Sr.Teacher II Grade RPSC - MATHEMATICS - Trigonometric Function 2

MATHEMATICS Study Material for Examination for the post of Sr.Teacher Grade II RPSC Gyanpoints +91 9461891001 Examination Questions TRIGONOMETRY Sr.Teacher II Grade RPSC - MATHEMATICS - Trigonometric Function 2 Previous year Examination Questions 01. If the function \( f(x) = \sin x + \cos ax \) is periodic then (H-TET 2008) (1) \( a \) is natural number (2) \( a \) is an integer (3) \( a \) is rational number (4) \( a \) is irrational number 02. The period of the function \( f(x) = |\sin x| + |\cos x| \) is (H-TET 2008) (1) \( \pi \) (2) \( \pi/2 \) (3) \( 2\pi \) (4) None of these 03. The period of the function \( f(x) = \sin^4 3x + \cos^4 3x \) is (H-TET 2008) (1) \( \pi/2 \) (2) \( \pi/3 \) (3) \( \pi/6 \) (4) None of these 04. The value of \( \sin \frac{\pi}{14} \sin \frac{3\pi}{14} \sin \frac{5\pi}{14} \sin \frac{7\pi}{14} \) is (H-TET 2008) (1) 1 (2) 1/4 (3) 1/8 (4) 1/16 05. The maximum value of \( \sin (x + \pi/6) + \cos (x + \pi/6) \) for \( 0 < x < \pi/2 \) is att…