Question

24 Evaluate :
5 cos 60° + 4 sec230°-tan 45º
sin? 30° + cos? 30​

Answer 1

Answer:

Given:    ( 5cos²60° + 4sec²30° -tan²45°) / sin²30° + cos²30°

⇒ [5× (1/2)² + 4 ×(2/√3)² - (1)²]  / (1/2)² + (√3/2)²

( as cos 60° = 1/2 , sec 30° = 2/√3 , tan 45° = 1 ,sin 30° = 1/2 and cos 30° = √3/2)

⇒  [5 × 1/4 + 4 × 4 /3 -1]   / 1/4 + 3/4

⇒  [5/4 + 16/3 -1]   / 1/4 + 3/4

⇒  [(15 + 64 - 12)/12] / 4/4

⇒ 67 / 12 is the correct answer.  

 

 Hope it will help u.

mark this as brainliast.