Question

(cos30 - sin45) divided by (sin²30 + tan²45)

Answer 1

cos 30= √3/2

sin 45 = 1/√2 =√2/2

√3/2+√2/2= (√3+√2)/2 ....(1)

sin ^2 30= (1/2)^2 =1/4

tan ^2 45= (1)^2=1 .

Thus the required answer is

(√3+√2)/2÷ (1/4+1)

(√3+√2)/2×(4/5)

(√3+√2 )×2/5