Question

find the value of cosec²45-cot²60​

Answer 1

Answer:

hey there!

We know that,

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

Step-by-step explanation:

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Answer 2

Answer:

$\huge{\boxed{\rm{\blue{Cosec²45°-Cot²60°=5/3}}}}$

Step-by-step explanation:

Step-by-step explanation:

Given that:-

Cosec²45°-Cot²60°

=>(√2)²-(1/√3)²

=>2-1/3

=>(6-1)/3

=>5/3

Cosec²45°-Cot²60°=5/3