# Practice Lesson 7.7 by ajizai

VIEWS: 89 PAGES: 3

• pg 1
```									                        Practice Lesson 7.7
Solving Trig Equations

Some solutions go well beyond inverse relations so be careful!!!

Solve for x on the interval [0,2 ]

2sin2 x  1  0

3 cot x  1  0


cos(2x        )  1
2

Solve each and give a general formula for all solutions

x
tan      1
2

sec2x  2
Practice Lesson 7.7: Solutions
Solving Trig Equations

Some solutions go well beyond inverse relations so be careful!!!

Solve for x on the interval [0,2 ]

2sin2 x  1  0

1
sin x  
2
 3 5 7
x , , ,
4 4 4 4

3 cot x  1  0

1
cot x  
3
2 5
x      ,
3 3


cos(2x      )  1
2
cos( )  1 means   

That leads to 2x          and
2
3
x
4

Graph the original equation (set your window properly) and see if there are
other solutions.
Hmmmmm…. x = what else? Why?

Solve each and give a general formula for all solutions

x
tan      1
2
x           
  ,x  
2    4       2

General formula: x             k, k is an integer… not sure, check it by graphing
2
sec2x  2
2      
2x     ,x 
3      3
                   2
General Formula: x          k and x         k where k is an integer
3                    3

```
To top