Question

Cot squared theta minus one upon sin squared theta

Answer 1

Answer:

- 1

Step-by-step explanation:

To find ----> Value of ( Cot²θ - 1 / Sin²θ ) .

Solution-----> Cot²θ - ( 1 / Sin²θ )

=> Cot²θ - ( 1 / Sinθ )²

We know that , Cosecθ = 1 / Sinθ , so,

=> Cot²θ - ( Cosecθ )²

=> Cot²θ - Cosec²θ

=> - ( - Cot²θ + Cosec²θ )

By intetchanging the position , we get,

=> - ( Cosec²θ - Cot²θ )

We know that , Cosec²A - Cot²Α = 1 , applying it here , we get .

=> - ( 1 )

=> - 1

Additional information------->

1) Sin²θ + Cos²θ = 1

2) 1 + tan²θ = Sec²θ

3) 1 + Cot²θ = Cosec²θ

4) Sin ( 90° - θ ) = Cosθ

5) Cos ( 90° - θ ) = Sinθ

6) tan ( 90° - θ ) = Cotθ

7) Cot ( 90° - θ ) = tanθ

8) Sec ( 90° - θ ) = Cosecθ

9) Cosec( 90° - θ ) = Secθ