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Find the exact value of csc 330° in simplest form with a rational denominator-

2 Answers

6 votes

Answer:


\implies \cosec 330^o = -2

Explanation:

Given :-


  • \cosec 330^o

And we need to find out its value . Firstly we know that 330° lies in 4th quadrant . And In fourth quadrant , cosine and secant are positive and the rest are negative .So cosecant will be negative . Therefore , the result will be -ve. Now we know that ,


\implies \cosec (360^o-\theta)= -\cosec\theta

Using this ,


\implies \cosec (330^o) \\\\\rm\implies cosec(360^o-30^o) \\\\\rm\implies - \cosec 30^o

And the value of cosec 30° is ,


\implies -\cosec 30^o = \boxed{\red{-2}}

Hence the required answer is -2 .

User Byte Ninja
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3 votes
The answer is -2 for the csc and it’s also a rational denominator
User Mark Nunes
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