3 years ago

What is the value of theta , if tan theta = -1/squareroot3

1 answer:

6 0

$\bf tan(\theta )=-\cfrac{1}{\sqrt{3}}\impliedby \textit{simply means }\implies \measuredangle \theta =tan^{-1}\left( -\frac{1}{\sqrt{3}} \right)$

make sure your calculator is in Degree mode, if you need the angle in degrees, or Radian mode if you need the radian.

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It costs 9.95 for 1 ticket to the movies. If 3 people go, how much would the total price of 3 tickets be?

SIZIF [17.4K]

It would be $9.95 x 3

4 0

3 years ago

21008 rounded to the nearest ten thousands

o-na [289]

The nearest ten thousand is 20,000

6 0

3 years ago

Find thhe remainder when 7^203 is divided by 4

Aleksandr [31]

Using the square-and-multiply approach, we have

$7^{203}=7\times(7^{101})^2$
$7^{101}=7\times(7^{50})^2$
$7^{50}=(7^{25})^2$
$7^{25}=7\times(7^{12})^2$
$7^{12}=(7^6)^2$
$7^6=(7^3)^2$
$7^3=7\times7^2$

and so, using the property that, if $a_1\equiv b_1\mod n$ and $a_2\equiv b_2\mod n$ , then $a_1a_2\equiv b_1b_2\mod n$ , we get

$7\equiv3\mod4$
$7^2\equiv9\equiv1\mod4$
$7^3\equiv7\times1\equiv7\equiv3\mod4$
$7^6\equiv9\equiv1\mod4$
$7^{12}\equiv1\mod4$
$7^{25}\equiv7\times1\equiv7\equiv3\mod4$
$7^{50}\equiv9\equiv1\mod4$
$7^{101}\equiv7\times1\equiv7\equiv3\mod4$
$7^{203}\equiv7\times9\equiv3\times1\equiv3\mod4$