(Q5)In a triangle △XYZ,∠Y is right angle,XZ=17m and YZ=15cm,then find (i)sin X (ii)cos Z (iii)tan X

17m15mXYZ

Given:

△XYZ,∠Y is right angle,XZ=17m and YZ=15cm,

To Find:

(i)sin X
(ii)cos Z
(iii)tan X

SOLUTION:

By Pythagoras theorem,

XZ2=YZ2+XY2

2= 2+XY2

XY2=

XY=

(i)sin(X)=
opposite side of x
hypotenuse
YZ
XZ
=
(ii)cos(Z)=
adjacent side
hypotenuse
YZ
ZX
=
(iii)tan(x)=
opposite side of x
adjacent side of x
YZ
XY
=