Question

in a triangle X, Y, Z angleY is right angle, X, Y=17m and Y, Z=15cm, then find a. sin X b. cosZ c. tanX​

Answer 1

In a triangle XYZ, angle Y is right angle.

So, Hypotenuse is XZ=17cm

YZ=15cm

Pythagoras theorem says:

XZ^2=XY^2+YZ^2

XY^2=17^2-15^2

XY^2=64

= > XY=8cm

Sin X= Opposite side of angle X / Hypotenuse

=YZ/XZ

Sin X = 15/17

Cos Z =Adjacent side of angle Z / / Hypotenuse

=YZ/XZ

Cos Z = 15/17

Tan X = Opposite side of angle X / Adjacent side of angle X

=YZ/XY

Tan X = 15/8