Equations using extreme values

JEE Main Mathematics · Trigonometric Equations · 5 questions, latest first

• The sum of all the integral values of p such that the equation 3 sin^2 x+12 cos x-3=p, x ∈ R, has at least one solution, is:20265 April, Shift 1 · Q12
• The number of solutions of the equation 4 sin^2 x-4 cos^3 x+9-4 cos x=0; x ∈[-2 π, 2 π] is:20241 February, Shift 2 · Q20
• The number of solutions, of the equation e^sin x-2 e^- sin x=2, is:202431 January, Shift 2 · Q2
• Let the set of all a ∈ R such that the equation cos 2 x+a sin x=2 a-7 has a solution be [p, q] and r= tan 9^°- tan 27^°-1/(cot…202427 January, Shift 1 · Q30
• The set of all values of λ for which the equation cos^2 2 x-2 sin^4 x-2 cos^2 x=λ has a real solution x, is202329 January, Shift 2 · Q79