The value of the expression 2(sin6θ+cos6θ)-3(sin4θ+cos4θ)+1 is
If sin P + cosec P = 2, then the value of sin7 P + cosec7P is
If cosx.cosy + sinx.siny = -1 then cosx + cosy is
If secA + tanA = a, then the value of cosA is
PQ and RS are common tangents to two circles intersecting at A and B. AB, when produced both sides, meet the tangents PQ and RS at X and Y, respectively. If AB = 3 cm, XY = 5 cm, then PQ (in cm) will be
If O is the orthocentre of a triangle ABC and ∠BOC = 100°, the measure of ∠BAC is