cot230° — 2cos230° — (3/4)sec245° + (1/4)cosec230°

cos 30° = √3/2 , cos2 30° = 3/4

sin 30° = 1/2


cosec 30° = 1/sin30° = 2 cosec2 30° = 4


cot 30° = (cos 30°/sin 30°) = √3 cot2 30° = 3


cos 45° = 1/√2


sec 45° = 1/cos 45° = √2 sec2 45° = 2


cot230° — 2cos230° — (3/4)sec245° + (1/4)cosec230°


= 3 – 2(3/4) – (3/4) × 2 + (1/4) × 4


= 3 – 1.5 – 1.5 + 1


= 1


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