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Course: MATH 6, Fall 2009School: U. Houston
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1330 Math Section 6.3 Solving Trigonometric Equations Periodicity of Sine, Cosine and Tangent Recall: The sine function is periodic with period 2 . The cosine function is periodic with period 2 . The tangent function is periodic with period . Example 1: Given cos( x) = 3 , 2 a. Solve the equation for 0 o x < 360 o. b. Solve the equation for 0 x < 2 . c. Find all solutions to the equation, in...
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1330 Math Section 6.3 Solving Trigonometric Equations Periodicity of Sine, Cosine and Tangent
Recall: The sine function is periodic with period 2 . The cosine function is periodic with period 2 . The tangent function is periodic with period .
Example 1: Given cos( x) =
3 , 2
a. Solve the equation for 0 o x < 360 o. b. Solve the equation for 0 x < 2 . c. Find all solutions to the equation, in radians.
Example 2: Given tan( x ) = 1, a. Solve the equation for 0 o x < 360 o. b. Solve the equation for 0 x < 2 . c. Find all solutions to the equation, in radians.
Example 3: Given 2 sin( x) = 3 , a. Solve the equation for o 0 x < 360 o. b. Solve the equation for 0 x < 2 . c. Find all solutions to the equation, in radians.
o o Example 4: Solve the following equation for 0 x < 360 .
2 cos 2 ( x) 7 cos( x) 4 = 0
Example 5: Solve the following equation for 0 o x < 360o.
4 cos 2 ( x) sin( x) = sin( x)
Example 6: Solve the following equation for
cos( x) + sin( x) tan( x) = 2
0 x &l...
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