MEDIUM
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The complete set of values of x, satisfying the inequality cos2x>sinx, where x-π2, π is

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Important Questions on Trigonometric Equations and Inequations

EASY
The number of solutions of r=14cosrx=4 in the interval [0,2π] is
HARD

Let f:0, 2 be the function defined by

fx=3sin2πxsinπxπ4sin3πx+π4.

If α, β0, 2 are such that x0, 2 :fx0=α, β, then the value of βα is _____

HARD
All possible values of θ0,2π for which sin2θ+tan2θ>0 lie in :
MEDIUM
If -π/2<p<π/2, then the values of 'p' for which 2sin2p-7sinp+3>0 lie in
HARD
All the pairs (x, y), that satisfy the inequality 2sin2x-2sinx+5·14sin2y1 also satisfy the equation:
HARD
The general solution of inequality cos2x-sinx is
EASY
If θ  0, 2π then complete set of values of θ satisfying the inequality 2sin2θ-5sinθ+2>0 is
EASY
If xi>0 for 1in and x1+x2+x3+...+xn=π then the greatest value of the sum sinx1+sinx2+sinx3+...+sinxn=...
HARD
For each natural number n  2 , the largest possible value of the expression

Sn=sinx1cosx2+sinx2cosx3++sinxncosx1 (where x1, x2 ... xn are arbitrary real numbers)
MEDIUM
If tanA=2tanB+cotB,  then 2tanA-B  is equal to
HARD
If x  0, 2π then the complete solution set of equation logtanπ3cosx<0 is
MEDIUM
The set of values of θ satisfying the inequation 2sin2θ-5sinθ+2>0, where 0<θ<2π, is
HARD

If  A=θ:2cos2θ+sinθ2 & B=θ:π2θ3π2and . Then, AB is equal to

HARD
Complete set of values of x lying in 0,2π satisfying the inequality sinx>2sin2x is