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

1 thought on “24 Evaluate :<br />5 cos 60° + 4 sec230°-tan 45º<br />sin? 30° + cos? 30​”

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.

   Reply