al husnain science education system jarpal. M.Nadeem Ashraf Math11th

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al husnain science education system jarpal. M.Nadeem Ashraf Math11th

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al husnain science education system jarpal. M.Nadeem Ashraf Math11th

  1. 1. AL Hussnain Science Education System, Jarpal MATH UNIT_9 Time: 1 Hour F.Sc Part_I Marks: 35 SECTION_I Q.No.1: Encircle the correct answer of the following. (i) An angle is said to be positive if rotation is: (a) Clockwise (b) counter clockwise(c) 3600 (d) none (ii) One rotation (anticlockwise) is equal to: (a) 3600 (b) 900 (c) -3600 (d) 1800 (iii) Zero degree is equal to: (a) rad (b) rad (c) 30 rad (d) o rad (iv) 1+tan2 =……….. (a) Cot2 (b) s in2 (c) cos ec2 (d) sec2 (v) Cos (-750) =…….. (a) Cos 650 (b) cos 750 (c) –cos750 (d) none SECTION_II Q.No.2: Short Questions (i) Prove that, sin2 +cos2 = 1 (ii) Find X, when sin600 -cos450 =x sin450 cos60 (iii) Define Radian and Degree (v) Convert 540 into radian? (iv) What is the circular measure of the angle between hands of a watch at 4 O, clocks? SECTION-II Q.No.3: Prove that =sec -tan , where is not odd multiple of . (b) Prove that + =2sec2 Q.No.4: If Cosec = and m>0 (0< < ), Find values of remaining trigonometric functions. (b) What is the length of arc intercepted on a circle of radius 14cm by the arms of a central angle of 450 ? AL Hussnain Science Education System, Jarpal MATH UNIT_9 Time: 1 Hour F.Sc Part_I Marks: 35 SECTION_I Q.No.1: Encircle the correct answer of the following. (i) An angle is said to be positive if rotation is: (a) Clockwise (b) counter clockwise(c) 3600 (d) none (ii) One rotation (anticlockwise) is equal to: (a) 3600 (b) 900 (c) -3600 (d) 1800 (iii) Zero degree is equal to: (a) rad (b) rad (c) 30 rad (d) o rad (iv) 1+tan2 =……….. (a) Cot2 (b) s in2 (c) cos ec2 (d) sec2 (v) Cos (-750) =…….. (a) Cos 650 (b) cos 750 (c) –cos750 (d) none SECTION_II Q.No.2: Short Questions (i) Prove that, sin2 +cos2 = 1 (ii) Find X, when sin600 -cos450 =x sin450 cos60 (iii) Define Radian and Degree (v) Convert 540 into radian? (iv) What is the circular measure of the angle between hands of a watch at 4 O, clocks? SECTION-II Q.No.3: Prove that =sec -tan , where is not odd multiple of . (b) Prove that + =2sec2 Q.No.4: If Cosec = and m>0 (0< < ), Find values of remaining trigonometric functions. (b) What is the length of the arc intercepted on a circle of radius 14cm by the arms of a central angle of 450 ?

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