1-sin²30°/1+sin²30°×cos²60°+cos²30°/cosec²90°-cot²90°÷sin60°tan30°
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SOLUTION :
Given :
sin² 30° + sin² 45° + sin² 60° + sin² 90°
= (½)² + (1/√2√)² + (√3/2)² + (1)²
= ¼ + ½ + ¾ + 1
= ¼ + ¾ + ½ + 1
= (1 + 3)/4 + (1+ 2)/2
[By taking L.C.M]
= 4/4 + 3/2
= 1 + 3/2
= (2 + 3)/2 = 5/2
[ By taking L.C.M]
sin² 30° + sin² 45° + sin² 60° + sin² 90° = 5/2
[sin 60° = √3/2 , sin 45° =1/√2 , sin 90° = 1]
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