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mr_godi [17]
3 years ago
6

Can you help me with a rational expressions & eplquations please

Mathematics
1 answer:
nasty-shy [4]3 years ago
4 0
Yes I can help you with rational expressions and eplquations!
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If csc ( x ) = 4, for 90 ∘ < x < 180, then sin ( x 2 ) = ? cos ( x 2 ) = ? tan ( x 2 ) = ?
svetlana [45]

Answer:

I'm assuming where you wrote x2, you meant 2x.

Anyway, if csc (x) = 2, since csc(x) = 1/sin(x), we know that 1/sin x = 2, so sin (x) = 1/2. Since sin2x + cos2x = 1, cos2x = 1 - sin2x, so cos x = √1 - sin2x. In this case, cos x = √ 1 - (1/2)2 = √(3/4) = (√3)/2. Finally, since sin x = opp / hyp , cos = adj/ hyp: sin x / cos x = (opp/hyp)/(adj/hyp) = opp/adj = tan x. So this means that tan x = sin x / cos x = 1/2 / √ 3 / 2 = 1/√3 = √3 / 3

At this point, all that is necessary is to use the double angle formulas for sin, cos, and tan.

sin (2x) = 2 sin x cos x = 2 (1/2) (√3/2) = √3 / 2

cos (2x) = cos2x - sin2x = (√3/2)2 - (1/2)2 = 3/4 - 1/4 = 1/2

tan (2x) = 2 tan x / (1 - tan2x) = 2 (√3 / 3) / ( 1 - (√3/3)2) = 2/√3 / (1 - 1/3) = 2/√3 / (2/3) = 3/√3 = √3

To sum up, sin (2x) = √4 / 2, cos (2x) = 1/2, and tan(2x) = ✓3.

Step-by-step explanation:

BRAIN LY FAST

MARK A BRAINLESS

5 0
2 years ago
Alicia is writing the program for a video game.
ICE Princess25 [194]

Step-by-step explanation:

<u>A.-6-3 = -9</u>

0+4 = 4  

(-9,4)

<u>B.3-3 = 0</u>

-4+4 = 0  

(0,0)

7 0
3 years ago
Identify all the points that are on the following quadratic function: y = x^2 - 3x
Bad White [126]
THE ANSWER IS A AND B
8 0
3 years ago
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What is the equation of the line
kupik [55]

Answer:

y=-x+3.

Step-by-step explanation:

The graph goes down one and right one before making another point. This means that the slope is -1/1. Simplify and you get -1. So far we have y=-1x. -1x is the same as -1. Now we have y=-x. The graph intersects the y-axis at the point (0,3). This makes our y-intercept 3. Our final equation is y=-x+3.

8 0
3 years ago
Answer ease so confused
Levart [38]

3 - 5 \sqrt{15x}  +  \sqrt{15x}  - 25x \\  \\ 3 - 4 \sqrt{15x}  - 25x
I'm confused too but that what i got
7 0
3 years ago
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