math midterm3 review

math midterm3 review - Pre16A Midter m 3 ~ Re view Proble...

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Pre16A Midterm 3 ~ Review Problems 1. Find the six trig functions for the given angle: a) ! = 4 " 3 b) = 3 2 c) = 7 4 d) = 5 6 e) = 2 f) = 2. If sin < 0 and cos < 0 , then is in which quadrant? 3. If sin = " 10 4 and cot < 0 , find sec . 4. If sin A = ! 2 3 , cos B = 1 2 , and A & B are in quadrant IV, find the following: a) sin( A ! B ) b) cos( A + B ) c) sin(2 A ) 5. For what angles , where 0 ! < 2 # , does a) csc undefined b) 4sin 2 = 1 c) tan 2 = tan d) 4sin 3 = 3sin e) tan undefined f) 2sin 2 " 3sin + 1 = 0 g) sin = " 3 2 h) tan = 1 i) 2sin 2 = sin j) cos = " 2 2 k) sin2 = 3 2 l) cos2 = 1 2 m) sin3 = 1 2 n) 2cos sin + sin = 0 6. Use the definition of the trig functions to show that the following identity is true: a) sec 2 " 1 = tan 2 b) cot (tan + cot ) = csc 2 7. A 300ft guy wire is attached to the top of a TV tower, making an angle of 3 radians with the ground. a) How tall is the TV tower? b) How far from the base of the tower is the wire attached? 8. At 4:00p.m., the angle of elevation of the sun to the top of a tree is 6 radians, making a 25ft shadow. How tall is the tree? 9. Simplify: a) sin73 o cos13 o ! sin13 o cos73 o b) cos50 o cos10 o ! sin50 o sin10 o c) sin17 o cos40 o ! sin40 o cos17 o d) sin20 o sin80 o ! cos20 o cos80 o
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10. Graph one period. Label the important points on the axes. a)
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math midterm3 review - Pre16A Midter m 3 ~ Re view Proble...

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