Question

5cos²60 + 4 sec²30- tan²45/sin²30+ cos²30.Evaluate it.

Answer 1

HELLO DEAR,

5cos²60 + 4sec²30 - tan²45/sin²30 + cos²30

we know:- cos60 = 1/2 , sec30 = 2/√3
tan45 = 1 , sin30 = 1/2 , cos30 = √3/2

Now, 5cos²60 + 4sec²30 - tan²45/sin²30 + cos²30

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

⇒5/4 + 3 - 4 + 3/4

⇒(5 + 3)/4 - 1

⇒8/4 - 1

⇒2 - 1

⇒1

I HOPE ITS HELP YOU DEAR,
THANKS