1) Solve each equation either for 0 < q < 360 (round to nearest tenth of degree) or 0 < x < 6.28 radians (round to hundredths of a radian)

a) Cos q = -.48

b) Sec q = 1.5

 
 
 
 
 

c) Tan x = -1.35

d) Csc x = 2.4

2) Simplify each.

a) (sec x - 1)(sec x + 1) =

b) tan2 x - sec2 x =

c) sin A tan A + sin(90o - A) =

 

3) Let y = -5 sin 3x Give each.

a) amplitude =

b) period length =

c) graph one period and label the appropriate points.

4) Solve each equation for 0 < x < 6.28 (round to nearest hundredth of a
radian)
 

a) 3 sin x = 1

b) 3 sin 2x = 1

5) graph one cycle of the equation y = -4 + 4 cos 2( x - p)
Remember to label the appropriate points.

6) simplify each

a) sin x . sec x =

b) (1 - sin2 x)(1 + tan2 x) =

7) simplify        cos x     ₊  1 + sin x ₌
                        1 + sin x       cos x

8) solve the equation for 0 < x < 6.28 round to hundredths of a radian.

      6 cos²x + 5 cos x + 1 = 0

9) Solve the equation for 0 < x < 6.28. round to the nearest hundredth of a radian.
 

     5 sin x - cos x = 0

10) Solve the equation for 0 < q < 360^o.   Round to the nearest hundredth of a
radian.
 

      2 cos²q + 3 sin q - 3 = 0

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