Multiple angles

JEE Main Mathematics · Trigonometric Identities · 4 questions, latest first

• Let the range of the function f(x)=6+16 cos x · cos ((π)/3-x) · cos ((π)/3+x) · sin 3 x · cos 6 x, x ∈ R be [α, β]. Then the…202523 January, Shift 2 · Q11
• If the value of (3 cos 36^°+5 sin 18^°)/(5 cos 36^°-3 sin 18^°) is (a √5-b)/c, where a, b, c are natural numbers and gcd(a, c)=1,…20248 April, Shift 2 · Q20
• The sum of the solutions x ∈ R of the equation (3 cos 2 x+ cos^3 2 x)/(cos^6 x- sin^6 x)=x^3-x^2+6 is202429 January, Shift 2 · Q20
• The value of tan 9^°- tan 27^°- tan 63^°+ tan 81^° is ____.20236 April, Shift 2 · Q30