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2 years ago

What is the standard form of the number shown in this calculator display?

Mathematics

1 answer:

kicyunya [14]2 years ago

4 0

Answer:

5.93 × 10-5

Step-by-step explanation:

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Find all solutions to the equation in the interval [0,2n) cos x = sin 2x

Serggg [28]

Answer:

$\huge\boxed{x\in\left\{\dfrac{\pi}{6};\ \dfrac{\pi}{2}\ \dfrac{3\pi}{2};\ \dfrac{5\pi}{6}\right\}}$

Step-by-step explanation:

$\cos x=\sin2x\qquad|\text{use}\ \sin\theta=2\sin\theta\cos\theta\\\\\cos x=2\sin x\cos x\qquad|\text{subtract}\ \cos x\ \text{from both sides}\\\\0=2\sin x\cos x-\cos x\\\\2\sin x\cos x-\cos x=0\qquad|\text{distribute}\\\\\cos x(2\sin x-1)=0\iff\underbrace{\cos x=0}_{(1)}\ \vee\ \underbrace{2\sin x-1=0}_{(2)}$

$(1)\\\cos x=0\Rightarrow x=\dfrac{\pi}{2}+k\pi;\ k\in\mathbb{Z}$

$(2)\\2\sin x-1=0\qquad|\text{add 1 to both sides}\\\\2\sin x=1\qquad|\text{divide sides by 2}\\\\\sin x=\dfrac{1}{2}\Rightarrow x=\dfrac{\pi}{6}+2k\pi\ \vee\ x=\dfrac{5\pi}{6}+2k\pi$

$\text{From}\ (1)\ \text{and}\ (2)\ \text{we have}\\\\x=\dfrac{\pi}{2}+k\pi\ \vee\ x=\dfrac{\pi}{6}+2k\pi\ \vee\ x=\dfrac{5\pi}{6}+2k\pi\\\\\text{We have the interval}\ x\in[0;2\pi).\ \text{Therefore the solution is:}\\\\x\in\left\{\dfrac{\pi}{6};\ \dfrac{\pi}{2}\ \dfrac{3\pi}{2};\ \dfrac{5\pi}{6}\right\}$

5 0

3 years ago

3y + 5x =15 dhnsnsishbsdn

vladimir2022 [97]

Answer:

x= −3/5y +3 y= -5/3 + 5

Step-by-step explanation:

3 0

3 years ago

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The 2 triangles below are congruent by SSS rule, as all 3 sides are the same. If CAB is a right triangle, what can be determined

alexgriva [62]

Answer:

The left side

is equal to the right side

, which means that the given statement is always true.

True

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

A.2787.6 B.1592.3 C.2831.9 D.1452.3

Daniel [21]

Answer:

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3 0

3 years ago

A set of 3 consecutive integers has a sum of 54. which integers are they?

Scilla [17]

X + y + z = 54
y = x + 1
z = x + 2
x + x + 1 + x + 2 = 54
3x + 3 = 54
x + 1 = 18
x = 17
y = 17 + 1 = 18
z = 17 + 2 = 19

the three integers are 17, 18, and 19

4 0

3 years ago