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ABC is an isosceles right-angled triangle. Assuming AB = BC = x, find the value of each of the following trigonometric ratios :sin45 is 1m, m is
197217_e5fe1fe3408d48a1938c97ab141afe12.png

Solution
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Given: ABC, AB=BC=x, ABC=90
By Pythagoras Theorem,
AC2=AB2+BC2
AC2=x2+x2
AC2=2x2
AC=2x
Since, AB=BC, then by Isosceles triangle property,
ACB=CAB=45
Now, Sin45=SinC=ABAC=xx2=12

m=2

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