Question

without using trigonometric table find the value of​

Answer 1

Step-by-step explanation:

(5sin²30°+cos²45°-4tan²30°)/(2sin30°cos30°+tan45°)

= [5.(1/2)²+(1/√2)²-4.(√3)²] / [(2.1/2.√3/2)+1]

= [5/4 + 1/2 - 4/3] / [√3/2 + 1]

= (5/12) × 2/(2+√3)

= 5(2+√3)/6

Answer 2

Answer:

5/6 × (2 +$\sqrt{3}$)