Download Extension 5 - Net Start Class

Extension 5.4-5 Including more drill on 5.3
5.3: Solve: [0  x < 2 ) No Calculator.
1.
sin x =
3  sin x
(2)
3 3 tan x = 3
(3) 3 csc 2 x =4
4.
2cos2x – cos x = 1
(5)
cos2x + sin x = 1
(6) 2sin 2x -
7.
cos 2x = ½
(8)
sec 4x = 2
(9) sin
10.
cos 4x(cos x – 1) = 0
(11) tan 2 x  tan x  12  0
2 =0
3
x
=2
2
5.4:
Find the sine, cosine, and tangent of the angle by using a sum or difference formula.
12.
285
(13)
25
12
Write the expression as the sine, cosine, or tangent of an angle.
14.


sin 60 cos 45 - cos 60

sin 45

tan 25  tan 10
(15)
1  tan 25 tan 10
Find the exact value of the trigonometric function given that sin u =
cos v =
16.
5
. Both u and v are angles in Quadrant II.
13
sin (u + v)
(17) cos (u – v)
(18) tan (u + v)
Verify the Identity:
19.
cos(x +

) = - sin x
2
3
and
4
(20) cos 3x= 4 cos 2 x – 3 cos x
Solve: [0  x < 2 ) No Calculator.
21.
sin (x +


) - sin (x - ) = 1
4
4
(22)
cos (x +
3
3
) - cos (x )= 0
4
4
5.5:
Find the exact values of sin 2u, cos 2u and tan 2u using the double angles formulas.
23,
sin u = (-4/5) u in Quadrant 3.
(24) cos u =
2
u in Quadrant 2.
5
Use double angle formulas to verify the identity.
25.
sin 4x = 8 cos 3 x sin x – 4 cos x sin x
Use the half angle formulas to determine the exact values of the sine, cosine, and
tangent of the angle.
19
26.
-75 
(27)
12
u
u
u
Find the exact values of sin   , cos   , tan   .
2
2
2
28.
sin u =
3
2
, u is in Quadrant I (29) cos u =
, u is in Quadrant II
5
7
Simplify with half angle formulas.
30.
1  cos 10 x
2
-
Use product to sum formulas to write the product as a sum or difference.
31. cos

6
sin

6
(32) cos 5x cos 3x
Use the sum to product formulas to write the sum or difference as a product.
33. sin 4x – sin 2x
(34) cos (x +


) - cos (x - )
6
6