Question

without using trigonometric table find the value of

the answer is 5/6(2+root 3)
plzz explain it step by step
plzz​

Answer 1

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

= (5*(1/2)² + (1/√2)² - 4(1/√3)²) / (2(1/2)(√3/2) + 1)

= (5/4 + 1/2 - 4/3) / (√3/2 + 1)

= ( (15 + 6 - 16) / 12) / ( (2 + √3) / 2)

= (5 * 2) / (12 * (2 + √3))

= 5/ ( 6 (2 + √3))

Answer 2

Yes I am say true and your Answer is not solve this question without trionogical table