Question
If 2cos2 Ɵ – 5cos Ɵ + 2 =
0,00 < Ɵ < 900 , then the value of (cosec Ɵ + cot Ɵ) is :Solution
2cos²θ-5cosθ+2 = 0, 0°<θ<90° 2cos²θ-4cosθ-cosθ+2=0 (2cosθ-1) (cosθ-2) = 0 ∴ cosθ = ½ θ = 60° ∴ cosecθ + cotθ = cosec60° + cot60° = 2/ √3 + 1/ √3 = √3
If a3 = 117 + b3 and a = 3 + b, then the value of a + b is:
Find x, given 5 (√5)x+6 = (√5)2x+7 :
The value of the expression (1 + sec22° + cot68°)(1 – cosec22° + tan68°) is
If 0 ≤ θ ≤ 90°, and sec107 θ + cos107 θ = 2, then. (secθ + cosθ) is equal to:
If x sin3 θ + y cos3 θ = sin θ cos θ and x sin θ − y cos θ = 0, then the value of x2 + y2 equals
If x + y + z = 0, then what is the value of (3y2 + x2 + z2)/(2y2 – xz)?
There are 6 blue pens, 5 black pens and 4 green pens in a bag. Three pens are chosen randomly.
Quantity I – The probability of their being...
If 8x2 + y2 − 12x − 4xy + 9 = 0, then the value of (14x − 5y) is :
If (a + b)/c = 6/5 and (b + c)/a = 9/2, then what is the value of (a + c)/b?
The value of = 3/4 ÷ 3/4 of 4/3 + 5/2 ÷ 2/5 of 5/4 – (2/3 + 2/3 of 5/6) is :