SureDen
DEFINITION
If a function is one to one and onto from A to B, then function g which associates each element y ∈ B to one and only one eleme
Question 1: Find the radian measures corresponding to the following degree measures:
(i) 25° (ii) – 47° 30' (iii) 240° (iv) 520&d
Question 1: Let A = {1, 2, 3… 14}. Define a relation R from A to A by R = {(x, y): 3x – y = 0, where x, y ∈ A}. Write down its domain, co-do
Question 1: sin2 (π/6) + cos2(π/3)-tan2(π/4)=(-1/2)
Answer 1: L.H.S.=sin2 (&p
Question 1: Find the principal and general solutions of the equation tan x=3
Question 1: Prove that: 2 cos(π /13)cos(9π /13)+ cos(3π /13)+ cos(5π /13)=0
Answer 1: L.H.S
Exercise 2.1
Question 1: Find the principal value of cosec−1 (− 1/ 2)
Answer 1:
Question 1: Prove that 3sin−1x = sin−1 (3x − 4x3 ), x ∈ [− (1/2) , (1/2)].
An
Question 1: Find the value of cos −1 (cos (13π/6)).
Answer 1:
Given that cos &minu
Property II:
(i) sin (sin-1 x) = x= cos (cos-1 x), &nb
Property VIII:
i
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