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Mathematics 11 Online
OpenStudy (anonymous):

Any body need help on cacle finding sec an csc

Parth (parthkohli):

Sure bro.

Parth (parthkohli):

Let me type out a nice little lesson.

Parth (parthkohli):

\[\sec(\theta) = \frac{1}{\cos(\theta)} \ \ \ \ \ \ \ \ \ \csc(\theta) = \frac{1}{\sin(\theta)}\]\(\cos\) is the ratio of adjacent to hypotenuse. \(\sin\) is the ratio of opposite to hypotenuse.

Parth (parthkohli):

Okay, so what if you are given \(\sin(\theta) = \dfrac{3}{5}\)? It is clear that we have this triangle: |dw:1357374831615:dw| Now, use the Pythagorean Theorem. You have \(4\) as the remaining side.

Parth (parthkohli):

So, \(\cos(\theta) = \dfrac{4}{5}\). Using the formulae initially given to you, you get:\[\boxed{\sec(\theta)= \dfrac{5}{4}} \rm \ \ and \ \ \boxed{\csc(\theta) = \dfrac{5}{3}} \]

Parth (parthkohli):

Use the example to do your problem.

OpenStudy (anonymous):

reciprocals all you need to know.

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