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Question 1.Find the values of:i. sin 150°ü. cos 75°iii. tan 105°iv. cot 225°Solution:i. sin 15° = sin (45° – 30°)= sin 45° cos 30° – cos 45° sin 30° ii. cos 75° = cos (45° + 30°)= cos 45° cos 30° – sin 45° sin 30° iii. tan 105° = tan (60° +45°) iv. cot … Read more

I. Select the correct option from the given alternatives. Question 1.The value of the expressioncos1°. cos2°. cos3° … cos 179° =(A) -1(B) 0 (D) 1Answer:(B) 0 Explanation:cos 1° cos 2° cos 3° … cos 179°= cos 1° cos 2° cos 3° … cos 90°… cos 179°= 0 …[∵ cos 90° = 0] Question 2.(A) 2cosec … Read more

Question 1. A lies in the 2nd quadrant.We know that,B lies in the 4th quadrant, Question 2.If and A, B are angles in the second quadran, then prove that 4cosA + 3 cos B = -5Solution:Since B lies in the second quadrant, cos B < 0 Question 3. Solution: Question 4.Eliminate 0 from the following:i. x … Read more

Question 1.Find the trigonometric functions of 0°, 30°, 45°, 60°, 150°, 180°, 210°, 300°, 330°, – 30°, – 45°, – 60°, – 90°, – 120°, – 225°, – 240°, – 270°, – 315°Solution:Angle of measure 0°: Let m∠XOA = 0° = 0cIts terminal arm (ray OA) intersects the standardunit circle in P(1, 0).Hence,x = 1 … Read more

I. Select the correct option from the given alternatives. Question 1. (A) 246°(B) 264°(C) 224°(D) 426°Answer:(B) 264° Question 2.156° is equal to Answer:(B) Question 3.A horse is tied to a post by a rope. If the horse moves along a circular path, always keeping the rope tight and describes 88 metres when it traces the … Read more

Question 1.Find the length of an arc of a circle which subtends an angle of 108° at the centre, if the radius of the circle is 15 cm.Solution:Here, r = 15cm and = 9π cm. Question 2.The radius of a circle is 9 cm. Find the length of an arc of this circle which cuts … Read more

Question 1.(A) Determine which of the following pairs of angles are co-terminal.i. 210°, 150°ii. 360°, -30°iii. -180°, 540°iv. -405°, 675°v. 860°, 580°vi. 900°, -900°Solution:210°,- 150°210°-(- 150°) = 210°+ 150°= 360°= 1 (360°),which is a multiple of 360°.∴ The given pair of angles is co-terminal. ii. 360°, – 30°360° – (- 30°) = 360° + 30°= … Read more

1A. Answer in One Sentence: Question 1.What is Journal?Answer:Journal is a book of account in which all types of day-to-day business transactions are recorded in chronologicalorder. Question 2.What is Narration?Answer:Explanation of transaction which is written just below the accounting entry in the particular column is called narration. Question 3.What is GST?Answer:GST is an abbreviated form … Read more

Question 1.For each of the following experiments write sample space ‘S’ and number of sample Point n(S)i. One coin and one die are thrown simultaneously.ii. Two digit numbers are formed using digits 2,3 and 5 without repeating a digit.Solution:i. Sample space,S = {(H, 1), (H, 2), (H, 3), (H, 4), (H, 5), (H, 6), (T, … Read more

9th Std Marathi Kumarbharati Digest Chapter 20.1 विश्वकोश Textbook Questions and Answers 1. टिपा लिहा: प्रश्न 1.विश्वकोशाचा उपयोग.उत्तर:शिक्षणाचा प्रसार खूप झपाट्याने झाला. औदयोगिकीकरणामुळे समाजाच्या वैज्ञानिक व तांत्रिक गरजा वाढल्या. विविध प्रकारचे शब्द अस्तित्वात आले व भाषा समृद्ध झाल्या. त्यामुळे आजच्या यंत्रयुगातील व विज्ञानयुगातील माणसाला आपले ज्ञान विश्वव्यापी व अदययावत करण्यासाठी विश्वकोशाची गरज निर्माण झाली. मानव्यविदया, … Read more