Math Assignment Class XI Ch3  Trigonometric Functions
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Math Assignment / Class XI / Chapter 3 / Trigonometric Functions
Extra questions of chapter 3 class 11 Trigonometric Functions with answer and hints to the difficult questions. Important and useful math. assignment for the students of class 11
For better results
 Students should learn all the basic points of Trigonometry up to 11th standard
 Student should revise NCERT book thoroughly with examples.
 Now revise this assignment. This assignment integrate the knowledge of the students.
ASSIGNMENT FOR XI STANDARD TRIGONOMETRY
Question 1 Find the degree measure for the following radian measure 
Question 2 Find the radian measure for the following degree measure 
Question 3 Find the magnitude, radian and degree, of the interior angles of a regular 
Question 4 If sin Î¸ =12/13 and Î¸ lie in the second quadrant, then find the value of sec Î¸ + tan Î¸. ……………… Ans. [ 5] 
Question 5 Prove the followings i) cos24^{o} + cos 55^{o} + cos 125^{o} + cos 204^{o} + cos 300^{o} = 1/2 ii) sin 600^{o} tan(690^{o}) + sec 840^{o} cot(945^{o}) = 3/2 iii) 
Question 6: Simplify Solution 
Question 7 Evaluate the following : 
Question 8 Prove that : tan70^{o} = tan20^{o} + 2tan50^{o} Solution Hint: Now crossmultiply and simplify the above fraction we get the required result. 
Question 9 
Question 10 If tanA = ktanB, then show that: Solution Hint: tanA = ktanB Now apply componendo and dividendo and using trigonometric formulas. 
Question 11 If tan(A + B) = p, tan(A – B) = q, then show that : Solution Hint: Start from RHS and then putting the value of p and q then simplify and get the result. 
Question 12 An angle Î± is divided into two parts such that the ratio of the tangents of the two parts = k and difference of two parts = x then show that: Solution hint: Let two parts of Î± are p and q, Then ATQ : p + q = Î±, p – q = x, Now applying componendo and dividendo and simplify we get the required result. 
Question 13 Prove that: 
Question 14 Prove that: 
Question 15 Prove That : Solution Hint : Use tan Î¸ = sin Î¸/cos Î¸, then using AB and CD formulas 
Question 16 If cos(Î¸+2 Î±) = n cos Î¸ , then prove that : Solution Hint: Applying componendo and dividendo then applying CD formulas then simplify the fractions we get the required result. 
Question 17 Prove that : sin20^{o} sin40^{o} sin60^{o} sin80^{o} = 3/16 
Question 18 Prove that : cos20^{o} cos40^{o} cos60^{o} cos80^{o} = 1/16 
Question 19 Find the value of sin18^{o } Solution: Î¸ = 18^{o} ⇒ 5 Î¸ = 90^{o} ⇒ 2 Î¸ + 3 Î¸ = 90^{o} ⇒ 2 Î¸ = 90^{o}  3 Î¸ Now taking sin on both side we get Sin (2 Î¸) = Sin (90^{o}  3 Î¸) Sin (2 Î¸) = Cos (3 Î¸) 2Sin Î¸ cos Î¸ = 4Cos^{3} Î¸ – 3cos Î¸ 2Sin Î¸ = 4Cos^{2} Î¸ – 3 2Sin Î¸ = 4(1sin^{2} Î¸) – 3 4 sin^{2} Î¸ + 2sin Î¸ – 1 = 0 Now using quadratic formula here and find the value of sin Î¸ 
Question 20 Prove that : Solution Hint:

Question 21 i) Evaluate: Solution Hint: Using: ii) Evaluate: 
Question 22 Solve: 
Question 23 Solve: 
Question 24 Solve: Solution Hint:

Question 25 Solve: Solution Hint:
Dividing on both side by i.e. by 2

Question 26 Prove that : Solution : 
Question 27 Evaluate: and Solution: 
Note: Each interior angle of a regular polygon is given by : Where n is the number of sides. 

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