KVPY Government Jobs Exams

The number of roots of the equation cos^7θ – sin^4θ = 1 that lie in the interval [0, 2π] is-
(A) 2 (B) 3 (C) 4 (D) 8

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KVPY Other Question

Let ABC be an equilateral triangle, let KLMN be a rectangle with K, L on BC, M on AC and N on AB.
Suppose AN/NB = 2 and the area of triangle BKN is 6. The area of the triangle ABC is-
(A) 54 (B) 108
(C) 48 (D) not determinable with the above data The product (1 + tan 1º) (1 + tan 2º) (1 + tan 3º) …. (1 + tan 45º) equals-