Trigonometric ratios and basic identities

JEE Main Mathematics · Trigonometric Identities · 3 questions, latest first

• If 10 sin^4 θ+15 cos^4 θ=6, then the value of (27 cosec^6 θ+8 sec^6 θ)/(16 sec^8 θ) is20254 April, Shift 1 · Q12
• If sin x+ sin^2 x=1, x ∈(0, (π)/2), then ( cos^12 x+ tan^12 x)+3( cos^10 x+ tan^10 x+ cos^8 x+ tan^8 x)+( cos^6 x+ tan^6 x) is…202529 January, Shift 2 · Q13
• If sin x=-3/5, where π<x<(3 π)/2, then 80( tan^2 x- cos x) is equal to20248 April, Shift 1 · Q20