8.2 1(v)

(v) (5cos²60⁰ + 4sec²30⁰ – tan²45⁰) / (sin²30⁰ + cos²30⁰)

हल –

(5cos²60⁰ + 4sec²30⁰ – tan²45⁰) / (sin²30⁰ + cos²30⁰)

= (5(1/2)² + 4(2/√3)² – (1)²) / ((1/2)² + (√3/2)² )

= (5(1/4) + 4(4/3) – 1) / ( 1/4 + 3/4 )

= (5/4 + 16/3 – 1) / (4/4)

= (15 + 64 – 12)/ 12

= 67/12