How do you simplify $sec x sin (\frac{π}{2} - x)$ $secxsin(pi/2-x)$ ?

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How do you simplify $sec x sin (\frac{π}{2} - x)$ $secxsin(pi/2-x)$ ?

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Answer 1 · 2015-10-17T16:31:08

Simplify: $sec x . sin (\frac{π}{2} - x)$ $sec x.sin (pi/2 - x)$

Ans: 1

Explanation:

Trig unit circle --> $sin (\frac{π}{2} - x) = cos x$ $sin (pi/2 - x) = cos x$
$sec x . sin (\frac{π}{2} - x) = (\frac{1}{cos x}) (cos x) = 1$ $sec x.sin (pi/2 - x) = (1/cos x)(cos x) = 1$

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How do you simplify $sec x sin (\frac{π}{2} - x)$ $secxsin(pi/2-x)$ ?

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