Question

Find the value of cosec(-2025degree)

Answer 1

cosec (-2025°) is equal to sq.root 2

Answer 2

Answer:

The value of $Cosec$ $(-2025)$ ° = $\sqrt{2}$

Step-by-step explanation:

Given problem is about finding $Cosec$ $(-2025)$°    

⇒   $Cosec(-2025)$° = $- Cosec (2025)$     [ $Cosec$ (-θ) = $- Cosec$ θ ]

⇒  $- Cosec$ (11$\pi$- 45°)                          [ 2025 = 11(180) - 45 ]

⇒   $-Cosec (-45$°$)$ =  $Cosec 45$°           [ $Cosec (180-$θ$)$ = $Cosec$ θ ]

⇒   $Cosec ( 45$°$)$  =  $\sqrt{2}$  

( from trigonometric values table $Cosec$ 45°= $\sqrt{2}$ )

⇒   $Cosec$ $($$-2025$$)$°  =  $\sqrt{2}$