Value of the expression root 3 cosec 20 - sec 20 = ?
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√3cosec20° - sec20°
= √3/sin20° -1/cos20°
=2{ √3/2/sin20° - 1/2/cos20°}
= 2{ √3/2cos20° - 1/2sin20°}/(sin20°.cos20°}
= 4{ sin60.cos20 -cos60sin20}/(2sin20.cos20}
=4sin(60-20)/sin40°
= 4sin40°/sin40°
= 4 = RHS
= √3/sin20° -1/cos20°
=2{ √3/2/sin20° - 1/2/cos20°}
= 2{ √3/2cos20° - 1/2sin20°}/(sin20°.cos20°}
= 4{ sin60.cos20 -cos60sin20}/(2sin20.cos20}
=4sin(60-20)/sin40°
= 4sin40°/sin40°
= 4 = RHS
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