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leonid [27]
3 years ago
5

If two lines intersect, they intersect at two different points. is the statement sometimes, always, or never true.

Mathematics
1 answer:
ivanzaharov [21]3 years ago
5 0
I would say the statement is sometimes true. Straight lines can only intersect at one point. However, sometimes lines overlap and intersect along the entire line.
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 Find sin2x, cos2x, and tan2x if sinx=-15/17 and x terminates in quadrant III
vodka [1.7K]

Given:

\sin x=-\dfrac{15}{17}

x lies in the III quadrant.

To find:

The values of \sin 2x, \cos 2x, \tan 2x.

Solution:

It is given that x lies in the III quadrant. It means only tan and cot are positive and others  are negative.

We know that,

\sin^2 x+\cos^2 x=1

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Now,

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And,

\cos 2x=1-2\sin^2x

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\tan 2x=\dfrac{\sin 2x}{\cos 2x}

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Therefore, the required values are \sin 2x=-\dfrac{240}{289},\cos 2x=-\dfrac{161}{289},\tan 2x=\dfrac{240}{161}.

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