Math, asked by tanushreemaibam6148, 1 year ago

sin(-660) tan(1050)sec(-420)÷cos(250) cosec(315) cos(510)

Answers

Answered by INVICTUS7
9

Let y = ( sin(-660) tan(1050) sec(-420) ) / ( 
cos(250) cosec(315) cos(510) )
         = 
( sin(-660) tan(1050) sin(315) ) / ( cos(250) cos(-420)  cos(510) )
         
cos (-x) = cos x and sin (-x) = -sin x

Thus y = ( (-sin(660)) tan(1050) sin(315) ) / ( cos(250) cos(420)  cos(510) )
 
          Subtracting each angle values with the nearest multiples of 360

y= ( (-sin(60)) tan(30) sin(45) ) / ( cos(45) cos(60)  cos(30) )


Substituting values for 30,45 & 60

y = 2/ \sqrt{3}  
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