prove that
1 ) tan11π\3-2sin4π\6-3/4cosec²π\4+4cos²17π\6=3-4√3/2.
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Step-by-step explanation:
tan(11*180/3)-2sin(4*180/6)+3/4cosec²(180/4)+4cos²(17*180/6)
=tan660°-2sin120+3/4cosec²45°+4cos²(510)
=tan60°-2*cos30°+3/4*2-4x9/2
=√3-6/√2+3/2-9/2
=√3-6/√2-3
=√6-6-3√2/√2
=√12-6√2-6/2. (rationalise)
=2√3-6√2-6/2
=√3-3√2-3
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