Answered

Find the best answers to your questions at Westonci.ca, where experts and enthusiasts provide accurate, reliable information. Explore thousands of questions and answers from knowledgeable experts in various fields on our Q&A platform. Discover detailed answers to your questions from a wide network of experts on our comprehensive Q&A platform.

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

Sagot :

The answer is -2 for the csc and it’s also a rational denominator
VirαtKσhli

Answer:

[tex]\implies \cosec 330^o = -2[/tex]

Step-by-step explanation:

Given :-

  • [tex]\cosec 330^o [/tex]

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 ,

[tex]\implies \cosec (360^o-\theta)= -\cosec\theta [/tex]

Using this ,

[tex]\implies \cosec (330^o) \\\\\rm\implies cosec(360^o-30^o) \\\\\rm\implies - \cosec 30^o [/tex]

And the value of cosec 30° is ,

[tex]\implies -\cosec 30^o = \boxed{\red{-2}}[/tex]

Hence the required answer is -2 .

Thanks for stopping by. We strive to provide the best answers for all your questions. See you again soon. Thanks for using our platform. We aim to provide accurate and up-to-date answers to all your queries. Come back soon. Discover more at Westonci.ca. Return for the latest expert answers and updates on various topics.