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67782404-Math-17-5th-LE-Sample-Exam-with-Solutions

# 67782404-Math-17-5th-LE-Sample-Exam-with-Solutions -...

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Mathematics 17 Fifth Long Exam GENERAL DIRECTION: Write the exam code of the test paper at the upper right corner of your bluebook (front). Write your student number below the code. Show all necessary solutions and box the final answers. Refrain from using calculators. Leave all radical expressions ( 2, - 5, etc.) in its form, unless if it can be simplified. Cheating is punishable by deduction. I. Solve for the value of x . Check your final answers. [4 points each] 1. 3 cos x - sin 2 x = 0 where 0 x < 2 π 2. sec 5 x = 4 sec x where 0 x < 2 π 3. x = cos[Arctan 15 17 - Arcsin 8 17 ] 4. Arccot x + π 4 = Arccos[cos( - π 3 )] - Arcsin 2 2 5. Arccos 1 x + Arctan 1 2 x = π 2 II. Do as indicated. 1. Let y be the remainder when the RIGHTMOST DIGIT of your student number is divided by 4. Convert the assigned item to its rectangular form and find its 2 square roots. All trigonometric expressions should be simplified. [5 points] remainder 0: cis π 4 remainder 2: cis 5 π 4 remainder 1: cis 3 π 4 remainder 3: cis 7 π 4 2. Simplify. [4 points] i 102 (3 3 - 3 i ) 5 (

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