4: Find the value of √3 cosec 20° – sec 20°.
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Answer:
=2(sin20∘3/2−cos20∘1/2)
=2(sin20∘sin60∘−cos20∘cos60∘)
=2(sin20∘cos20∘sin60∘cos20∘−cos60∘sin20∘)
=2(sin20∘cos20∘sin(60∘−20∘))
=2sin20∘cos20∘sin40∘
=2×sin20∘cos20∘2sin20∘cos20
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