If (sinα + cosecα)2 + (cosα + secα)2 = k + tan2α + cot2α, then k = _______.
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If sinθ + cosθ = a and secθ + cosecθ = b, then the value of b(a2 – 1) is _______.
If a cos θ + b sin θ = m and a sin θ – b cos θ = n, then a2 + b2 is equal to _______.
If sin θ = cos θ, then 2 tan2 θ + sin2 θ – 1 =_____.
If sin(A + B + C) = 1, then tan (A – B) = 1/√3 and sec(A + C) = 2, find A, B and C respectively when they are acute.
If x = r sinθ cos φ, y = r sinθ sinφ and z = r cosθ, then _________.
13 videos|44 docs|187 tests
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13 videos|44 docs|187 tests
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