Which of the following is known as a simpler form of Euclid's fifth postulate

Mathematics

1 answer:

Deffense [45]2 years ago

8 0

Answer:

A. Playfair's axiom.

Step-by-step explanation:

In a plane, given a line and a point not on it, at most, one line parallel to the given line can be drawn through the point.

- this implies Euclid's fifth postulate.

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Find the value of tanθ, if cosθ = 4/5 ; 0° ≤ θ< 90°

Montano1993 [528]

Answer:

Step-by-step explanation:

<u>Given </u>

cosθ = 4/5
0° ≤ θ < 90°

<u>In the first quadrant both sine and cosine are positive, so as tangent.</u>

tanθ = sinθ / cosθ =
$\sqrt{1 - cos^2}$ θ / cosθ =
$\sqrt{1 - (4/5)^2}$ / 4/5 =
$\sqrt{9/25}$ / 4/5 =
3/5*5/4 =
3/4

4 0

3 years ago

What is 6,007,200 in standard form

Orlov [11]

(6,000,000) (7000) (200)

6 0

3 years ago

Solve using demoivres theorem

pashok25 [27]

It's difficult to make out, but I think the task is to expand

$(\sqrt3-i)^4$

Write the number in polar form first:

$\sqrt3-i=2e^{-i\pi/6}$

By DeMoivre's theorem, you have

$(\sqrt3-i)^4=\left(2e^{-i\pi/6}\right)^4=2^4e^{-i4\pi/6}=16e^{-i2\pi/3}$

and converting back to Cartesian form, this number is equivalent to

$16\left(\cos\dfrac{2\pi}3-i\sin\dfrac{2\pi}3\right)=16\left(-\dfrac12+-\dfrac{\sqrt3}2\right)=-8(1+i\sqrt3)$