Q2 of 186 Page 359

The value of (sin2 30° cos2 45° + 4 tan2 30°+ (1/2) sin2 90o + (1/8)cot2 60o) = ?

Consider (sin2 30° cos2 45° + 4 tan2 30°+ (1/2) sin2 90o + (1/8) cot2 60o)


= [(1/2)2 × (1/√2)2 + 4 (1/√3)2 + (1/2) × (1)2 + (1/8)(1/√3)2]


= [(1/4) × (1/2)] + [(4/3)] + (1/2) + (1/24)


= (1/8) + (4/3) + (1/2) + (1/24)


= (3 + 32 + 12 + 1)/24


= 48/24


= 2

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