Math Assignment Class X Ch-8 | Trigonometry

Math Assignment | Class X
Chapter 8 |  Trigonometry

Extra questions of chapter 8 class 10 Trigonometric Functions with answer and  hints to the difficult questions. Important and useful math assignment for the students of class 10

For better results

• Students should learn all the basic points of Trigonometry 
• Student should revise NCERT book thoroughly with examples.
• Now revise this assignment. This assignment integrate the knowledge of the students.

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Question 1.  In each case of the following find the other trigonometric ratios:

a) SinA = √3/2        b) CotA = 5/12

c) SecB =  5/3        d) Cosec A = 17/8    

Question 2.  If CosecA =  √10 Then find SecA + TanA.      

Ans. (√10+1)/3

Question 3.  If Cotθ = 5/12 show that:     

Question 4. If tanθ = 4/3, then show that:   

Question 5. If 4 cosθ - 11 sinθ = 0, then find   

Ans: 93/149

Question 6. In triangle ABC right angled at C, if tan A = 1/√3 find sinA cosB + cosA sinB.

Ans: 1

Question 7. Evaluate:- 3sin³30^o + 2cot²30^o - 5cos²45^o - cot45^o.                  

Ans:  23/8

Question 8. Evaluate :    

Ans 47/6

Question 9. Evaluate:   

Ans 4√3/9

Question 10. Show that 4(sin⁴30^o + cos⁴60^o) - 3(sin²45^o - cos²0^o). 

Ans 2

Question 11. If cos(2A - B) = √3/2,  sin(A + 2B)= √3/2  Find A & B. 

Ans. A = 24, B = 18

Question 12. If  θ is an acute angle and 2sinθ - 1= 0 then find 3tan²θ + 8cos2θ - 5.         

Ans 0

Question 13. If  √2 Sin(60^o - θ) = 1, find the value of θ

Ans: 15^o

Question 14.  If 5x = sec x  and 5/x = tan x, then find the value of    .

Ans: 1/5

Question 15. If 15 tan² θ + 4 sec² θ = 23, then find the value of (sec θ + cosec θ )² – sin²θ

Ans: 15/2

Question 16. If cotA =  15/8, then evaluate   .

Ans: 256/225

Question 17. If sec² θ(1 + sin θ)(1 - sin θ) = k, then find k.   

Ans 1

Question 18. Evaluate:  .         

Ans: - 5

Question 19. If tan θ = 4/3, then show that:   

Question 20. Evaluate  (1+ cotA - cosecA) (1 + tanA + secA) 

Ans: 2

Question 21. Prove that:   

Question 22. Prove that:-  sin⁶ θ+cos⁶ θ =1-3sin² θ cos²θ.

Question 23. Prove that:-   2(sin⁶ θ + cos⁶θ - 3(sin⁴θ + cos⁴θ) + 1= 0

Question 24. If cosA + sinA =√2 cosA show that cosA - sinA = √2 sinA.

Question 25. Prove that :    

Question 26. Prove that :   

Question 27. Prove that :- (1 + cotA + tanA) (sinA - cosA) = sinA tanA – cotA cosA.

Question 28. If tanθ + secθ = x , then show that   

Question 29. If  x = pcos³θ and y = qsin³θ, then prove that:   

Question 30. If tanθ + cotθ = 4, then find  tan⁴θ + cot⁴θ                 

Ans[194]

Question 31. If sinθ + sin²θ =1 then prove that cos²θ + cos⁴θ =1.  

Question 32. Prove that :   

Question 33. Prove that :   

Question 34. Prove that sinA(1 + tanA) + cosA(1 + cotA) = secA + cosecA.     

Question 35. Show that (sinθ - cosecθ)(cosθ - secθ) =   .

Question 36. If 4 sinθ = 3, find the value of x, if    

Ans [x = 4/3]

Question 37. If Sinθ - Cosθ = 1/2, then find the value of Sinθ + Cosθ          

Ans  √7/2 

Question 38. If m sinθ + n cosθ = p and m cosθ – n sinθ = q, then prove that m² + n² = p² + q²

Question 39. If tanθ =  ,then prove that : sec θ + tan³ θ cosec θ  =  (2 - a² )^3/2

Question 40.  If   , then find the value of   

Ans 2

Question 41. If tanθ + sinθ = m and tanθ - sinθ = n, Show that m² - n² = 4 

Question 42. If      and     

then prove that     

Question 43. Find the value of sec 30^o, 45^o, 60^o, geometrically.

Question 44. Prove that : 

 

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