4/3 {sin square 59 -cot ^31}- 2/3 sin 90
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Step-by-step explanation:
= 4/3(sin²59 - cot²31 ) - 2/3sin90
= 4/3(cosec²(90 - 31) - cot²31 ) - 2/3 {sin 90 = 1}
= 4/3 ( cosec²31 - cot²31) - 2/3
= 4/3 - 2/3 (cosec²-cot² = 1}
= 2/3
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