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(i) cos 30° (1 + tan 30°)
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= cos 30 (1 + tan 30)
= √3/2 ( 1 + 1/√3)
= √3/2 ( √3+1/√3 )
= √3 X (√3+1 )
——————
2√3
= 3 + √3
——————
2√3
= 3+√3. √3
———— X –––
2√3 √3
= 3√3+3
———-—
6
= 3(√3+1)
—-------—
6
= √3+1
———
2
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