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Pavlova-9 [17]
3 years ago
7

Prove csc(pi/2 -x) = sec x

Mathematics
1 answer:
kifflom [539]3 years ago
6 0

Answer:

see explanation

Step-by-step explanation:

Consider the left side

Using the trigonometric identities

csc x = \frac{1}{sinx} and sec x = \frac{1}{cosx}

Note that sin( \frac{\pi }{2} - x) = cos x

Hence

csc(\frac{\pi }{2} - x)

= \frac{1}{sin(\frac{\pi }{2}-x) }

= \frac{1}{cosx}

= sec x = right side ⇒ proven

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