if <br /> <b>Warning</b>:  Unknown: Unable to allocate memory for pool. in <b>Unknown</b> on line <b>0</b><br /> <br /> <b>Warning</b>:  require_once() [<a href='function.require-once'>function.require-once</a>]: Unable to allocate memory for pool. in <b>/home/greycel/www/topperbeta.topperlearning.com/topper_forums/styles/prosilver/template/tiny_mce/plugins/tiny_mce_wiris/integration/service.php</b> on line <b>21</b><br /> <br /> <b>Warning</b>:  include() [<a href='function.include'>function.include</a>]: Unable to allocate memory for pool. in <b>/home/greycel/www/topperbeta.topperlearning.com/topper_forums/styles/prosilver/template/tiny_mce/plugins/tiny_mce_wiris/integration/service.php</b> on line <b>22</b><br /> 15 tan squared A plus 4 s e c squared A equals 23 comma space f i n d space t h e space v a l u e space o f space open parentheses s e c A plus cos e c A close parentheses squared minus sin squared A

Asked by araima2001 | 12th Sep, 2015, 02:25: PM

Expert Answer:

G i v e n space t h a t space 15 tan squared A plus 4 s e c squared A equals 23. W e space n e e d space t o space f i n d space t h e space v a l u e space o f space open parentheses s e c A plus cos e c A close parentheses squared minus sin squared A 15 t a n squared A plus 4 s e c squared A equals 23 rightwards double arrow 15 t a n squared A plus 4 open parentheses 1 plus tan squared A close parentheses equals 23 rightwards double arrow 15 t a n squared A plus 4 plus 4 t a n squared A equals 23 rightwards double arrow 19 t a n squared A equals 23 minus 4 rightwards double arrow 19 t a n squared A equals 19 rightwards double arrow t a n squared A equals 1 rightwards double arrow t a n A equals plus-or-minus 1 rightwards double arrow A equals straight pi over 4 T h u s comma space sin A equals fraction numerator 1 over denominator square root of 2 end fraction equals cos A comma space s e c A equals square root of 2 equals cos e c A T h u s comma space space open parentheses s e c A plus c o s e c A close parentheses squared minus s i n squared A equals space open parentheses square root of 2 plus square root of 2 close parentheses squared minus open parentheses fraction numerator 1 over denominator square root of 2 end fraction close parentheses squared space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals space open parentheses 2 square root of 2 close parentheses squared minus 1 half space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals 8 minus 1 half space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals fraction numerator 16 minus 1 over denominator 2 end fraction space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals 15 over 2 space space space space space space space space space space space space space space space space

Answered by Vimala Ramamurthy | 12th Sep, 2015, 05:36: PM

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