· web viewtan(4θ)sin(2θ)=sin(2θ) 4. 2 3 cos 3a cot 2a + 6 cot 2a -2 cos 3a - 2 =0 5. 2 cos x...

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Solving Trig Equations Review Problems Solve each equation on the interval [0,2π) unless otherwise noted ( #7 and #8) and write the most efficient general solution statement for each. 1. 2sin 2 ( x) −1=sin ( x) 2. csc 4 ( x ) −2 csc 3 ( x ) =csc 2 ( x ) −2 csc ( x) 3. tan ( 4 θ) sin( 2 θ)=sin ( 2 θ) 4. 2 √ 3cos ( 3 A ) cot ( 2 A ) +√ 6cot ( 2 A ) −2cos ( 3 A ) −√ 2=0 5. 2cos ( x )−3=2 sec ( x ) 6. 2sin ( 1.5 x ) cos ( .5 x )− √ 3cos ( .5 x )−2sin ( 1.5 x ) + √ 3=0 7. 8sin 3 x +4sin 2 x=6 sinx +3 Solve this on interval from [-π,π] 8. sec 2 ( πx )− 2=0 Solve this on interval of [0,2) not [0,2π)

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Page 1: · Web viewtan(4θ)sin(2θ)=sin(2θ) 4. 2 3 cos 3A cot 2A + 6 cot 2A -2 cos 3A - 2 =0 5. 2 cos x -3=2 sec (x) 6. 2 sin 1.5x cos .5x - 3 cos .5x -2 sin 1.5x + 3 =0 7. 8 sin 3 x+4

Solving Trig Equations Review Problems

Solve each equation on the interval [0,2π) unless otherwise noted ( #7 and #8) and write the most efficient general solution statement for each.

1. 2sin2 (x )−1=sin (x)

2. csc 4 ( x )−2csc3 ( x )=csc2 ( x )−2csc (x )

3. tan(4 θ)sin(2θ)=sin(2θ)

4. 2√3cos (3 A )cot (2 A )+√6cot (2 A )−2cos (3 A )−√2=0

5. 2cos ( x )−3=2 sec (x )

6. 2sin (1.5x ) cos ( .5 x )−√3cos ( .5x )−2sin (1.5 x )+√3=0

7. 8sin3 x+4sin 2 x=6 sinx+3 Solve this on interval from [-π,π]

8. sec2 (πx )−2=0 Solve this on interval of [0,2) not [0,2π)

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