The point P in the figure below has ycoordinate Find the fo

The point P in the figure below has y-coordinate

.

Find the following.

(a)    sin t

1517

Solution

y coordinate=15/17

that is sin t=15/17

here opposite=15 and hypotenuse=17

therefore adjacent=sqrt(17^2 -15^2)=8

In second quadrant only sin and csc are positive and all others are negative

cos t=-8/17

tan t= -sint/cost=-15/8

sect=-1/cost= -17/8