3 years ago

Verify the identity. tan(x+(pi/2)) = -cot x

1 answer:

4 0

Tan (x + π/2) = [sin (x + π/2) / cos (x + π/2)] = [sin x cos π/2 + sin π/2 cos x] / [cos x cos π/2 - sin x sin π/2] = cos x / - sin x = -cot x

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FinnZ [79.3K]

Answer:

They are not co-linear.

Step-by-step explanation:

For three point's to be co linear the slopes of the lines connecting them should be same

Mathematically we can write for $(x_{1},y_{1}),(x_{2},y_{2}),(x_{3},y_{3})$

to be co-linear we should have

$\frac{y_{3}-y_{2}}{x_{3}-x_{2}}=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}=\frac{y_{3}-y_{1}}{x_{3}-x_{1}}$

Applying the given values we obtain

$\frac{y_{3}-y_{2}}{x_{3}-x_{2}}=\frac{8-6}{0-4}=-1/2\\\\\frac{y_{2}-y_{1}}{x_{2}-x_{1}}=\frac{6-2}{4-3}=3\\\\\frac{y_{3}-y_{1}}{x_{3}-x_{1}}=\frac{8-2}{0-3}=-2$

As we can see the values are not equal thus the points are not co-linear.

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Answer:

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