Trigonometry - Test Questions-iii

Question 1

Question:   Prove that (2 cos q + 1) (2 cos q - 1) = 2 cos 2q + 1.

Answer:   

Question 2

Question:  

Answer:   

Question 3

Question:  

Answer:   

Question 4

Question:   Prove that

Answer:   

Question 5

Question:  

Answer:   

Question 6

Question:  

Answer:   


(i) Dividing (1) by (2) we get

Question 7

Question:  

Answer:   

Question 8

Question:  

Answer:    Let tan q = t then we have




The above equation is a quadratic in t if t₁ = tan a, t₂ = tan b are the roots of the equation. Then

Question 9

Question:   If the angle q is divided into two parts a and b in such a way

Answer:    By data a + b = q


Dividing (1) by (2), we get

Question 10

Question:  

Answer: