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If tanθ =  , then sinθ is (1979)
If α + β + γ = 2π, then (1979)
Given A = sin 2θ + cos^{4}θ then for all real values of θ (1980)
The equation has
The general solution of the trigonometric equation sin x+cos x = 1 is given by : (1981  2 Marks)
The value of th e expression cos ec 20° – sec 20° is equal to (1988  2 Marks)
The general solution of sin x – 3 sin 2x + sin 3x = cos x – 3 cos 2x + cos 3x is (1989  2 Marks)
The equation (cos p – 1) x 2 + (cos p)x + sin p = 0 In the variable x, has real roots. Then p can take any value in the interval (1990  2 Marks)
Number of solutions of the equation tan x + sec x= 2 cosx lying in the interval [0, 2π] is : (1993)
Let then (sec2x – tan2x) equals (1994)
Let n be a positive in teger such that Then (1994)
If ω is an imaginary cube root of unity then the value of (1994)
3 (sin x  cosx)^{4} + 6 (sin x + cosx)^{2 }+ 4 (sin^{6} x + cos^{6}x) = (1995S)
The general values of θ satisfying the equation 2sin^{2}θ – 3sinθ – 2 = 0 is (1995S)
is true if and only if (1996  1 Mark)
In a triangle PQR, ∠R =π /2 . If tan (P/2) and tan (Q/2) are the roots of the equation ax^{2} + bx + c = 0 (a ≠ 0) then. (1999  2 Marks)
Let f (θ) = sinθ(sinθ + sin^{3}θ). Then f(θ) is (2000S)
The number of distinct real roots of = 0 in the interval is (2001S)
The maximum value of (cot α_{1}). (cot α_{2} ) .... (cot α_{n}), under the restrictions and 1 is (2001S)
If α + β = π/2 and β + γ = α, then tan α equals (2001S)
The number of integral values of k for which the equation 7 cos x + 5 sin x = 2k + 1 has a solution is (2002S)
Given both θ and φ are acute an gles and then the value of θ + φ belongs to (2004S)
cos(α – β) = 1 an d cos(α + β) = 1/e where α, β ∈ [–π, π].Pairs of α, β which satisfy both the equations is/are (2005S)
The values of θ ∈ (0, 2π) for which 2 sin^{2}θ – 5 sinθ + 2 > 0, are (2006  3M, –1)
Let and then (2006  3M, –1)
The number of solutions of the pair of equations
2sin^{2}θ – cos2θ = 0
2cos^{2}θ – 3sinθ = 0
in the interval [0, 2π] is (2007  3 Marks)
For x ∈( 0,p ) , the equation sinx + 2sin 2x – sin 3x = 3 has (JEE Adv. 2014)
Let The sum of all distinct solutions of the equation
cot x) = 0 in the set S is equal to (JEE Adv. 2016)
The value of is equal to (JEE Adv. 2016)
447 docs930 tests

447 docs930 tests
