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IgorC [24]
3 years ago
5

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}  \\

Hence, simplest form of 34/85 is 2/5.

8 0
3 years ago
If 3x2+3y2=42 and xy= -15, find the value of (x-y)2
salantis [7]

Answer:

44

Step-by-step explanation:

x^2 + y^2 = 14

(x-y)^2  x^2 + y^2 - 2xy = 14 -2 * (-15) = 44

3 0
3 years ago
Read 2 more answers
Four times the square of a non-zero number is equal to twelve times the number.
Whitepunk [10]
4x^2 = 12x
4x^2 - 12x = 0
4x(x - 3) = 0

4x = 0
x = 0...not this one

x - 3 = 0
x = 3 <== ur number
4 0
3 years ago
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