### 第十七章：指数函数与对数函数 exponential function and logarithmic function

10.3 解三角方程式 Solve Trigonometric Equations
Solve the following trigonometric equations with given range of angle （1 ~ 11）

(1)

(2)

(3)

(4)

(5)
22.5, 67.5, -112.5, -157.5
(6)
0, , , ,
(7)
41.81, 120, 138.19 , 240
(8)
0, 120, -120
(9)
45, 114.3, 225, 335.7
(10)
, , , , ,
(11)
, ,
Give the general solution of the following trigonometric equations. （12 ~ 17）

(12)
,
(13)
(14)
(15)
(16)
(17)
Solve the following a sin x + b cos x = c trigonometric equations with given range of angle （18 ~ 21）

(18)

(19)

(20)

45, 161.57, 225, 341.57

(21)
（一般解、general solution)
(22) Express in term of where R > 0 and is acute angle. Find the values of R and \alpha. Hence,

(a) write down the maximum value of

(b)　solve the equation , where

(a) 2

(b) ,

(23) If = = , find

= = , 求

(a) the values of a, b and c,

a, b 和 c的值，

(b) the maximum and minimum values of ,

(c) the general solution of the equation .