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Trigonometry Notes

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Published in: Mathematics
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 Trigonometry Notes And Important Questions. 

Rohit K / Kolkata

3 years of teaching experience

Qualification: B.Tech/B.E. (WEST BENGAL UNIVERSITY OF TECHNOLOGY - 2017)

Teaches: Chemistry, Computer Science, IT & Computer Subjects, Mathematics, All Subjects, Physics

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  1. Chapter 3: Trigonometric functions Concept: Radian measure- relation between degree and radian- trigonometric functions- sign of trigonometric functions- trigonometric functions of sum and difference of two angles- trigonometric equations- sine formula- cosine formula- their applications. Notes: If in a circle of radius r, an arc of length 'l' subtends an angle of 0 radians then I = re. Radian measure ( It/ 180) x degree measure. Sin (-x) = - sin x Cos (-x) = cos x Cos(2na+x) — cos x Sin ( 2mt+x) sin x Sin x 0 gives x = na where n € Z Cos x = 0 gives x (2n+l)1t/2 where n € Z Refer text book for other formulas. Text book questions Ex:3.1 Ex:3.2 Ex:3.3 18,21 , Ex:3.4 Misc. Ex: Examples: Questions: Questions: Questions: Questions: Questions: Questions: 6, 7, 8, 9, 10 5, 6, 11, 12*, 14 , 15 , 16, 24*, 25 2, 3, 5, 6, 7, 10 24 25 26*, 27*, 29 Supplementary text
  2. Ex:3.5 Examples: Questions: 1, 3, 6, 7, 10, 11, 13, Questions: 28 Extra/ HOT Ouestions 1. The angles of a triangle are in A.P and the greatest angle is double the least. Express the angles in degrees and radians 2. Show that the equation cosec x=4ab/(a+ (ab>0) is possible if a=b 3. Show that a) sin 150 cos120 + cos330 sin 660 — cos(90+x) sec(—x)tan(180—x) b) sec(360—x) sin(180+x) cot(90=x) 4. If tan and tan y , show that 5. Show that the following: a) cos 10 cos 50 cos60 cos70=3/16 b) sin 10 sin 50 sin60 sin70=Vä/16 c) cos 20 cos40cos60=1/8 x+y = 450 6. If sin x sin y =1/4 and 3tanx=4tany then prove that sin(x+y)=7/16 sin 11 x sinx+sin7x sin3x 7. Prove that = tan8x cosllx sinx+cos7x sin3x 8. If m tan(x-30)= n tan(x+120) then show that 9. Solve the equation 4 sinx cosx + 2sinx +2cosx+1=0 10. Solve the triangle when c=3.4cm [ans; a=l = -sec2x 11. Show that for any parallelogram, if a and b are the sides of two non parallel sides , x is the angle between these two sides and d is the length of the diagonal that has a common vertex with sides a and b ,then a +b +2ab cos x

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