**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) tan^{2} x - sec^{2} x = |
c) sin A tan A + sin(90^{o} - 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**

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 - sin^{2} x)(1 + tan^{2} x) = |

**7) simplify cos
x
_{+ } 1 + sin x _{=}**

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

** 6 cos ^{2}x + 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**

** 2 cos ^{2}q
+ 3 sin q
- 3 = 0**