I just figured this out on my own. For anyone who is curious:
tan(t) = x/a means the opposite and adjacent legs of a right triangle with angle t, are x and a respectively. By the Pythagorean Therom, this implies that the hypotenuse is sqrt(a^2 + x^2). Since sin t = opp/hyp, sin t =...
tan(t) = x/a => sin(t) = x/sqrt( a^2 + x^2) ?
Folks,
In the solution guide to Kline's calculus book, he gives the following in working a problem:
tan(t) = x/a => sin(t) = x/sqrt( a^2 + x^2)
Can someone explain why this is the case?
Thanks,
Tristan
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https://www.amazon.com/dp/0131103628/?tag=pfamazon01-20
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