1.

ΔXYZ is right angled at Y. If sinX = 12/13, then what is the value of cosecZ ? 1). 5/122). 5/133). 13/54). 13/12

Answer»

⇒ sinX = 12/13

⇒ YZ/XZ = 12/13

Let YZ = 12k and XZ = 13k

By Pythagoras theorem,

XY = √(XZ2 – YZ2) = √{(13k)2 – (12k)2} = √(25k2) = 5k

Now,

COSEC Z = XZ/XY = 13k/5k = 13/5


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