4 years ago

Help please! I’m so stuck, trig identities

Mathematics

1 answer:

Georgia [21]4 years ago

5 0

This is not an identity. Consider $a=0^\circ$ , for which you get

$\dfrac{\sin0^\circ+\sin(90-0)^\circ+1}{\sin0^\circ-\sin(90-0)^\circ}=\dfrac{0+1+1}{0-1}=-2$

but $\cot0=\dfrac1{\tan0}=\dfrac10$ is undefined.

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ella [17]

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3 years ago

What is the arc measure in degrees of abc on circle p in 41 degrees

stiv31 [10]

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Step-by-step explanation:

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3 years ago

An air traffic controller spots two airplanes at the same altitude converging to a point as they fly at right angles to each oth

muminat

So.... notice the picture below

we know when y = 140 and x = 240, r = 250

so let's use the pythagorean theorem

$\bf r^2=x^2+y^2\implies 2r\cfrac{dr}{dt}=2x\cfrac{dx}{dt}+2y\cfrac{dy}{dt}\implies \cfrac{dr}{dt}=\cfrac{x\frac{dx}{dt}+y\frac{dy}{dt}}{r}
\\\\\\
\cfrac{dr}{dt}=\cfrac{240\cdot 480+70\cdot 140}{250}\implies \cfrac{dr}{dt}=500$

now... how much time does the controller have? well, say, plane "y" is going at dy/dt of 140mph, and is 70 miles away, 140 is 2*70, so it can cover those 70 miles in 1/2 hr, and when it does, it'll collide with the other,

so, the controller has that much, less than 1/2 hr