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Mathematics

1 answer:

bazaltina [42]3 years ago

3 0

Answer:

You can find 0.5% of a number by multiplying the number by

Step-by-step explanation:

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Find all solutions of each equation on the interval 0 ≤ x<2π.

Aleksandr [31]

Answer:

$x = 0 \: or \:x = \pi$

Step-by-step explanation:

The given equation is

$\tan^{2} (x) \sec^{2} (x) + \sec^{2} (x) - \tan^{2} (x) = 2$

Subtract 2 from both sides and factor by grouping to get:

$\sec^{2} (x)(\tan^{2} (x) + 2) -1( \tan^{2} (x) + 2)$

$(\tan^{2} (x) + 2) (\sec^{2} (x) - 1) = 0$

By the zero product principle:

$(\tan^{2} (x) + 2) = 0 \: or \: (\sec^{2} (x) - 1) = 0$

$(\tan^{2} (x) = - 2 \: or \: \sec^{2} (x) = 1$

When

$\sec^{2} (x) = 1 \implies\cos^{2} (x) = 1$

$\implies \: \cos(x) = \pm1$

This implies

$x = 0 \: or \:x = \pi$

When

${ \tan }^{2} (x) = - 2$

We have

$\tan(x) = \pm \sqrt{ - 2}$

hence x is not defined for all real numbers

6 0

3 years ago

Read 2 more answers

What does this mean: 70°20'

timurjin [86]

70 degrees, 20 minutes. It's an angle measure in Degrees-Minutes-Seconds(DMS) instead of Decimal Degrees (DDS). DMS is commonly used in engineering, land survey and navigation for ships and planes.

There are 60 seconds in one minute and 60 minutes in one degree.
So 70°20' is = $70\frac{20}{60}deg \approx70.33deg$