Question

Find the value of x, if x-xtan²30/1+tan²30 = sin²30+4cot²45-sec²60​

Answer 1

Answer:

the value of x is 60 please mark me as brainlist

Answer 2

sin30 = 1/2

cot45 = 1

sec60 = 2

cosec45 = √2

sec30 = 2/√3

⇒ (sin²30°+ 4cot²45° - sec²60) (Cosec²45° sec²30°)

⇒ [ (1/2)² + 4(1)² - 2² ] [ (√2)² * (2/√3)² ]

⇒ [ 1/4 + 4 - 4 ] [ 2 * 4/3 ]

⇒ [ 1/4 ] [ 8/3 ]

⇒ 2/3

Therefore, (sin²30°+ 4cot²45° - sec²60°) (Cosec²45°sec²30°) = 2/3

Answer by @Krishhhhnna