)$

$\sin x$

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x= 1, 2, 3, 4, 5. y=11\4, 25\4, 39\4, 53\4, 67\4. what equation relates y to x in the values x and y?

larisa86 [58]

(1,11/4)(2,25/4)
slope = (25/4 - 11/4) / (2 - 1) = (14/4) / 1 = 14/4 = 7/2

y = mx + b
slope(m) = 7/2
(1,11/4)...x = 1 and y = 11/4
now we sub and find b, the y int
11/4 = 7/2(1) + b
11/4 = 7/2 + b
11/4 - 7/2 = b
11/4 - 14/4 = b
-3/4 = b

so ur equation is : y = 7/2x - 3/4

4 0

3 years ago

Use the law of Sines to find the missing angle of the triangle. <br> Find m

Whitepunk [10]

Ah...Trigonometry is fun!

The law of sines states:
$\frac{sinA}{a}= \frac{sinB}{b} = \frac{sinC}{c}$
The transitive property (switching the orders of the equations) applies here. Therfore, we can say that $\frac{sinA}{a}=\frac{sinC}{c}$

We then plug in our given values to find C

$\frac{sin24}{77}=\frac{sinC}{162}$
$\frac{162*sin24}{77}=sinC$
Solving, we get 0.8557316387. We're not done yet!

We are trying to find an angle measure, so we'll do the inverse of the ratio we used (sin).

arcsin0.8557316387 (arcsin is the same as inverse sin)
=58.8 (approximate)

So the measure of angle C is 58.8. You could check this by reinserting it into the equation $\frac{sinA}{a}= \frac{sinB}{b} = \frac{sinC}{c}$ .

:)

6 0

3 years ago

Simplest form of 34/85

babymother [125]

Answer:

2/5

Step-by-step explanation:

$\frac{34}{85} = \frac{17 \times 2}{17 \times 5} = \frac{2}{5} \\$