Find the principal values of the following: 1. sin1 1 2 2. cos1 3 2 3. cosec1 (2) 4. tan1 ( 3) 5. cos1 1 2 6. tan1 (1) 7. sec1 2 3 8. cot1 ( 3) 9. cos1 1 2 10. cosec1 ( 2 ) Find the values of the following: 11. tan1(1) + cos1 1 2 + sin1 1 2 12. cos1 1 2 + 2 sin1 1 2 13. If sin1 x = y, then (A) 0 y p (B) 2 2 y p p (C) 0 < y < p (D) 2 2 y p p < < 14. tan1 ( ) 1 3 sec 2 is equal to (A) p (B) 3 p (C) 3 p (D) 2 3 p
Find the principal values of the following:
Question 1:sin–1 1 2 −
Question 2:cos–1 3 2
Question 3:cosec–1 (2)
Question 4:tan–1 (− 3)
Question 5:cos–1 1 2 −
Question 6:tan–1 (–1)
Question 7:sec–1 2 3
Question 8:cot–1 ( 3)
Question 9:cos–1 1 2 −
Question 10:cosec–1 ( − 2 ) Find the values of the following:
Question 11:tan–1(1) + cos–1 1 2 − + sin–1 1 2 −
Question 12:cos–1 1 2 + 2 sin–1 1 2
Question 13:If sin–1 x = y, then (A) 0 ≤ y ≤ π (B) 2 2 y π p − ≤ ≤ (C) 0 < y < π (D) 2 2 y π p − < <
Question 14:tan–1 ( ) 1 3 sec 2 − − − is equal to (A) π (B) 3 p − (C) 3 p (D) 2 3 p
