I hope the answer is clear!

Answer:

cos 45° = 1/√2

sec 30° = 2/√3

cosec 30° = 2

cos 45°÷sec 30°+cosec 30°

1/√2÷2/√3+2

1/√2 ÷ 2+2√3/√3

√3/(2+2√3) *√2

√3/2√2+2√6

Now, Rationalise by multiplying ( 2√2-2√6)

√3÷2√2+2√6* 2√2-2√6÷2√2-2√6

2√6-2√18÷ 8-24

2√6( 1-√3) ÷ (-16)

√6-√18÷ (-8)

Or, √18-√6÷8

3√2-√6÷8 is ur ans...