Evaluate the following functions Note Your answer must be in

Evaluate the following functions. Note: Your answer must be in EXACT form: it cannot contain trig functions, it must be either an integer or a fraction. If the answer involves a square root write it as sqrt . E.g. the square root of 2 should be entered as sqrt(2).

(a) If t=0 , sint= _____ cost=_____

(b) If t=pi/4

(c) If t=pi/2

(d) If t=(3pi)/4

(e) If t=pi

(f) If t=(5pi)/4

(g) If t=(3pi)/2

(h) If t=(7pi)/4

Solution

(a) If t=0 , sint= __0___ cost=__1___

(b) If t=pi/4, sint= __1/sqrt(2)___ cost=__1/sqrt(2)___

(c) If t=pi/2, sint= __1___ cost=__0___

(d) If t=(3pi)/4, sint= __1/sqrt(2)___ cost=__-1/sqrt(2)___

(e) If t=pi, sint= ___0__ cost=__-1___

(f) If t=(5pi)/4, sint= __-1/sqrt(2)___ cost=__-1/sqrt(2)___

(g) If t=(3pi)/2, sint= ___-1__ cost=__0___

(h) If t=(7pi)/4, sint= __-1/sqrt(2)___ cost=__1/sqrt(2)___