If $sin A = \frac{3}{5}$ $sin A = 3/5$ , what is $sec A$ $sec A$ ?

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Answer 1 · 2014-11-24T19:38:51

Let ${(mathbf{A} ... "Adjacent"),(mathbf{H} ... "Hypotenuse"),(mathbf{O} ... "Opposite"):}$

Given:
$sin A=3/5={mathbf{O}}/{mathbf{H}} => " Let " {(mathbf{O}=3),(mathbf{H}=5):}$

By Pythagorean Theorem,

$mathbf{A}=sqrt{mathbf{H}^2-mathbf{O}^2}=sqrt{5^2-3^2}=sqrt{16}=4$

Hence,

$sec A=mathbf{H}/mathbf{A}=5/4$

I hope that this was helpful.

If sin A = 3/5sinA=35sin A = 3/5, what is sec AsecAsec A?