Question

In right angled A YXZ, ZX = 90°, XZ = 8 cm,
YZ= 17 cm, find sin Y, cos Y, tan Y,
sin Z, cos Z, tan Z.​

Answer 1

Step-by-step explanation:

In right ∆YXZ,

YZ2 = XZ2 + XY2 (Pythagoras theorem)

⇒ XY2 = YZ2 − XZ2

⇒ XY2 = 172 − 82 = 289 − 64 = 225

⇒ XY2 = 152

⇒ XY = 15 cm

Now,

sin Y =

XZYZ =817

cos Y =

XYYZ =1517

tan Y =

XZXY =815

Also,

sin Z =

XYYZ =1517

cos Z =

XZYZ =817

tan Z =

Answer 2

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