If cos x + cos y + cos a = 0 and sin x + sin y + sin a = 0, then cot
[AIEEE-2002]
cos 1°. cos 2°. cos 3°.... cos 179° =
[AIEEE-2002]
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Let α and β be such that π < α - β < 3π If sinα + sinβ = -21/65 and cosα + cosβ = -27/65 ,then the value of cos α - β/2 is
[AIEEE-2004]
[AIEEE-2009]
Let cos ( α + β ) = 4/5 and let sin ( α - β ) = 5/13 , where
[AIEEE-2010]
If A = sin2x + cos4x, then for all real x :
[AIEEE-2011]
In a ΔPQR if 3 sin P + 4 cos Q = 6 and 4 sin Q + 3 cos P = 1, then the angle R is equal to :
[AIEEE-2012]
Let f(θ) = sin θ (sin θ + sin 3θ). Then f(θ) :
[JEE 2000 (Scr.)]
Find the maximum and minimum values of 27cos 2x . 81sin 2x.
[JEE 2000 (Mains), 3]
Find the smallest positive values of x & y satisfying, x–y= π/4 , cot x+cot y=2.
[REE 2000, 3]
In an equilateral triangle, 3 coins of radii 1 unit each are kept so that they touch each other and also the sides of the triangle. Area of the triangle is
[JEE 2005 (Scr.)]
Let θ ∈ (0, π/4) and t1 =(tan θ)tan θ, t2 =(tan θ)cot θ, t3 = (cot θ)tan θ, t4 = (cot θ)cot θ, then
[JEE 2006, 3]
One or more than one is/are correct : [Q.7 (a) & (b)]
The maximum value of the expression
The positive integer value of n > 3 satisfying the equation
[JEE 2011]