Homework

DO IN NOTES

(1) Complete the following tables: t cos t sin t

functionf (x) =

Due Monday domain

range

sin−1 x

0 π 6

cos−1 x

π 4

π 3

tan−1 x

π 2

(2) Evaluate the following if possible. If it is not possible state whether the value exists or is undefined. For each answer also state what quadrant (if any) the terminal point is in.  √  (a) cos( −2π ) (f) sin( 11π ) (k) csc( 2π ) (p) cos−1 −2 2 3 6 3

(b) cot( −π ) 3

(g) cos( 7π ) 3

(l) sin−1 (1)

(c) sin−1 (−1)

(h) tan( 17π ) 3

(m) cos−1 (0)

√ (d) tan−1 ( 3)

(i) sec( 5π ) 6

(n) tan−1 (0)

(e) tan−1 (3)

(j) tan−1 (−1)

(o) sin

(3) Evaluate the following compositions.

(a) sin−1 sin −7π 5

(b) cos−1 cos

−7π 5

(c) sec cos−1

17 29









15π 4

(q) cos(0)

(r) sec

19π 6

(s) sin−1






√  − 3 2




(d) cos sin−1 − 83

(t) cos−1 (−1)





(e) cos (tan−1 (−4))

(f) sin (tan−1 (−4))