verify :cot^2 30°(sec 30° - 1)=sec^2 30°[1-sin30/1+sec30°]
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Step-by-step explanation:
cot² 30° (sec 30°-1)=sec² 30°[1-sin 30°/1+sec 30°],
Substitute the given values from the table :
(√3)² (2/√3-1)=(2/√3)²[1-1/2 ÷ 1+2/√3],
3*2-√3/√3=4/3*[1/2 ÷ √3+2/√3],
6-√3/√3=4/3[1/2*√3/√3+2],
6-1=4/3[√3/2*(√3+2)],
5=4/3*√3/2√3+4,
5=√3/3*2√3,
5=√3/6√3,
5 is not equal to 1/6,
Hope it helps you
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