Download Math 105 - 7.8 - Solving Trigonometric Equations

Math 105 - 7.8 - Solving Trigonometric Equations
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1) a) Solve the equation for solutions in the interval 0
3
sin =
2
<2 .
b) Now, find all solutions
2) a) Solve the equation for solutions in the interval 0
2 sin + 3 = 2
<2 .
b) Now, find all solutions
3) a) Solve the equation for solutions in the interval 0
2 cos = -1
<2 .
b) Now, find all solutions
4) a) Solve the equation for solutions in the interval 0
5 csc - 2 = 3
<2 .
b) Now, find all solutions
Use a calculator to solve the equation on the interval 0
5) tan = 3.7
< 2 . Round the answer to two decimal places.
Using a graphing utility, solve the equation on the interval 0
6) 2 csc = 5
Solve the equation for the interval [0, 2 ).
7) 2 cos2x + 1 = 0
8) cos2 x + 2 cos x + 1 = 0
9) 2 sin2x = sin x
10) sin2x - cos2 x = 0
1
< 2 . Round answer to three decimal places.