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Dear student,
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v3 cosec20 – sec 20
v3/sin20-1/cos20
=[v3cos20-sin20]/[sin20cos20]
=2[v3/2.cos20 -1/2 sin20]/sin 20cos20
=2[cos30.cos20-sin30.sin20]/sin20cos20
=2[cos(20+30)]/[sin20cos20]
=2os50/sin20cos20
=4cos50/2sin20cos20
=4cos50/sin40
=4cos(90-40)/sin40
=4sin40/sin40
=4
Thanks & Regards
Rinkoo Gupta
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