Trigonometric Functions: Test 4 :DPP: Chapter 3 : class 12th

Chapter 3# : Trigonometric Functions

Subject : Maths                                                         Class XII

Total Marks : 20                                                Time : 40 Min

Q1 In ΔABC if a= 13,b = 14, c =15, find the values of following    (8M)

a) cosB b) sin A/2 c) A( ΔABC) d) sin A 

Q2 In ΔABC prove that 
cotA/2 + cotB/2 + cotC/2 = (a+b+c)/(b+c-a) cotA/2                         (4M)

Q3 In ΔABC, if  Sin²A + Sin²B = Sin²C, then  show that the triangle is right angled triangle.                                                                          (4M)

Q4 Show that in ΔABC ,b cos²C/2 + c cos²B/2 = s                           (4M)