Question

Value of ( 5 cos^2 60°+4 sec^2 30°- tan^2 45°} /(sin^2 30°+ cos^2 30 °}

Answer 1

Answer:

Step-by-step explanation:

5cos²60° + 4sec²30° -tan²45°

-------------------------------------------------------

sin²30° + cos²30°

=> 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

-----------------------------

1 + 3/4

=> 15 + 64 - 12/12 { lcm}

------------------------------

4/4

=>55/12 = 21/4

55/12 Answer

Hope it helps you !!!