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cos 45 = 1/√2 sec 30 = 2/√3 cos 30 = √3/2
now , cos 45/sec 30 + cos 30
=> 1/√2 ÷ (2/√3 + √3/2)
=> 1/√2 ÷ (√3 + 2)/2√3
=> (2√3)/√2(√3+2)
=> (√2*√2*√3)/√2(√3+2)
=> √6/√3+2
=> √6(2-√3)/(2+√3)(2-√3)
=> √6 (2-√3)/4-3
=> 2√6 - √18
=> 2√6 - 3√2
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hope this may help.....
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