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Grade 1010 grade maths

calculate the value of sin(-45) without using calculator

Profile image of Aakriti Poudel
9 Years agoGrade 10
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2 Answers

Profile image of CHALLA NAVNEESWAR REDDY
9 Years ago
we know that,
sin(-x) =-sin x
therefore
from sin(-45),
=-sin45      =  we know that  sin 45=1/root 2
therefore  sin(-45)  = -sin45     =-1/root2
Profile image of Vinay
9 Years ago
sin(-45) = sin(0-45)
=> sin(a-b) = sin(a)cos(b) – sin(b)cos(a)
so,
      sin(0-45) = sin(0)cos(45) – sin(45)cos(0)
                    = 0 – (1/sqrt(2))1
                    = -1/sqrt(2)