Trigonometric EquationMedium
Question
Number of ordered pairs (a, x) satisfying the equation sec2( a + 2) x + a2 - 1 = 0; - π < x < π is -
Options
A.2
B.1
C.3
D.Infinite
Solution
tan2 (a + 2)x + a2 = 0
⇒ tan2 (a + 2)x = 0 and a2 = 0
tan2 2x = 0 ⇒ a = 0 ordered pair (a, x)
x = 0,
, - 
⇒ a = 0 (0, 0) (0, π/2) (0, -π/2)
⇒ tan2 (a + 2)x = 0 and a2 = 0
tan2 2x = 0 ⇒ a = 0 ordered pair (a, x)
x = 0,
, - ⇒ a = 0 (0, 0) (0, π/2) (0, -π/2)Create a free account to view solution
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